Abstract
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 language | English |
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Pages (from-to) | 539-548 |
Number of pages | 10 |
Journal | Rocky Mountain Journal of Mathematics |
Volume | 51 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2021 Apr |
Bibliographical note
Funding Information:This work was supported by a National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIP) (No. 2017R1A2B2002702). 2010 AMS Mathematics subject classification: primary 11M41; secondary 11M26. Keywords and phrases: Euler products, natural boundaries. Received by the editors on July 1, 2019, and in revised form on September 28, 2020.
Publisher Copyright:
© 2021 Rocky Mountain Mathematics Consortium. All rights reserved.
All Science Journal Classification (ASJC) codes
- Mathematics(all)