On explicit estimates for S(t), S1(t), and ζ(1/2+it) under the Riemann Hypothesis-Reference-Cited by-同舟云学术

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On explicit estimates for S(t), S1(t), and ζ(1/2+it) under the Riemann Hypothesis

Published:2022-02 Issue: Volume:231 Page:464-491
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Simonič Aleksander^ORCID

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference30 articles.

1. Decoupling, exponential sums and the Riemann zeta function;Bourgain;J. Am. Math. Soc.,2017

2. Accurate estimation of sums over zeros of the Riemann zeta-function;Brent;Math. Comput.,2021

3. Bounding S(t) and S1(t) on the Riemann hypothesis;Carneiro;Math. Ann.,2013

4. Bandlimited approximations and estimates for the Riemann zeta-function;Carneiro;Publ. Mat.,2019

Cited by 9 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. An improved explicit estimate for ζ(1/2 + it);Journal of Number Theory;2024-03

2. Conditional estimates for the logarithmic derivative of Dirichlet L-functions;Indagationes Mathematicae;2024-01

3. NEW EFFECTIVE RESULTS IN THE THEORY OF THE RIEMANN ZETA-FUNCTION;Bulletin of the Australian Mathematical Society;2023-12-12

4. AN EXPLICIT MEAN-VALUE ESTIMATE FOR THE PRIME NUMBER THEOREM IN INTERVALS;Journal of the Australian Mathematical Society;2023-09-19

5. Estimates for L-functions in the Critical Strip Under GRH with Effective Applications;Mediterranean Journal of Mathematics;2023-01-29

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