Analytic properties of Dirichlet generating functions of arithmetic objects

DOI10.1007/BF01140029zbMath0413.10036OpenAlexW1996690139MaRDI QIDQ1260067

S. M. Voronin

Publication date: 1979

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01140029

zbMATH Keywords

Riemann zeta-functionapproximation of functionsDirichlet L-functionsfinite Euler products

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (16)

Joint universality for Dirichlet \(L\)-functions and zeros of their linear combinations in the \(\chi \)-aspect ⋮ Distribution modulo 1 and universality of the Hurwitz zeta-function ⋮ Joint value-distribution of \(L\)-functions and discrepancy of Hecke eigenvalues ⋮ Joint value distribution for zeta functions in disjoint strips ⋮ Joint universality for dependent \(L\)-functions ⋮ The joint universality for pairs of zeta functions in the Selberg class ⋮ New aspects of universality of Hurwitz Zeta-functions ⋮ The joint universality theorem for a pair of Hurwitz zeta functions ⋮ On the zeros on the critical line of \(L\)-functions corresponding to automorphic cusp forms ⋮ Zeros of certain Dirichlet series ⋮ Zeros of linear combinations of Dirichlet series ⋮ Selberg's orthonormality conjecture and joint universality of \(L\)-functions ⋮ Joint universality theorems for pairs of automorphic zeta functions ⋮ СМЕШАННАЯ СОВМЕСТНАЯ ФУНКЦИОНАЛЬНАЯ НЕЗАВИСИМОСТЬ ДЛЯ ДЗЕТА-ФУНКЦИИ РИМАНА И ПЕРИОДИЧЕСКИХ ДЗЕТА-ФУНКЦИИЙ ГУРВИЦА ⋮ Estimates for Weyl sums in the theory of discrete universality ⋮ Zeros of the derivative of the Riemann zeta-function

Cites Work

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• On the zeros of zeta-functions of quadratic forms
• The Zeros of Epstein's Zeta-Functions
• On the zeros of Epstein's zeta function
• On the Zeros of Certain Dirichlet Series

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