Chebyshev's bias in Galois extensions of global function fields

DOI10.1016/J.JNT.2011.03.011zbMath1254.11085OpenAlexW2013426684WikidataQ108368774 ScholiaQ108368774MaRDI QIDQ555288

Bo-Hae Im, Byungchul Cha

Publication date: 22 July 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.03.011

zbMATH Keywords

Artin L-functionsChebyshev biasGalois extensions of global function fields

Mathematics Subject Classification ID

Distribution of prime ideals (11R44) Distribution of primes (11N05) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (6)

Explicit Kronecker-Weyl theorems and applications to prime number races ⋮ Inequities in the Shanks–Renyi prime number race over function fields ⋮ Exceptional biases in counting primes over function fields ⋮ Limiting Properties of the Distribution of Primes in an Arbitrarily Large Number of Residue Classes ⋮ Chebyshev's bias for products of irreducible polynomials ⋮ Chebyshev's bias in dihedral and generalized quaternion Galois groups

Uses Software

• Magma

Cites Work

• Biases in the prime number race of function fields
• The Magma algebra system. I: The user language
• Biases in the Shanks—Rényi Prime Number Race
• The Large Sieve, Monodromy, and Zeta Functions of Algebraic Curves, 2: Independence of the Zeros
• Chebyshev’s bias in function fields
• Chebyshev's Bias
• Prime Number Races
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