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Explicit short intervals for primes in arithmetic progressions on GRH

Published:2019-04-29 Issue:04 Volume:15 Page:825-862
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Dudek Adrian W.¹,Grenié Loïc²,Molteni Giuseppe³

Affiliation:

1. Mathematical Sciences Institute, The Australian National University, Canberra, ACT 0200, Australia

2. Dipartimento di Ingegneria Gestionale, Dell’informazione e Della Produzione, Università di Bergamo, viale Marconi 5, 24044 Dalmine (BG), Italy

3. Dipartimento di Matematica, Università di Milano, via Saldini 50, 20133 Milano, Italy

Abstract

We prove explicit versions of Cramér’s theorem for primes in arithmetic progressions, on the assumption of the generalized Riemann hypothesis.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042119500441

Reference12 articles.

1. Primes in explicit short intervals on RH

2. Explicit smoothed prime ideals theorems under GRH

3. Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH

4. PRIMES AND PRIME IDEALS IN SHORT INTERVALS

Cited by 3 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. The prime number theorem for primes in arithmetic progressions at large values;The Quarterly Journal of Mathematics;2023-08-10

2. Explicit results for Euler’s factorial series in arithmetic progressions under GRH;Acta Arithmetica;2023

3. Primes in arithmetic progressions and semidefinite programming;Mathematics of Computation;2021-04-02

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