Chebyshev's bias against splitting and principal primes in global fields

Miho Aoki, Shin-ya Koyama

Type: Article

Publication Date: 2022-11-23

Citations: 5

DOI: https://doi.org/10.1016/j.jnt.2022.10.005

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Journal of Number Theory - View
arXiv (Cornell University) - View - PDF

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+ PDF Chat	Chebyshev's bias against splitting and principal primes in global fields	2022	Miho Aoki Shin-ya Koyama
+	A New Aspect of Chebyshev's Bias for Elliptic Curves over Function Fields	2022	Ikuya Kaneko Shin-ya Koyama
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+	A new aspect of Chebyshev’s bias for elliptic curves over function fields	2023	Ikuya Kaneko Shin-ya Koyama
+	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 (20)

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+	Artin-root numbers and normal integral bases for quaternion fields	1972	A. Fröhlich
+ PDF Chat	Explicit class field theory for rational function fields	1974	David R. Hayes
+ PDF Chat	Partial Euler Products on the Critical Line	2005	Keith Conrad
+ PDF Chat	Euler products beyond the boundary for Selberg zeta functions	2014	Shin-ya Koyama Fumika Suzuki
+ PDF Chat	Chebyshev’s bias in function fields	2008	Byungchul Cha
+	Chebyshev's Bias	1994	Michael Rubinstein Peter Sarnak
+	Comparative prime-number theory. I	1962	Stanisław Knapowski P. Túrán
+	Number Theory in Function Fields	2002	Michael Rosen
+	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