A conditional explicit result for the prime number theorem in short intervals

被引：0

作者：

Michaela Cully-Hugill

Adrian W. Dudek

机构：

[1] UNSW Canberra,School of Science

[2] Mothar Mountain,undefined

来源：

Research in Number Theory | 2022年 / 8卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper gives an explicit bound for the prime number theorem in short intervals under the assumption of the Riemann hypothesis.

引用

共 50 条

[1] A conditional explicit result for the prime number theorem in short intervals
Cully-Hugill, Michaela
Dudek, Adrian W.
RESEARCH IN NUMBER THEORY, 2022, 8 (03)
[2] SHORT INTERVALS RESULT IN ADDITIVE PRIME NUMBER THEORY
ROSS, PM
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1978, 17 (APR): : 219 - 227
[3] AN EXPLICIT MEAN-VALUE ESTIMATE FOR THE PRIME NUMBER THEOREM IN INTERVALS
Cully-Hugill, Michaela
Dudek, Adrian W.
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2024, 117 (01) : 1 - 15
[4] A prime number theorem in short intervals for dihedral Maass newforms
Guan, Bin
AIMS MATHEMATICS, 2024, 9 (02): : 4896 - 4906
[5] The prime number theorem in short intervals for automorphic L-functions
Qu, Y.
Wu, J.
ACTA ARITHMETICA, 2012, 154 (01) : 45 - 59
[6] Number of prime ideals in short intervals
Alkan, Emre
Mehreliyev, Tevekkul
JOURNAL OF NUMBER THEORY, 2016, 167 : 430 - 480
[7] A conditional result on Goldbach numbers in short intervals
Languasco, A
ACTA ARITHMETICA, 1998, 83 (02) : 93 - 103
[8] ON THE NUMBER OF PRIME FACTORS OF INTEGERS IN SHORT INTERVALS
YAMANO, G
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1985, 61 (08) : 278 - 280
[9] Hua's theorem on prime squares in short intervals
Liu, JY
Zhan, T
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2000, 16 (04): : 669 - 690
[10] Hua's Theorem on Prime Squares in Short Intervals
Jianya Liu
Tao Zhan Department of Mathematics. Shandong University. Jinan 250100. P. R. China
Acta Mathematica Sinica,English Series, 2000, (04) : 669 - 690

← 1 2 3 4 5 →