A remark on the uniqueness of the Dirichlet series with a Riemann-type function equation

Haseo Ki

doi:10.1016/j.aim.2012.07.027

A remark on the uniqueness of the Dirichlet series with a Riemann-type function equation

Haseo Ki

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We show that if for a nonzero complex number c the inverse images L1-1(c) and L2-1(c) of two functions in the extended Selberg class are the same, then L ₁(s) and L ₂(s) must be identical.

Original language	English
Pages (from-to)	2484-2490
Number of pages	7
Journal	Advances in Mathematics
Volume	231
Issue number	5
DOIs	https://doi.org/10.1016/j.aim.2012.07.027
Publication status	Published - 2012

Bibliographical note

Funding Information:
The author thanks the referee for valuable comments and suggestions. The author was supported by the Mid-Career Researcher Program through an NRF grant funded by MEST 2010-0008706 .

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1016/j.aim.2012.07.027

Cite this

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title = "A remark on the uniqueness of the Dirichlet series with a Riemann-type function equation",

abstract = "We show that if for a nonzero complex number c the inverse images L1-1(c) and L2-1(c) of two functions in the extended Selberg class are the same, then L 1(s) and L 2(s) must be identical.",

author = "Haseo Ki",

note = "Funding Information: The author thanks the referee for valuable comments and suggestions. The author was supported by the Mid-Career Researcher Program through an NRF grant funded by MEST 2010-0008706 .",

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AB - We show that if for a nonzero complex number c the inverse images L1-1(c) and L2-1(c) of two functions in the extended Selberg class are the same, then L 1(s) and L 2(s) must be identical.

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A remark on the uniqueness of the Dirichlet series with a Riemann-type function equation

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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