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A Simple Proof and Strengthening of a Uniqueness Theorem for L-functions

  • Pei-Chu Hu (a1) and Bao Qin Li (a2)

Abstract

We give a simple proof and strengthening of a uniqueness theorem for functions in the extended Selberg class.

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[1] Cardwell, M. and Ye, Z.. A uniqueness theorem ofL-functions with rational moving targets. J. Math Anal. 5(2014), no. 1, 1619.
[2] Ki, H., A remark on the uniqueness of the Dirichlet series with a Riemann-type function equation. Adv. Math. 231(2012), no. 5, 24842490. http://dx.doi.Org/10.1016/j.aim.2012.07.027
[3] Li, B. Q., A uniqueness theorem for Dirichlet series satisfying a Riemann type functional equation. Adv. Math. 226(2011), no. 5, 41984211. http://dx.doi.Org/1 0.101 6/j.aim.2O10.12.001
[4] Nevanlinna, R., Analytic functions. Die Grundlehren der mathematischen Wissenschaften, 162, Springer-Verlag, 1970.
[5] Selberg, A., Old and new conjectures and results about a class of Dirichlet series. In: Proceedings of the Amalfi Conference on Analytic Number Theory (Maiori, 1989), Univ. Salerno, Salerno, 1992, pp. 367385.
[6] Steuding, J., Value distribution of L-functions. Lecture Notes in Mathematics, 1877, Springer, Berlin, 2007.
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