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

  Published:2015-06-22
 Printed: Mar 2016
  • Pei-Chu Hu,
    Department of Mathematics, Shandong University, Jinan 250100, Shandong, P. R. China
  • Bao Qin Li,
    Department of Mathematics and Statistics, Florida International University, Miami, FL 33199 USA
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Abstract

We give a simple proof and strengthening of a uniqueness theorem for functions in the extended Selberg class.
Keywords: meromorphic function, Dirichlet series, L-function, zero, order, uniqueness meromorphic function, Dirichlet series, L-function, zero, order, uniqueness
MSC Classifications: 30B50, 11M41 show english descriptions Dirichlet series and other series expansions, exponential series [See also 11M41, 42-XX]
Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72}
30B50 - Dirichlet series and other series expansions, exponential series [See also 11M41, 42-XX]
11M41 - Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72}
 

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