Chebyshev’s bias for Ramanujan’s $\tau$-function via the Deep Riemann Hypothesis

Author:

Koyama Shin-ya,Kurokawa Nobushige

Publisher

Project Euclid

Subject

General Mathematics

Reference13 articles.

1. H. Akatsuka, The Euler product for the Riemann zeta-function in the critical strip, Kodai. Math. J. 40 (2017), 79–101.

2. M. Aoki and S. Koyama, Chebyshev’s bias against splitting and principal primes in global fields. (Preprint).

3. D. Goldfeld, Sur les produits partiels eulériens attachés aux courbes elliptiques, C. R. Acad. Sci. Paris Sér. I Math. 294 (1982), no. 14, 471–474.

4. J. Kaczorowski, On the distribution of primes (mod 4), Analysis 15 (1995), no. 2, 159–171.

5. I. Kaneko, S. Koyama and N. Kurokawa, Towards the Deep Riemann Hypothesis for GL$_{n}$. (Preprint).

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. Chebyshev’s bias for Fermat curves of prime degree;The Ramanujan Journal;2024-08-02

2. A new aspect of Chebyshev’s bias for elliptic curves over function fields;Proceedings of the American Mathematical Society;2023-09-26

3. Chebyshev's bias against splitting and principal primes in global fields;Journal of Number Theory;2023-04

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