A uniqueness theorem for functions in the extended Selberg class

Steven M. Gonek; Jaeho Haan; Haseo Ki

doi:10.1007/s00209-014-1343-1

A uniqueness theorem for functions in the extended Selberg class

Steven M. Gonek, Jaeho Haan, Haseo Ki

Department of Mathematics

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

9 Citations (Scopus)

Abstract

We study the uniqueness of functions in the extended Selberg class. It was shown in Ki (Adv Math 231, 2484–2490, 2012) that if for a nonzero complex number the inverse images L1-1 and L2-1(c)of two functions satisfying the same functional equation in the extended Selberg class are the same, then L1(s) and L 2(s) are identical. Here we prove that this holds even without the assumption that they satisfy the same functional equation.

Original language	English
Pages (from-to)	995-1004
Number of pages	10
Journal	Mathematische Zeitschrift
Volume	278
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-014-1343-1
Publication status	Published - 2014 Nov 12

Bibliographical note

Funding Information:
The third named author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and future Planning (2014R1A2A2A01002549).

Funding Information:
Research of the first author was partially supported by NSF Grant DMS-1200582.

Publisher Copyright:
© 2014, Springer-Verlag Berlin Heidelberg.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/s00209-014-1343-1

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AU - Haan, Jaeho

AU - Ki, Haseo

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A uniqueness theorem for functions in the extended Selberg class

Abstract

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