An ergodic value distribution of certain meromorphic functions

Junghun Lee, Ade Irma Suriajaya

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

We calculate a certain mean-value of meromorphic functions by using specific ergodic transformations, which we call affine Boolean transformations. We use Birkhoff's ergodic theorem to transform the mean-value into a computable integral which allows us to completely determine the mean-value of this ergodic type. As examples, we introduce some applications to zeta functions and L-functions. We also prove an equivalence of the Lindelöf hypothesis of the Riemann zeta function in terms of its certain ergodic value distribution associated with affine Boolean transformations.

本文言語英語
ページ(範囲)125-138
ページ数14
ジャーナルJournal of Mathematical Analysis and Applications
445
1
DOI
出版ステータス出版済み - 1 1 2017
外部発表はい

All Science Journal Classification (ASJC) codes

  • 分析
  • 応用数学

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