A new aspect of Chebyshev’s bias for elliptic curves over function fields

Ikuya Kaneko, Shin-ya Koyama

Type: Article

Publication Date: 2023-03-22

Citations: 1

DOI: https://doi.org/10.1090/proc/16461

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Locations

Proceedings of the American Mathematical Society - View
arXiv (Cornell University) - View - PDF

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+	An annotated bibliography for comparative prime number theory	2025	Greg Martin Pu Justin Scarfy Yang Aram Bahrini Prajeet Bajpai Kübra Benli̇ Jenna Downey Yuan Yuan Li Xiaoxuan Liang Amir Parvardi Reginald Simpson

Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	Partial Euler Products on the Critical Line	2005	Keith Conrad
+	Chebyshev's Bias	1994	Michael Rubinstein Peter Sarnak
+	Comparative prime-number theory. I	1962	Stanisław Knapowski P. Túrán
+	Notes on elliptic curves. II.	1965	B. J. Birch H. P. F. Swinnerton-Dyer
+ PDF Chat	LIMITING DISTRIBUTIONS OF THE CLASSICAL ERROR TERMS OF PRIME NUMBER THEORY	2014	Amir Akbary Nathan Ng Majid Shahabi
+	Elliptic curves over function fields	2011	Douglas Ulmer
+ PDF Chat	Prime number races for elliptic curves over function fields	2016	Byungchul Cha Daniel Fiorilli Florent Jouve
+	A Generalization of Mertens' Theorem	1999	Michael Rosen
+ PDF Chat	Chebyshev's bias against splitting and principal primes in global fields	2022	Miho Aoki Shin-ya Koyama
+ PDF Chat	Chebyshev’s bias for Ramanujan’s $\tau$-function via the Deep Riemann Hypothesis	2022	Shin-ya Koyama Nobushige Kurokawa