On uniqueness in the extended Selberg class of Dirichlet series

DOI10.1090/S0002-9939-2013-11749-1zbMath1286.11136MaRDI QIDQ2855894

Haseo Ki, Bao Qin Li

Publication date: 23 October 2013

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

zbMATH Keywords

functional equationL-functionSelberg classNevanlina's uniqueness theorem

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (6)

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 ⋮ On the number of zeros and poles of Dirichlet series ⋮ A study on algebraic differential equations of gamma function and Dirichlet series ⋮ On algebraic differential equations of gamma function and Riemann zeta function ⋮ A remark on uniqueness of $L$-functions in the extended Selberg class

Cites Work

• Unnamed Item
• Unnamed Item
• A uniqueness theorem for functions in the extended Selberg class
• A uniqueness theorem for Dirichlet series satisfying a Riemann type functional equation
• Value distribution of \(L\)-functions
• The Nevanlinna functions of the Riemann zeta-function
• On the structure of the Selberg class. I: \(0\leq d\leq 1\).
• On common zeros of \(L\)-functions
• Distinct zeros of L-functions

This page was built for publication: On uniqueness in the extended Selberg class of Dirichlet series