A uniqueness theorem for functions in the extended Selberg class

DOI10.1007/s00209-014-1343-1zbMath1306.11069OpenAlexW2095767536MaRDI QIDQ484360

Haseo Ki, Jaeho Haan, Steven M. Gonek

Publication date: 7 January 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-014-1343-1

zbMATH Keywords

zeros of L-functionsextended Selberg class

Mathematics Subject Classification ID

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) Analytic continuation of functions of one complex variable (30B40)

Related Items (10)

A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond ⋮ On a result of Bao-Qin Li concerning Dirichlet series and shared values ⋮ On the number of zeros and poles of Dirichlet series ⋮ Distinguishing \(L\)-functions by joint universality ⋮ Value distribution for the derivatives of the logarithm of \(L\)-functions from the Selberg class in the half-plane of absolute convergence ⋮ Some uniqueness results related to \(L\)-functions ⋮ On value distribution of a class of entire functions ⋮ A remark on uniqueness of $L$-functions in the extended Selberg class ⋮ Joint value-distribution of Dirichlet series associated with periodic arithmetical functions ⋮ On uniqueness in the extended Selberg class of Dirichlet series

Cites Work

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• 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
• On the structure of the Selberg class. I: \(0\leq d\leq 1\).

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