English

Orthogonality of non-pretentious functions to polynomials over Function Fields

Number Theory 2025-09-17 v1 Combinatorics

Abstract

We prove that non-pretentious multiplicative functions are orthogonal to polynomials over \mFq[x]\mF_q[x] (up to characteristic conditions).

Keywords

Cite

@article{arxiv.2509.12755,
  title  = {Orthogonality of non-pretentious functions to polynomials over Function Fields},
  author = {Tal Meilin},
  journal= {arXiv preprint arXiv:2509.12755},
  year   = {2025}
}

Comments

22 pages

R2 v1 2026-07-01T05:38:33.421Z