Results 41 to 50 of about 134 (102)
Riesz means of the Euler totient function
Functiones et Approximatio Commentarii Mathematici, 2019 Let $\phi$ denote the Euler totient function, defined by $id*\mu$ where $\mu$ is the M\"{o}bius function. We shall consider the $k$-th Riesz mean of the arithmetical function $n/\phi(n)$ for any positive integer $k \geq 2$ on the assumption of the Riemann Hypothesis. Our result is a refinement of Theorem 2 in A. Sankaranarayanan and S.K. Singh [6].
Inoue, Shota, Kiuchi, Isao
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An Attack on the Generalized RSA Public Key Scheme Using Two-dimension Lattice
工程科学与技术, 2015 :A method for breaking the generalized RSA public key scheme was proposed using Lagrange’s reduction algorithm based on the two-dimension lattice and the lower bound of Euler's totient function. Moreover, the corresponding attack algorithm was also given
Gou Yun +3 more
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A new characterization of prime numbers and solution to Lehmer's conjecture on Euler's totient function [PDF]
, 2023 Said Zriaa
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Computing the (number of) inverses of Euler's totient and other multiplicative functions. [PDF]
, 2014 Max A. Alekseyev
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Euler's totient function applied to complete hypergroups
, 2023 Andromeda Cristina Sonea, Irina Cristea
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Creating and Using Minimizer Sketches in Computational Genomics. [PDF]
J Comput Biol, 2023 Zheng H, Marçais G, Kingsford C.
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The variance of the Euler totient function
, 2017 In this paper we study the variance of the Euler totient function (normalized to $φ(n)/n$) in the integers $\mathbb{Z}$ and in the polynomial ring $\mathbb{F}_q[T]$ over a finite field $\mathbb{F}_q$. It turns out that in $\mathbb{Z}$, under some assumptions, the variance of the normalized Euler function becomes constant.
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Asymptotic behavior of a series of Euler's totient function $\varphi(k)$ times the index of $1/k$ in a Farey sequence [PDF]
, 2014 Rogelio Tomás
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THE EULER TOTIENT FUNCTION ON QUADRATIC FIELDS
JP Journal of Algebra, Number Theory and Applications, 2021 Diaz-Vargas, Javier +2 more
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