2020年10月1日
The density function for the value-distribution of the Lerch zeta-function and its applications
Michigan Mathematical Journal
- 巻
- 69
- 号
- 4
- 開始ページ
- 849
- 終了ページ
- 889
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1307/mmj/1586570481
- 出版者・発行元
- Michigan Mathematical Journal
The probabilistic study of the value-distributions of zeta-functions is one of the modern topics in analytic number theory. In this paper, we study a certain probability measure related to the value-distribution of the Lerch zeta-function. We prove that it has a density function, and we can explicitly construct it. Moreover, we prove an asymptotic formula for the number of zeros of the Lerch zeta-function on the right side of the critical line, whose main term is associated with the density function.
- ID情報
-
- DOI : 10.1307/mmj/1586570481
- ISSN : 0026-2285