English

Explicit bounds for the Riemann zeta-function on the 1-line

Number Theory 2024-08-15 v3

Abstract

Explicit estimates for the Riemann zeta-function on the 11-line are derived using various methods, in particular van der Corput lemmas of high order and a theorem of Borel and Carath\'{e}odory.

Keywords

Cite

@article{arxiv.2306.13289,
  title  = {Explicit bounds for the Riemann zeta-function on the 1-line},
  author = {Ghaith A. Hiary and Nicol Leong and Andrew Yang},
  journal= {arXiv preprint arXiv:2306.13289},
  year   = {2024}
}

Comments

31 pages

R2 v1 2026-06-28T11:12:30.318Z