Edit Profile (opens in new tab) Vandiver, Harry Schultz (b. 1882 d. 1973) Co-Author Distance Author ID: vandiver.harry-schultz Published as: Vandiver, H. S.; Vandiver, Harry Schultz External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 236 Publications since 1902, including 2 Books 2 Further Contributions Biographic References: 3 Publications Co-Authors: 13 Co-Authors with 22 Joint Publications 85 Co-Co-Authors all top 5 Co-Authors 214 single-authored 5 Nicol, Charles A. 4 Hua, Luogeng 3 Wahlin, George Eric 3 Weaver, Milo W. 2 Faircloth, Olin B. 2 Selfridge, John L. 2 Stafford, Elizabeth T. 1 Andree, Richard V. 1 Birkhoff, George David 1 Dickson, Leonard Eugene 1 Lehmer, Derrick Henry 1 Mitchell, Howard Hawks 1 Osborn, Roger 1 Pearson, Erna H. 1 Trotskaia Lehmer, Emma all top 5 Serials 80 Proceedings of the National Academy of Sciences of the United States of America 77 Bulletin of the American Mathematical Society 20 Annals of Mathematics. Second Series 14 American Mathematical Monthly 8 Duke Mathematical Journal 7 Mathematics Magazine 6 Transactions of the American Mathematical Society 5 American Journal of Mathematics 4 Monatshefte für Mathematik und Physik 3 Scripta Mathematica 2 Commentarii Mathematici Helvetici 1 Journal of Mathematical Analysis and Applications 1 Journal für die Reine und Angewandte Mathematik 1 L’Enseignement Mathématique Fields 44 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 1 History and biography (01-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 440 times in 326 Documents Cited by ▼ Year ▼ On the integral divisors of \(a^n - b^n\). JFM 35.0205.01 Birkhoff, George David; Vandiver, H. S. 80 1904 Note on a simple type of algebra in which the cancellation law of addition does not hold. Zbl 0010.38804 Vandiver, H. S. 70 1934 Note on a simple type of algebra in which the cancellation law of addition does not hold. JFM 60.0901.04 Vandiver, H. S. 29 1934 Characters over certain types of rings with applications to the theory of equations in a finite field. Zbl 0032.39102 Hua, L. K.; Vandiver, H. S. 22 1949 A von Sterneck arithmetical function and restricted partitions with respect to a modulus. Zbl 0056.04001 Nicol, C. A.; Vandiver, H. S. 14 1954 On Bernoulli’s numbers and Fermat’s last theorem. Zbl 0018.00505 Vandiver, H. S. 12 1937 An application of highspeed computing to Fermat’s last theorem. Zbl 0055.04004 Lehmer, D. H.; Lehmer, Emma; Vandiver, H. S. 10 1954 Fermat’s last theorem. Its history and the nature of the known results concerning it. Zbl 0063.07969 Vandiver, H. S. 8 1946 On developments in an arithmetic theory of the Bernoulli and allied numbers. Zbl 0100.26901 Vandiver, H. S. 8 1961 On the existence of solutions of certain equations in a finite field. Zbl 0030.34202 Hua, L. K.; Vandiver, H. S. 7 1948 Proof of Fermat’s last theorem for all prime exponents less than 4002. Zbl 0065.27304 Selfridge, J. L.; Nicol, C. A.; Vandiver, H. S. 7 1955 On the nature of the solutions of certain equations in a finite field. Zbl 0034.01301 Hua, Loo-Keng; Vandiver, H. S. 6 1949 On the number of solutions of some trinomial equations in a finite field. Zbl 0034.01302 Hua, Loo-Keng; Vandiver, H. S. 6 1949 An arithmetical theory of the Bernoulli numbers. Zbl 0063.07956 Vandiver, H. S. 6 1942 Determination of some properly irregular cyclotomic fields. JFM 56.0887.04 Stafford, E. T.; Vandiver, H. S. 5 1930 Note on Euler number criteria for the first case of Fermat’s last theorem. Zbl 0022.30703 Vandiver, H. S. 5 1940 Examination of methods of attack on the second case of Fermat’s theorem. Zbl 0056.04103 Vandiver, H. S. 5 1954 Fermat’s last theorem and the second factor in the cyclotomic class number. Zbl 0009.00701 Vandiver, H. S. 5 1934 An arithmetical theory of the Bernoulli numbers. Zbl 0063.07951 Vandiver, H. S. 4 1942 Symmetric functions formed by systems of elements of a finite algebra and their connection with Fermat’s quotient and Bernoulli’s numbers. JFM 46.1444.03 Vandiver, H. S. 4 1917 Extension of the criteria of Wieferich and Mirimanoff in connection with Fermat’s last theorem. JFM 45.0289.02 Vandiver, H. S. 4 1914 A development of associative algebra and an algebraic theory of numbers. IV. Zbl 0074.25801 Vandiver, H. S.; Weaver, Milo W. 4 1956 A property of cyclotomic integers and its relation to Fermat’s last theorem. JFM 47.0151.03 Vandiver, H. S. 4 1919 On the first factor of the class number of a cyclotomic field. JFM 47.0151.05 Vandiver, H. S. 4 1919 An aspect of the linear congruence, with applications to the theory of Fermat’s quotient. JFM 45.1251.02 Vandiver, H. S. 4 1915 Summary of results and proofs on Fermat’s last theorem (sixth paper). Zbl 0003.15002 Vandiver, H. S. 4 1931 On trinomial diophantine equations connected with the Fermat relation. Zbl 0013.34602 Vandiver, H. S. 4 1936 On some simple types of semi-rings. Zbl 0020.19904 Vandiver, H. S. 4 1939 A property of cyclotomic integers and its relation to Fermat’s last theorem. II. JFM 51.0136.01 Vandiver, H. S. 4 1925 Summary of results and proofs on Fermat’s last theorem. V. JFM 56.0170.02 Vandiver, H. S. 3 1930 Introduction to arithmetic factorization and congruences from the standpoint of abstract algebra. Zbl 0084.27002 Vandiver, H. S.; Weaver, Milo W. 3 1958 On the method of infinite descent in connection with Fermat’s last theorem for regular prime exponents. Zbl 0005.10001 Vandiver, H. S. 3 1932 Certain congruences involving the Bernoulli numbers. JFM 65.0126.01 Vandiver, H. S. 3 1939 New types of trinomial congruence criteria applying to Fermat’s last theorem. Zbl 0056.04101 Vandiver, H. S. 3 1954 On Kummer’s memoir of 1857 concerning Fermat’s last theorem. JFM 47.0151.01 Vandiver, H. S. 3 1920 On the second factor of the class number of a cyclotomic field. JFM 56.0887.02 Vandiver, H. S. 2 1930 On Fermat’s last theorem. JFM 55.0701.04 Vandiver, H. S. 2 1929 Algebraic numbers. Report of the Committee on algebraic numbers. National Research Council. (Bull. of the Nat. Res. Concil, vol. 5, Part. 3.). JFM 49.0109.01 Dickson, L. E.; Mitchell, H. H.; Vandiver, H. S.; Wahlin, G. E. 2 1923 On a \(p\)-adic representation of rings and Abelian groups. Zbl 0033.15203 Vandiver, H. S. 2 1947 On congruences which relate the Fermat and Wilson quotients to the Bernoulli numbers. Zbl 0033.35103 Vandiver, H. S. 2 1949 On a generalization of a Jacobi exponential sum associated with cyclotomy. Zbl 0037.02904 Vandiver, H. S. 2 1950 A development of associative algebra and an algebraic theory of numbers. II. Zbl 0052.25302 Vandiver, H. S. 2 1953 Is there an infinity of regular primes? Zbl 0071.04402 Vandiver, H. S. 2 1956 On Kummer’s memoir of 1857 concerning Fermat’s last theorem. JFM 48.1172.03 Vandiver, H. S. 2 1922 The generalized Lagrange indeterminate congruence for a composite ideal modulus. JFM 46.1449.02 Vandiver, H. S. 2 1917 Theory of finite algebras. JFM 43.0162.10 Vandiver, H. S. 2 1912 Note on the divisors of the numerators of Bernoulli’s numbers. Zbl 0005.34402 Vandiver, H. S. 2 1932 On the foundations of a constructive theory of discrete commutative algebra. Zbl 0011.29003 Vandiver, H. S. 2 1934 Certain congruences involving the Bernoulli numbers. Zbl 0021.39003 Vandiver, H. S. 2 1939 On the imbedding of one semi-group in another, with application to semi-rings. JFM 66.0097.03 Vandiver, H. S. 2 1940 Simple explicit expressions for generalized Bernoulli numbers of the first order. Zbl 0063.07952 Vandiver, H. S. 2 1941 A development of associative algebra and an algebraic theory of numbers. III. Zbl 0072.25503 Vandiver, H. S.; Weaver, Milo W. 2 1956 Supplement to a paper entitled ”A von Sterneck arithmetical function and restricted partitions with respect to a modulus”. Zbl 0082.03701 Nicol, C. A.; Vandiver, H. S. 2 1958 Some of my recollections of George David Birkhoff. Zbl 0109.00503 Vandiver, H. S. 2 1963 A table of indices and power residues for all primes and prime powers below 2000. Computed by The University of Oklahoma Mathematical Tables Project under the direction of Richard V. Andree. With an introduction by H. S. Vandiver. Zbl 0121.28303 2 1962 Note on trinomial congruences and the first case of Fermat’s last theorem. JFM 51.0136.02 Vandiver, H. S. 2 1925 Algebraic numbers II. JFM 54.0188.01 Vandiver, H. S.; Wahlin, G. E. 2 1928 A new type of criteria for the first case of Fermat’s last theorem. JFM 50.0090.01 Vandiver, H. S. 2 1924 On power characters of singular integers in a properly irregular cyclotomic field. JFM 56.0169.04 Vandiver, H. S. 1 1930 Quadratic relations involving the numbers of solutions of certain types of equations in a finite field. Zbl 0035.29204 Vandiver, H. S. 1 1949 On multiplicative properties of a generalized Jacobi-Cauchy cyclotomic sum. Zbl 0035.31002 Faircloth, O. B.; Vandiver, H. S. 1 1950 On certain diophantine equations in rings and fields. Zbl 0048.02903 Faircloth, O. B.; Vandiver, H. S. 1 1952 On trinomial equations in a finite field. Zbl 0056.26804 Vandiver, H. S. 1 1954 A supplementary note to a 1946 article on Fermat’s last theorem. Zbl 0051.28002 Vandiver, H. S. 1 1953 A development of associative algebra and an algebraic theory of numbers. I. Zbl 0052.25301 Vandiver, H. S. 1 1952 Some theorems in finite field theory with applications to Fermat’s last theorem. Zbl 0063.07958 Vandiver, H. S. 1 1944 On classes of Diophantine equations of higher degrees which have no solutions. Zbl 0063.07966 Vandiver, H. S. 1 1946 On distribution problems involving the numbers of solutions of certain trinomial congruences. Zbl 0090.25901 Vandiver, H. S. 1 1959 Note on a certain ring-congruence. Zbl 0017.10002 Vandiver, H. S. 1 1937 On general methods for obtaining congruences involving Bernoulli numbers. JFM 66.0139.02 Vandiver, H. S. 1 1940 Note on Euler number criteria for the first case of Fermat’s last theorem. JFM 66.0152.03 Vandiver, H. S. 1 1940 On some simple types of semi-rings. JFM 65.0087.01 Vandiver, H. S. 1 1939 A development of associative algebra and an algebraic theory of numbers. I. Zbl 0049.30601 Vandiver, H. S. 1 1952 The relation of some data obtained from rapid computing machines to the theory of cyclotomic fields. Zbl 0056.04102 Vandiver, H. S. 1 1954 On a new problem concerning trinomial congruences involving rational integers. Zbl 0052.27801 Pearson, Erna H.; Vandiver, H. S. 1 1953 On generating functions for restricted partitions of rational integers. Zbl 0064.28001 Nicol, C. A.; Vandiver, H. S. 1 1955 Relation of the theory of certain trinomial equations on a finite field to Fermat’s last theorem. Zbl 0065.27302 Vandiver, H. S. 1 1955 Divisibility problems in number theory. Zbl 0066.02904 Vandiver, H. S. 1 1955 On the number of solutions of certain non-homogeneous trinomial equations in a finite field. Zbl 0063.07962 Vandiver, H. S. 1 1945 Some aspects of the Fermat problem. IV. Zbl 0116.03505 Vandiver, H. S. 1 1963 On the class number of the field \(\Omega (e^{2i\pi /p^n})\) and the second case of Fermat’s last theorem. JFM 47.0151.02 Vandiver, H. S. 1 1920 A note on units in super-cyclic fields. Zbl 0010.29103 Vandiver, H. S. 1 1934 Constructive derivation of the decomposition-field of a polynomial. Zbl 0013.34005 Vandiver, H. S. 1 1936 The elements of a theory of abstract discrete semi-groups. Zbl 0023.21501 Vandiver, H. S. 1 1940 On generalizations of the numbers of Bernoulli and Euler. Zbl 0017.34101 Vandiver, H. S. 1 1937 On generalizations of the numbers of Bernoulli and Euler. JFM 63.0107.01 Vandiver, H. S. 1 1937 On Bernoulli’s numbers and Fermat’s last theorem. JFM 63.0895.01 Vandiver, H. S. 1 1937 Some of my recollections of George David Birkhoff. Zbl 0109.00503 Vandiver, H. S. 2 1963 Some aspects of the Fermat problem. IV. Zbl 0116.03505 Vandiver, H. S. 1 1963 A table of indices and power residues for all primes and prime powers below 2000. Computed by The University of Oklahoma Mathematical Tables Project under the direction of Richard V. Andree. With an introduction by H. S. Vandiver. Zbl 0121.28303 2 1962 On developments in an arithmetic theory of the Bernoulli and allied numbers. Zbl 0100.26901 Vandiver, H. S. 8 1961 On distribution problems involving the numbers of solutions of certain trinomial congruences. Zbl 0090.25901 Vandiver, H. S. 1 1959 Introduction to arithmetic factorization and congruences from the standpoint of abstract algebra. Zbl 0084.27002 Vandiver, H. S.; Weaver, Milo W. 3 1958 Supplement to a paper entitled ”A von Sterneck arithmetical function and restricted partitions with respect to a modulus”. Zbl 0082.03701 Nicol, C. A.; Vandiver, H. S. 2 1958 A development of associative algebra and an algebraic theory of numbers. IV. Zbl 0074.25801 Vandiver, H. S.; Weaver, Milo W. 4 1956 Is there an infinity of regular primes? Zbl 0071.04402 Vandiver, H. S. 2 1956 A development of associative algebra and an algebraic theory of numbers. III. Zbl 0072.25503 Vandiver, H. S.; Weaver, Milo W. 2 1956 Proof of Fermat’s last theorem for all prime exponents less than 4002. Zbl 0065.27304 Selfridge, J. L.; Nicol, C. A.; Vandiver, H. S. 7 1955 On generating functions for restricted partitions of rational integers. Zbl 0064.28001 Nicol, C. A.; Vandiver, H. S. 1 1955 Relation of the theory of certain trinomial equations on a finite field to Fermat’s last theorem. Zbl 0065.27302 Vandiver, H. S. 1 1955 Divisibility problems in number theory. Zbl 0066.02904 Vandiver, H. S. 1 1955 A von Sterneck arithmetical function and restricted partitions with respect to a modulus. Zbl 0056.04001 Nicol, C. A.; Vandiver, H. S. 14 1954 An application of highspeed computing to Fermat’s last theorem. Zbl 0055.04004 Lehmer, D. H.; Lehmer, Emma; Vandiver, H. S. 10 1954 Examination of methods of attack on the second case of Fermat’s theorem. Zbl 0056.04103 Vandiver, H. S. 5 1954 New types of trinomial congruence criteria applying to Fermat’s last theorem. Zbl 0056.04101 Vandiver, H. S. 3 1954 On trinomial equations in a finite field. Zbl 0056.26804 Vandiver, H. S. 1 1954 The relation of some data obtained from rapid computing machines to the theory of cyclotomic fields. Zbl 0056.04102 Vandiver, H. S. 1 1954 A development of associative algebra and an algebraic theory of numbers. II. Zbl 0052.25302 Vandiver, H. S. 2 1953 A supplementary note to a 1946 article on Fermat’s last theorem. Zbl 0051.28002 Vandiver, H. S. 1 1953 On a new problem concerning trinomial congruences involving rational integers. Zbl 0052.27801 Pearson, Erna H.; Vandiver, H. S. 1 1953 On certain diophantine equations in rings and fields. Zbl 0048.02903 Faircloth, O. B.; Vandiver, H. S. 1 1952 A development of associative algebra and an algebraic theory of numbers. I. Zbl 0052.25301 Vandiver, H. S. 1 1952 A development of associative algebra and an algebraic theory of numbers. I. Zbl 0049.30601 Vandiver, H. S. 1 1952 On a generalization of a Jacobi exponential sum associated with cyclotomy. Zbl 0037.02904 Vandiver, H. S. 2 1950 On multiplicative properties of a generalized Jacobi-Cauchy cyclotomic sum. Zbl 0035.31002 Faircloth, O. B.; Vandiver, H. S. 1 1950 Characters over certain types of rings with applications to the theory of equations in a finite field. Zbl 0032.39102 Hua, L. K.; Vandiver, H. S. 22 1949 On the nature of the solutions of certain equations in a finite field. Zbl 0034.01301 Hua, Loo-Keng; Vandiver, H. S. 6 1949 On the number of solutions of some trinomial equations in a finite field. Zbl 0034.01302 Hua, Loo-Keng; Vandiver, H. S. 6 1949 On congruences which relate the Fermat and Wilson quotients to the Bernoulli numbers. Zbl 0033.35103 Vandiver, H. S. 2 1949 Quadratic relations involving the numbers of solutions of certain types of equations in a finite field. Zbl 0035.29204 Vandiver, H. S. 1 1949 On the existence of solutions of certain equations in a finite field. Zbl 0030.34202 Hua, L. K.; Vandiver, H. S. 7 1948 On a \(p\)-adic representation of rings and Abelian groups. Zbl 0033.15203 Vandiver, H. S. 2 1947 Fermat’s last theorem. Its history and the nature of the known results concerning it. Zbl 0063.07969 Vandiver, H. S. 8 1946 On classes of Diophantine equations of higher degrees which have no solutions. Zbl 0063.07966 Vandiver, H. S. 1 1946 On the number of solutions of certain non-homogeneous trinomial equations in a finite field. Zbl 0063.07962 Vandiver, H. S. 1 1945 Some theorems in finite field theory with applications to Fermat’s last theorem. Zbl 0063.07958 Vandiver, H. S. 1 1944 An arithmetical theory of the Bernoulli numbers. Zbl 0063.07956 Vandiver, H. S. 6 1942 An arithmetical theory of the Bernoulli numbers. Zbl 0063.07951 Vandiver, H. S. 4 1942 Simple explicit expressions for generalized Bernoulli numbers of the first order. Zbl 0063.07952 Vandiver, H. S. 2 1941 Note on Euler number criteria for the first case of Fermat’s last theorem. Zbl 0022.30703 Vandiver, H. S. 5 1940 On the imbedding of one semi-group in another, with application to semi-rings. JFM 66.0097.03 Vandiver, H. S. 2 1940 On general methods for obtaining congruences involving Bernoulli numbers. JFM 66.0139.02 Vandiver, H. S. 1 1940 Note on Euler number criteria for the first case of Fermat’s last theorem. JFM 66.0152.03 Vandiver, H. S. 1 1940 The elements of a theory of abstract discrete semi-groups. Zbl 0023.21501 Vandiver, H. S. 1 1940 On some simple types of semi-rings. Zbl 0020.19904 Vandiver, H. S. 4 1939 Certain congruences involving the Bernoulli numbers. JFM 65.0126.01 Vandiver, H. S. 3 1939 Certain congruences involving the Bernoulli numbers. Zbl 0021.39003 Vandiver, H. S. 2 1939 On some simple types of semi-rings. JFM 65.0087.01 Vandiver, H. S. 1 1939 On Bernoulli’s numbers and Fermat’s last theorem. Zbl 0018.00505 Vandiver, H. S. 12 1937 Note on a certain ring-congruence. Zbl 0017.10002 Vandiver, H. S. 1 1937 On generalizations of the numbers of Bernoulli and Euler. Zbl 0017.34101 Vandiver, H. S. 1 1937 On generalizations of the numbers of Bernoulli and Euler. JFM 63.0107.01 Vandiver, H. S. 1 1937 On Bernoulli’s numbers and Fermat’s last theorem. JFM 63.0895.01 Vandiver, H. S. 1 1937 On trinomial diophantine equations connected with the Fermat relation. Zbl 0013.34602 Vandiver, H. S. 4 1936 Constructive derivation of the decomposition-field of a polynomial. Zbl 0013.34005 Vandiver, H. S. 1 1936 Note on a simple type of algebra in which the cancellation law of addition does not hold. Zbl 0010.38804 Vandiver, H. S. 70 1934 Note on a simple type of algebra in which the cancellation law of addition does not hold. JFM 60.0901.04 Vandiver, H. S. 29 1934 Fermat’s last theorem and the second factor in the cyclotomic class number. Zbl 0009.00701 Vandiver, H. S. 5 1934 On the foundations of a constructive theory of discrete commutative algebra. Zbl 0011.29003 Vandiver, H. S. 2 1934 A note on units in super-cyclic fields. Zbl 0010.29103 Vandiver, H. S. 1 1934 On the method of infinite descent in connection with Fermat’s last theorem for regular prime exponents. Zbl 0005.10001 Vandiver, H. S. 3 1932 Note on the divisors of the numerators of Bernoulli’s numbers. Zbl 0005.34402 Vandiver, H. S. 2 1932 Summary of results and proofs on Fermat’s last theorem (sixth paper). Zbl 0003.15002 Vandiver, H. S. 4 1931 Determination of some properly irregular cyclotomic fields. JFM 56.0887.04 Stafford, E. T.; Vandiver, H. S. 5 1930 Summary of results and proofs on Fermat’s last theorem. V. JFM 56.0170.02 Vandiver, H. S. 3 1930 On the second factor of the class number of a cyclotomic field. JFM 56.0887.02 Vandiver, H. S. 2 1930 On power characters of singular integers in a properly irregular cyclotomic field. JFM 56.0169.04 Vandiver, H. S. 1 1930 On Fermat’s last theorem. JFM 55.0701.04 Vandiver, H. S. 2 1929 Algebraic numbers II. JFM 54.0188.01 Vandiver, H. S.; Wahlin, G. E. 2 1928 A property of cyclotomic integers and its relation to Fermat’s last theorem. II. JFM 51.0136.01 Vandiver, H. S. 4 1925 Note on trinomial congruences and the first case of Fermat’s last theorem. JFM 51.0136.02 Vandiver, H. S. 2 1925 A new type of criteria for the first case of Fermat’s last theorem. JFM 50.0090.01 Vandiver, H. S. 2 1924 Algebraic numbers. Report of the Committee on algebraic numbers. National Research Council. (Bull. of the Nat. Res. Concil, vol. 5, Part. 3.). JFM 49.0109.01 Dickson, L. E.; Mitchell, H. H.; Vandiver, H. S.; Wahlin, G. E. 2 1923 On Kummer’s memoir of 1857 concerning Fermat’s last theorem. JFM 48.1172.03 Vandiver, H. S. 2 1922 On Kummer’s memoir of 1857 concerning Fermat’s last theorem. JFM 47.0151.01 Vandiver, H. S. 3 1920 On the class number of the field \(\Omega (e^{2i\pi /p^n})\) and the second case of Fermat’s last theorem. JFM 47.0151.02 Vandiver, H. S. 1 1920 A property of cyclotomic integers and its relation to Fermat’s last theorem. JFM 47.0151.03 Vandiver, H. S. 4 1919 On the first factor of the class number of a cyclotomic field. JFM 47.0151.05 Vandiver, H. S. 4 1919 Symmetric functions formed by systems of elements of a finite algebra and their connection with Fermat’s quotient and Bernoulli’s numbers. JFM 46.1444.03 Vandiver, H. S. 4 1917 The generalized Lagrange indeterminate congruence for a composite ideal modulus. JFM 46.1449.02 Vandiver, H. S. 2 1917 An aspect of the linear congruence, with applications to the theory of Fermat’s quotient. JFM 45.1251.02 Vandiver, H. S. 4 1915 Extension of the criteria of Wieferich and Mirimanoff in connection with Fermat’s last theorem. JFM 45.0289.02 Vandiver, H. S. 4 1914 Theory of finite algebras. JFM 43.0162.10 Vandiver, H. S. 2 1912 On the integral divisors of \(a^n - b^n\). JFM 35.0205.01 Birkhoff, George David; Vandiver, H. S. 80 1904 all cited Publications top 5 cited Publications all top 5 Cited by 405 Authors 7 Chen, Yonggao 6 Davvaz, Bijan 5 Bhuniya, Anjan Kumar 5 Carlitz, Leonard 5 Mohindru, Preeti 5 Mondal, Tapas Kumar 4 Amiraslani, Amirhossein 4 Anjum, Rukhshanda 4 Cochrane, Todd 4 Ghalandarzadeh, Shaban 4 Jamshidvand, Sedighe 4 Kallaher, Michael J. 4 Krishna Rao, Marapureddy Murali 4 Olia, Fateme 4 Rotkiewicz, Andrzej 4 Sharma, Tilak Raj 4 Spencer, Craig V. 4 Stewart, Cameron L. 3 Bibak, Khodakhast 3 Bonde, Dipak Ravindra 3 Cao, Wei 3 Chaudhari, Jayprakash Ninu 3 Cohen, Eckford 3 Corry, Leo 3 Gupta, Sugato 3 Han, Songchol 3 Johnson, Wells 3 Kepka, Tomas 3 Kim, Minsoo 3 Mednykh, Aleksandr Dmitrievich 3 Metsänkylä, Tauno 3 Nedela, Roman 3 Ostergaard, Misty 3 Pereira, Rajesh 3 Ranote, Hitesh Kumar 3 Sardar, Sujit Kumar 3 Shabir, Muhammad 3 Sun, Qi 3 Vechtomov, Evgeniĭ Mikhaĭlovich 3 Venkateswarlu, Bollineni 2 Agoh, Takashi 2 Alnaser, Ala’ Jamil 2 Apostol, Tom M. 2 Bugeaud, Yann 2 Buhler, Joe P. 2 Cohen, Boaz 2 Dénes, Péter 2 Dey, Krishanu 2 Dudek, Wiesław Aleksander 2 Ernvall, Reijo 2 Foulser, David A. 2 Gandhi, J. M. 2 Goswami, Nabanita 2 Guterman, Alexander Èmilevich 2 Harvey, David 2 Hering, Christoph H. 2 Hsia, Liang-Chung 2 Hu, Shuangnian 2 Hu, Su 2 Iseki, Kiyoshi 2 Jana, Kanchan 2 Ježek, Jaroslav 2 Johnson, Norman Lloyd 2 Kantor, William M. 2 Kapron, Bruce M. 2 Kausar, Nasreen 2 Kim, Kyung Ho 2 Le, Maohua 2 Liao, Zuhua 2 Luca, Florian 2 Luo, Xiaotang 2 Ostrom, Theodore G. 2 Pibaljommee, Bundit 2 Richard, Denis 2 Saikia, Helen Kumari 2 Seitz, Gary M. 2 Shao, Yong 2 Shparlinski, Igor E. 2 Silverman, Joseph Hillel 2 Sitaraman, Sankar 2 Skula, Ladislav 2 Srinivasan, Venkatesh 2 Sun, Zhihong 2 Tauraso, Roberto 2 Thaine, Francisco 2 Tolstikov, A. V. 2 Tóth, László 2 Vandiver, Harry Schultz 2 Voutier, Paul M. 2 Vsemirnov, Maxim 2 Weinert, Hanns Joachim 2 Zhu, Chan 1 Abdollahi, H. 1 Abdullah, Saleem 1 Abhyankar, Shreeram Shankar 1 Adler, Jeffrey D. 1 Ahmed, Kashif 1 Ahmed, Yaqoub 1 Aigner, Alexander 1 Akbari, Mozhgan ...and 305 more Authors all top 5 Cited in 132 Serials 28 Journal of Number Theory 15 Mathematics of Computation 11 Journal of Algebra 11 Proceedings of the American Mathematical Society 8 Finite Fields and their Applications 6 Discrete Mathematics 6 Mathematische Zeitschrift 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Transactions of the American Mathematical Society 5 Journal of Mathematical Analysis and Applications 5 The Mathematical Intelligencer 5 Monatshefte für Mathematik 5 Semigroup Forum 5 Journal de Théorie des Nombres de Bordeaux 5 Journal of Algebra and its Applications 4 Archive for History of Exact Sciences 4 Communications in Algebra 4 Journal of Mathematical Sciences (New York) 4 The Ramanujan Journal 4 Integers 4 Bulletin of the American Mathematical Society 4 Proceedings of the Japan Academy 4 Afrika Matematika 3 Bulletin of the Australian Mathematical Society 3 Computers & Mathematics with Applications 3 Linear and Multilinear Algebra 3 Acta Arithmetica 3 Acta Mathematica 3 Archiv der Mathematik 3 Mathematica Slovaca 3 Acta Mathematica Hungarica 3 Bulletin of the American Mathematical Society. New Series 3 South East Asian Journal of Mathematics and Mathematical Sciences 3 International Journal of Number Theory 3 Asian-European Journal of Mathematics 3 Asia Pacific Journal of Mathematics 3 Korean Journal of Mathematics 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 International Journal of Mathematical Education in Science and Technology 2 Periodica Mathematica Hungarica 2 Rocky Mountain Journal of Mathematics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Algebra Universalis 2 Compositio Mathematica 2 Czechoslovak Mathematical Journal 2 Inventiones Mathematicae 2 The Journal of the Indian Mathematical Society. New Series 2 Journal of Pure and Applied Algebra 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Designs, Codes and Cryptography 2 Indagationes Mathematicae. New Series 2 Soft Computing 2 Journal of Integer Sequences 2 Journal of the Australian Mathematical Society 2 JP Journal of Algebra, Number Theory and Applications 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Monatshefte für Mathematik und Physik 2 Proyecciones 2 Journal of Applied Mathematics & Informatics 2 Mathematical Sciences 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Houston Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin of the London Mathematical Society 1 Demonstratio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Journal of Geometry 1 The Journal of Symbolic Logic 1 Kodai Mathematical Journal 1 Mathematische Nachrichten 1 Mathematika 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Annals of Pure and Applied Logic 1 Forum Mathematicum 1 Mathematica Bohemica 1 International Journal of Foundations of Computer Science 1 Aequationes Mathematicae 1 Historia Mathematica 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Acta Mathematica Sinica. New Series 1 Algebra Colloquium 1 Georgian Mathematical Journal 1 Filomat 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Mathematical Communications 1 Representation Theory 1 Vietnam Journal of Mathematics 1 Honam Mathematical Journal 1 Novi Sad Journal of Mathematics 1 Mathematica Moravica 1 Foundations of Science ...and 32 more Serials all top 5 Cited in 30 Fields 162 Number theory (11-XX) 100 Associative rings and algebras (16-XX) 32 Group theory and generalizations (20-XX) 20 Field theory and polynomials (12-XX) 19 Combinatorics (05-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 History and biography (01-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 11 Geometry (51-XX) 10 Algebraic geometry (14-XX) 8 Information and communication theory, circuits (94-XX) 7 Mathematical logic and foundations (03-XX) 6 General algebraic systems (08-XX) 6 Commutative algebra (13-XX) 6 Numerical analysis (65-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 General topology (54-XX) 2 Nonassociative rings and algebras (17-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.