On the number of zeros and poles of Dirichlet series

DOI10.1090/tran/7084zbMath1395.30003arXiv1602.08458OpenAlexW2963377276MaRDI QIDQ4608760

Bao Qin Li

Publication date: 28 March 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08458

zbMATH Keywords

meromorphic functioncounting functionL-functiongeneral Dirichlet serieszeropole

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (4)

On the uniqueness of entire functions having Dirichlet series representations ⋮ A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond ⋮ Uniqueness of Dirichlet series in the light of shared set and values ⋮ Value distributions of \(\zeta\) and \(\Gamma \), plus some related problems

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