# An ergodic value distribution of certain meromorphic functions

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 125-138 14 Journal of Mathematical Analysis and Applications 445 1 https://doi.org/10.1016/j.jmaa.2016.07.064 出版済み - 1月 1 2017 はい

• 分析
• 応用数学

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