A remark on uniqueness of $L$-functions in the extended Selberg class

DOI10.4064/cm8209-6-2020zbMath1469.30070OpenAlexW3113831185MaRDI QIDQ4997554

Feng Lü, Weiran Lü

Publication date: 29 June 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8209-6-2020

zbMATH Keywords

uniqueness\(L\)-functionDirichlet seriesextended Selberg class

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Cites Work

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• A uniqueness theorem for functions in the extended Selberg class
• A uniqueness theorem for Dirichlet series satisfying a Riemann type functional equation
• A remark on the uniqueness of the Dirichlet series with a Riemann-type function equation
• Value distribution of \(L\)-functions
• A survey of the Selberg class of \(L\)-functions. I
• On the structure of the Selberg class. I: \(0\leq d\leq 1\).
• On the algebraic independence in the Selberg class
• On common zeros of \(L\)-functions
• A Simple Proof and Strengthening of a Uniqueness Theorem for L-functions
• On uniqueness in the extended Selberg class of Dirichlet series
• Axiomatic Theory of L-Functions: the Selberg Class
• Distinct zeros of L-functions
• On the structure of the Selberg class, II: invariants and conjectures

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