Chebyshev’s bias in function fields

DOI10.1112/S0010437X08003631zbMath1233.11099arXiv1008.4711OpenAlexW2964197639WikidataQ108368775 ScholiaQ108368775MaRDI QIDQ3548626

Byungchul Cha

Publication date: 16 December 2008

Published in: Compositio Mathematica, Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4711

zbMATH Keywords

Möbius functionfunction fieldsChebyshev's biasrandom matrix theoryequidistribution theoremprime number race

Mathematics Subject Classification ID

Distribution of integers in special residue classes (11N69) Distribution of primes (11N05) Arithmetic theory of polynomial rings over finite fields (11T55) Rate of growth of arithmetic functions (11N56) Relations with random matrices (11M50)

Related Items (11)

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 ⋮ Roots of \(L\)-functions of characters over function fields, generic linear independence and biases ⋮ Sums of two squares are strongly biased towards quadratic residues ⋮ Limiting Properties of the Distribution of Primes in an Arbitrarily Large Number of Residue Classes ⋮ Chebyshev's bias for products of irreducible polynomials ⋮ Biases in the prime number race of function fields ⋮ Chebyshev's bias in Galois extensions of global function fields ⋮ Chebyshev's bias in dihedral and generalized quaternion Galois groups ⋮ Chebyshev's bias against splitting and principal primes in global fields

This page was built for publication: Chebyshev’s bias in function fields