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On uniqueness in the extended Selberg class of Dirichlet series

Authors: Haseo Ki and Bao Qin Li
Journal: Proc. Amer. Math. Soc. 141 (2013), 4169-4173
MSC (2010): Primary 11M36, 30D30
Published electronically: August 21, 2013
MathSciNet review: 3105859
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Abstract: We will show that two functions in the extended Selberg class satisfying the same functional equation must be identically equal if they have sufficiently many common zeros.

References [Enhancements On Off] (What's this?)

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Additional Information

Haseo Ki
Affiliation: Department of Mathematics, Yonsei University, Seoul 120–749, Republic of Korea

Bao Qin Li
Affiliation: Department of Mathematics, Florida International University, Miami, Florida 33199

Keywords: $L$-function, Dirichlet series, Selberg class, uniqueness
Received by editor(s): October 5, 2011
Received by editor(s) in revised form: February 12, 2012
Published electronically: August 21, 2013
Additional Notes: The first named author was supported by the Mid-career Researcher Program through an NRF grant funded by the MEST 2010-0008706
Communicated by: Mario Bonk
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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