A uniqueness theorem for functions in the extended Selberg class

Steven M. Gonek, Jaeho Haan, Haseo Ki

Research output: Contribution to journalArticlepeer-review

7 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 languageEnglish
Pages (from-to)995-1004
Number of pages10
JournalMathematische Zeitschrift
Volume278
Issue number3-4
DOIs
Publication statusPublished - 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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