Unconditional Chebyshev biases in number fields

Daniel Fiorilli, Florent Jouve

Type: Article

Publication Date: 2022-03-30

Citations: 3

DOI: https://doi.org/10.5802/jep.192

Abstract

Chebyshev’s bias is the phenomenon according to which for most x, the interval [2,x] contains more primes congruent to 3 modulo 4 than primes congruent to 1 modulo 4. We present new families of examples of analogous phenomena when counting prime ideals in number fields of higher degree where the bias takes place for all large enough x. Our proofs are unconditional.

Locations

Journal de l’École polytechnique — Mathématiques - View - PDF
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
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