Prime number races for elliptic curves over function fields

DOI10.24033/asens.2308zbMath1367.11085arXiv1502.05295OpenAlexW2962848945WikidataQ108368780 ScholiaQ108368780MaRDI QIDQ2958454

Florent Jouve, Byungchul Cha, Daniel Fiorilli

Publication date: 2 February 2017

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05295

zbMATH Keywords

function fieldelliptic curveprime number race

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Other Dirichlet series and zeta functions (11M41) Primes in congruence classes (11N13) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (9)

Explicit Kronecker-Weyl theorems and applications to prime number races ⋮ A new aspect of Chebyshev’s bias for elliptic curves over function fields ⋮ 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 ⋮ Low-lying zeros in families of elliptic curve \(L\)-functions over function fields

Uses Software

• ELLFF

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