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The Riemann Zeta Function With Even Arguments as Sums ...
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由 M Merca 著作2017被引用 9 次 — In this paper, we consider the formal symmetric functions in infinitely many vari- ables to prove that the Riemann zeta function with even arguments, ζ(2n), can ...
The Riemann Zeta Function With Even Arguments as Sums ...
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2017年5月22日 — In this note, we build on recent work in [7] to establish formulas for ζ(2n) as sums over all the unrestricted integer partitions of n.
The Riemann Zeta Function With Even Arguments as Sums Over ...
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Alternative expressions for the Riemann zeta and related functions at positive even integers and infinite sums involving zeros of Bessel and spherical Bessel ...
The Riemann Zeta Function With Even Arguments as Sums ...
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由 M Merca 著作2017被引用 9 次 — Abstract. In this note, we build on recent work in [7] to establish formulas for ζ(2n) as sums over all the unrestricted integer partitions ...
The Riemann Zeta Function With Even Arguments as Sums Over ...
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Merca M. The Riemann Zeta Function With Even Arguments as Sums Over Integer Partitions // American Mathematical Monthly. 2017. Vol. 124. No. 6. pp. 554-557.
Statistical mechanics: the Riemann zeta function ...
University of Exeter
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University of Exeter
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In the zero temperature limit the correlation functions are given in elementary form in terms of Riemann's zeta function at even integer arguments." A.P.C. ...
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Riemann hypothesis
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The Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 1/2.
Partition zeta functions
Deutsche Nationalbibliothek
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Deutsche Nationalbibliothek
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由 R Schneider 著作2016被引用 36 次 — We exploit transformations relating generalized q-series, infinite products, sums over integer partitions, and continued fractions, to find partition-theoretic ...
Euler–Riemann Zeta Function and Chebyshev–Stirling ...
Springer
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由 C Ballantine 著作2018被引用 2 次 — In this paper, we give asymptotic formulas that combine the Euler–Riemann zeta function and the Chebyshev–Stirling numbers of the first kind ...
Explorations in the theory of partition zeta functions
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由 K Ono 著作2016被引用 11 次 — Abstract. We introduce and survey results on two families of zeta functions connected to the multiplicative and additive theories of integer partitions.
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