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Conditional estimates for error terms related to the distribution of zeros of ζ′(s)

Published:2012-10 Issue:10 Volume:132 Page:2242-2257
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Akatsuka Hirotaka

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference13 articles.

1. The number of zeros for ζ(k)(s);Berndt;J. Lond. Math. Soc. (2),1970

2. Zeros of derivatives of the Riemann zeta-function near the critical line;Conrey,1990

3. Table of Integrals, Series, and Products;Gradshteyn,2000

4. Zeros of the derivatives of the Riemann zeta-function;Levinson;Acta Math.,1974

5. Extreme values of the Riemann zeta function;Montgomery;Comment. Math. Helv.,1977

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Note on the number of zeros of $$\zeta ^{(k)}(s)$$;The Ramanujan Journal;2020-03-17

2. Titchmarsh’s Method for the Approximate Functional Equations for , , and;Canadian Journal of Mathematics;2019-01-09

3. The number of zeros of $L'(s,\chi )$;Acta Arithmetica;2019

4. The Number of Zeros of ζ′(s);International Mathematics Research Notices;2016-05-24

5. On the zeros of the $k$-th derivative of the Riemann zeta function under the Riemann Hypothesis;Functiones et Approximatio Commentarii Mathematici;2015-09-01

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