Analytic behavior of some Euler products

Jinho Han, Haseo Ki, Donghoon Park

Research output: Contribution to journalArticlepeer-review


We investigate analytic properties for some Euler products. In particular, we construct an Euler product Πp:prime(1-αpp-s)-1(|αp| = 1 for any prime number p) with natural boundary on Re(s) = 1.

Original languageEnglish
Pages (from-to)539-548
Number of pages10
JournalRocky Mountain Journal of Mathematics
Issue number2
Publication statusPublished - 2021 Apr

Bibliographical note

Publisher Copyright:
© 2021 Rocky Mountain Mathematics Consortium. All rights reserved.

All Science Journal Classification (ASJC) codes

  • General Mathematics


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