# Two estimates on the distribution of zeros of the first derivative of dirichlet L-functions under the generalized riemann hypothesis

2 被引用数 (Scopus)

## 抄録

The number of zeros and the distribution of the real part of non-real zeros of the derivatives of the Riemann zeta function have been investigated by B. C. Berndt, N. Levinson, H. L. Montgomery, H. Akatsuka, and the author. Berndt, Levinson, and Montgomery investigated the unconditional case, while Akatsuka and the author gave sharper estimates under the truth of the Riemann hypothesis. Recently, F. Ge improved the estimate on the number of zeros shown by Akatsuka. In this paper, we prove similar results related to the first derivative of Dirichlet L-functions associated with primitive Dirichlet characters under the assumption of the generalized Riemann hypothesis.

本文言語 英語 471-502 32 Journal de Theorie des Nombres de Bordeaux 29 2 https://doi.org/10.5802/jtnb.988 出版済み - 2017 はい

• 代数と数論

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