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A characterization of L-functions in the extended Selberg class

Pei-Chu Hu|Pingyuan Zhang
대한수학회 (The Korean Mathematical Society)|2016.11|대한수학회보 (Bulletin of the KMS)|제53권 제6호|pp. 1645-1650

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참고문헌

키워드

meromorphic functionsvalue distribution$L$-functionsSelberg class
주제분류수학

초록

In this article, we establish a characterization of meromorphic functions and $L$-functions in the extended Selberg class, which shows that how they are uniquely determined by their $c$-values.

Abstract

In this article, we establish a characterization of meromorphic functions and $L$-functions in the extended Selberg class, which shows that how they are uniquely determined by their $c$-values.

참고문헌 (13)

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  3. W. K. Hayman, "Meromorphic Functions" (1964), Oxford University Press
  4. J. Kaczorowski, "On the structure of the Selberg class. I. 0 ≤ d ≤ 1", Acta Math, 182(2), pp.207~241 (1999)
  5. H. Ki, "On uniqueness in the extended Selberg class of Dirichlet series", Proc. Amer. Math. Soc, 141(12), pp.4169~4173 (2010)
  6. B. Q. Li, "A result on value distribution of L-functions", Proc. Amer. Math. Soc, 138(6), pp.2071~2077 (2010)
  7. B. Q. Li, "A uniqueness theorem for Dirichlet series satisfying a Riemann type functional equation", Adv. Math, 226(5), pp.4198~4211 (2011)
  8. X. M. Li, "Results on value distribution of L-functions", Math. Nachr, 286(13), pp.1326~1336 (2013)
  9. A. Selberg, "Old and new conjectures and results about a class of Dirichlet series", Proceedings of the Amalfi Conference on Analytic Number Theory, pp.367~385 (1992)
  10. J. Steuding, "Value-distribution of L-functions" (2007), Spinger
  11. A. D. Wu, "Uniqueness theorems for Dirichlet series", Bull. Aus. Math. Soc, 91, pp.389~399 (2015)
  12. C. C. Yang, "Uniqueness Theory of Meromorphic Functions" (2003), Kluwer Aca-demic Publishers
  13. P. C. Hu, "A simple proof and strengthening of a uniqueness theorem for L-functions", Canad. Math. Bull, 59(1), pp.119~122 (2016)

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