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UNIQUENESS THEOREMS FOR DIRICHLET SERIES

Part of: Entire and meromorphic functions, and related topics Zeta and $L$-functions: analytic theory

Published online by Cambridge University Press:  12 February 2015

AI-DI WU  and
PEI-CHU HU
AI-DI WU
Affiliation:
Department of Mathematics, Shandong University, Jinan 250100, Shandong Province, PR China email [email protected]
PEI-CHU HU*
Affiliation:
Department of Mathematics, Shandong University, Jinan 250100, Shandong Province, PR China email [email protected]
*
✉[email protected]
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Abstract

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We obtain uniqueness theorems for L-functions in the extended Selberg class when the functions share values in a finite set and share values weighted by multiplicities.

Keywords

L-functionsharing setweighted sharinguniqueness

MSC classification

Primary: 11M36: Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas
Secondary: 30D35: Distribution of values, Nevanlinna theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 91 , Issue 3 , June 2015 , pp. 389 - 399
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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