English

Discrete Fourier Transform and $L$-functions

Number Theory 2025-03-14 v1

Abstract

We give the converse to Dirichlet's theorem on primes in arithmetic progressions by generalizing an old result of Guinand.

Keywords

Cite

@article{arxiv.2503.09943,
  title  = {Discrete Fourier Transform and $L$-functions},
  author = {D. Liu},
  journal= {arXiv preprint arXiv:2503.09943},
  year   = {2025}
}

Comments

15 pages, 5 figures

R2 v1 2026-06-28T22:18:25.828Z