We obtain representations over non-trivial zeros of zeta function for two arithmetic functions u03c81(x) = u2211nu2264x (x - n)u039b(n) and $psi_{2}(x)=sum_{n leq x}Lambda(n)lnfrac{x}{n}$. This result is similar to classical representations of such kind for the Chebyshev ...
For 0< α≤1 and 0< λ≤1, λ rational, we consider the sum of values of the Lerch zeta-function L ( λ , α , s ) taken at the nontrivial zeros of the Dirichlet L -function L ( s , χ ), where \\(\\chi \\bmod Q\\) , Q ≥1, is a primitive Dirichlet character....
IlyaKodua / Non_trivial_zeros_of_the_Riemann_zeta_function Star 0 Code Issues Pull requests First 2,001,052 zeros of zeta function riemann-zeta zeros non-trivial non-trivial-zeros Updated Feb 6, 2022 Improve this page Add a description, image, and links to the non-trivial topic...
201307.5723v3 Some sums over the non-trivial zeros of the Riemann zeta function 热度: ISLOGICALLYNON-TRIVIAL byOlgaKosheleva andVladikKreinovich 1 ComputerScienceDepartment UniversityofTexasatElPaso,ElPaso,TX79968 emailolga@cs.utep.eduandvladik@cs.utep.edu ...
Sadie A. Sherratt (2025).Phase-Locked Modular Resonance and the Structure of Zeta Zeros. 📄 Overview This repository includes the full data bundle for the harmonic sieve model, designed to detect nontrivial Riemann zeta zeros using a phase-locked modular resonance approach. This approach leverages...
201307.5723v3 Some sums over the non-trivial zeros of the Riemann zeta function Lean Production and Its Application Assessment Using Set Pair Analysis.tmp Maximisation of non-coking coals in coke production from non-recovery coke ovens. nature15725-Global non-linear effect of temperature on economic...
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Wei Zhang - Cycles on products of elliptic curves and a conjecture of Beilinson 01:10:48 Terence Tao Vaporizing and freezing the Riemann zeta function 01:02:10 Moments of L-functions - Kannan Soundararajan [2011] 58:56 The Bombieri-Vinogradov theorem (16) Kannan Soundararajan (Stanford...
(12) from Proposition 7, we know that →∑n=1-1/21n2=-π23→∑n=1-1/21=-12→∑n=1-1/2n2k=0,so all the fractional sums →∑n=1-1/2n2k disappear for positive integers k (because of the trivial zeroes of the Riemann Zeta function), and only finitely many terms survive: S(...
simultaneously approximated by shifts ( ζ ( s + i γ k h ) , ζ ( s + i γ k h , α ) ) of the Riemann and Hurwitz zeta-functions with transcendental parameter α , where 0 < γ 1 < γ 2 < γ n is a sequence of imaginary parts of non-trivial zeros of ζ ( s ) . ...