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[math/0404116] Complexity of Inverting the Euler Function
arXiv
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arXiv
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由 S Contini 著作2004被引用 13 次 — We present an algorithm to invert the Euler function \phi(m). The algorithm, for a given n \geq 1, in polynomial time ``on average'', finds the set \Psi(n) of ...
(PDF) Complexity of Inverting the Euler Function
ResearchGate
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2024年10月22日 — Abstract. We present an algorithm to invert the Euler function ϕ ( m ) \phi(m) . The algorithm, for a given n ≥ 1 n \geq 1 , in polynomial time ...
Complexity of Inverting the Euler Function
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由 S Contini 著作2006被引用 13 次 — In this paper we study the complexity of inverting the Euler function Wp(m), which, as usual, for an integer m > 1, is defined by. -o(m)= #(Z ...
Complexity of Inverting the Euler Function - Ernie Croot
Georgia Institute of Technology
https://ecroot.math.gatech.edu › shparlinski2
Georgia Institute of Technology
https://ecroot.math.gatech.edu › shparlinski2
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由 S Contini 著作2004被引用 13 次 — In this paper we study the complexity of a new number theoretic problem, namely the complexity of inverting the Euler function ϕ(m), which ...
[PDF] Complexity of inverting the Euler function
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On the proportion of numbers coprime to a given integer · Computing the Inverses, their Power Sums, and Extrema for Euler's Totient and Other Multiplicative ...
Complexity of inverting the Euler function
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In this paper we study the complexity of inverting the Euler function ϕ(m), which, as usual, for an integer m ≥ 1, is defined by. ϕ(m) = #(Z/mZ)×. = pα m pα ...
AMS :: Mathematics of Computation
American Mathematical Society
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由 S Contini 著作2006被引用 13 次 — Complexity of inverting the Euler function. HTML articles powered by AMS MathViewer. by Scott Contini, Ernie Croot and Igor E. Shparlinski;: Math. Comp. 75 ...
Complexity of inverting the Euler function
Macquarie University
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Macquarie University
https://researchers.mq.edu.au › publications
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Given an integer n, how hard is it to find the set of all integers m such that φ(m) = n, where φ is the Euler totient function? We present a certain basic ...
inversion of the Euler totient function
Mathematics Stack Exchange
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Mathematics Stack Exchange
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2012年12月26日 — One can calculate all of the possible integers with a totient of n using "Inverse Totient Trees." For instance, take the integers with a totient of 24.
3 個答案 · 最佳解答: Warning, you are going to have to do some work to get your hands around this answer, but I ...
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Complexity of inverting the Euler function - R Discovery
R Discovery
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R Discovery
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Given an integer n n , how hard is it to find the set of all integers m m such that φ ( m ) = n \varphi (m) = n , where φ \varphi is the Euler totient ...
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