Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function-Reference-Cited by-同舟云学术

Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function

Published:2010-08-05 Issue:9 Volume:53 Page:2561-2572
ISSN:1674-7283
Container-title:Science China Mathematics
language:en
Short-container-title:Sci. China Math.

Author:

Tsang Kai-Man

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11425-010-4068-6.pdf

Reference39 articles.

1. Atkinson F V. The mean value of the Riemann zeta function. Acta Math, 1949, 81:353–376

2. Balasubramanian R. An improvement on a theorem of Titchmarsh on the mean square of |ζ(½ + it)|. Proc London Math Soc, 1978, 36:540–576

3. Corrádi K, Kátai I. A comment on K. S. Gangadharan’s paper entitled ‘Two classical lattice point problems’. Magyar Tud Akad Mat Fiz Oszt Kozl, 1967, 17:89–97

4. Cramér H. Über zwei Sätze von Herrn G. H. H. Hardy. Math Zeit, 1922, 15:200–2

5. Hafner J L. New omega theorems for two classical lattice point problems. Invent Math, 1981, 63:181–186

Cited by 20 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. Voronoi's formulae and the Gauss problem;Russian Mathematical Surveys;2024

2. Формулы Вороного и задача Гаусса;Успехи математических наук;2024

3. Voronoï bound for a generalized divisor function;Proceedings - Mathematical Sciences;2023-10-24

4. On the average number of subgroups of the group $${\mathbb {Z}}_m \times {\mathbb {Z}}_n$$ with k-th power sequence;The Ramanujan Journal;2022-01-06

5. On Jutila's integral in the circle problem;Izvestiya: Mathematics;2022