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A result on value distribution of L-functions
Author(s):
Bao
Qin
Li
Journal:
Proc. Amer. Math. Soc.
138
(2010),
2071-2077.
MSC (2010):
Primary 30D30, 30D35, 11M06, 11M36
Posted:
December 9, 2009
MathSciNet review:
2596044
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Additional information
Abstract:
We will establish a theorem on value distribution of L-functions in the Selberg class, which shows how an L-function and a meromorphic function are uniquely determined by their  -values and which, as a consequence, proves a result on the unicity of the Riemann zeta function.
References:
-
- [BG]
- C.A. Berenstein and R. Gay, Complex variables, Springer-Verlag, New York, 1991. MR 1107514 (92f:30001)
- [BP]
- E. Bombieri and A. Perelli, Distinct zeros of
 -functions, Acta Arith. 83 (1998), 271-281. MR 1611193 (99a:11102) - [H]
- W. K. Hayman, Meromorphic functions, The Clarendon Press, Oxford Univ. Press, Oxford, 1964. MR 0164038 (29:1337)
- [LY]
- L. Liao and C.-C. Yang, On some new properties of the gamma function and the Riemann zeta function, Math. Nachr. 257 (2003), 59-66. MR 1992811 (2004g:33005)
- [Se]
- A. Selberg, Old and new conjectures and results about a class of Dirichlet series, Proceedings of the Amalfi Conference on Analytic Number Theory (Maiori, 1989), E. Bombieri et al. (eds.), Collected papers, Vol. II, Springer-Verlag, 1991, pp. 47-63. MR 1220477 (94f:11085)
- [St]
- J. Steuding, Value-distribution of L-functions, Lecture Notes in Mathematics, 1877, Springer-Verlag, Berlin, 2007. MR 2330696 (2008m:11172)
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Additional Information:
Bao
Qin
Li
Affiliation:
Department of Mathematics, Florida International University, Miami, Florida 33199
Email:
libaoqin@fiu.edu
DOI:
10.1090/S0002-9939-09-10222-8
PII:
S 0002-9939(09)10222-8
Received by editor(s):
June 13, 2009,
Received by editor(s) in revised form:
September 20, 2009
Posted:
December 9, 2009
Communicated by:
Mei-Chi Shaw
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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