English

An application of Titchmarsh's theorem and the Salem equivalence

Number Theory 2025-09-03 v2

Abstract

We extend the equivalence of the Salem type for the Riemann hypothesis by application of Titchmarsh's theorem. Other equivalences to the Riemann hypothesis and notes on related Fourier integrals are provided.

Keywords

Cite

@article{arxiv.2508.21789,
  title  = {An application of Titchmarsh's theorem and the Salem equivalence},
  author = {Alexander E. Patkowski},
  journal= {arXiv preprint arXiv:2508.21789},
  year   = {2025}
}