The prime number race and zeros of L-functions off the critical line-Reference-Cited by-同舟云学术

The prime number race and zeros of L-functions off the critical line

Published:2002-06-01 Issue:2 Volume:113 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Ford Kevin,Konyagin Sergei

Publisher

Duke University Press

Subject

General Mathematics

Reference17 articles.

1. C. Bays and R. H. Hudson, Details of the first region of integers $x$ with $\pi_3,2(x)< \pi_3,1(x)$, Math. Comp. 32 (1978), 571--576.

2. P. L. Chebyshev, Lettre de M. le professeur Tchébychev à M. Fuss, sur un nouveau théoreme rélatif aux nombres premiers contenus dans la formes $4n+1$ et $4n+3$, Bull. de la Classe phys.-math. de lʼ Acad. Imp. des Sciences St. Petersburg 11 (1853), 208.

3. H. Davenport, Multiplicative Number Theory, 3d ed., Grad. Texts in Math. 74, Springer, New York, 2000.

4. J. Kaczorowski, A contribution to the Shanks-Rényi race problem, Quart. J. Math. Oxford Ser. (2) 449 (1993), 451--458.

5. --. --. --. --., On the Shanks-Rényi race mod $5$, J. Number Theory 50 (1995), 106--118.

Cited by 14 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. Exceptional biases in counting primes over function fields;Journal of the London Mathematical Society;2024-02-21

2. A zero density estimate and fractional imaginary parts of zeros for L-functions;Mathematical Proceedings of the Cambridge Philosophical Society;2022-12-28

3. Races with imaginary parts of zeros of the Riemann zeta function and Dirichlet L-functions;Journal of Mathematical Analysis and Applications;2021-02

4. Inequalities between sums over prime numbers in progressions;Research in Number Theory;2020-09

5. Inclusive prime number races;Transactions of the American Mathematical Society;2020-02-19