Double Dirichlet series associated with arithmetic functions

DOI10.2996/kmj/kmj44303zbMath1495.11107arXiv1801.04444OpenAlexW3208369775MaRDI QIDQ2059563

Akihiko Nawashiro, Hirofumi Tsumura, Kohji Matsumoto

Publication date: 14 December 2021

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

Full work available at URL: https://arxiv.org/abs/1801.04444

zbMATH Keywords

Riemann zeta functionMöbius functionmultiple Dirichlet seriesvon Mangoldt function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items

Double Dirichlet series associated with arithmetic functions. II, Absolute convergence of general multiple Dirichlet series

Cites Work

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• Meromorphic continuation of the Goldbach generating function
• The analytic continuation and the order estimate of multiple Dirichlet series.
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• On Negative Moments of the Riemann Zeta‐Function
• Dirichlet series associated with polynomials
• GOLDBACH REPRESENTATIONS IN ARITHMETIC PROGRESSIONS AND ZEROS OF DIRICHLET L ‐FUNCTIONS
• CONVOLUTIONS OF THE VON MANGOLDT FUNCTION AND RELATED DIRICHLET SERIES
• Functional equations for double series of Euler type with coefficients
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