English

The mixed second moment of prime quadratic Dirichlet $L$-functions over function fields

Number Theory 2024-12-03 v1

Abstract

We compute an asymptotic formula for the mixed second moment of the μ\mu-th and ν\nu-th derivatives of quadratic Dirichlet LL-functions over monic, irreducible polynomials in the function field setting.

Keywords

Cite

@article{arxiv.2412.01462,
  title  = {The mixed second moment of prime quadratic Dirichlet $L$-functions over function fields},
  author = {Christopher G. Best},
  journal= {arXiv preprint arXiv:2412.01462},
  year   = {2024}
}

Comments

12 pages, comments welcome

R2 v1 2026-06-28T20:19:39.825Z