English

Fujii's development on Chebyshev's conjecture

Number Theory 2018-02-02 v1

Abstract

Chebyshev presented a conjecture after observing the apparent bias towards primes congruent to 3(mod4)3\pmod 4. His conjecture is equivalent to a version of the Generalised Riemann Hypothesis. Fujii strengthened this conjecture; we strengthen it still further using detailed computations of zeroes of Dirichlet LL-functions.

Keywords

Cite

@article{arxiv.1802.00089,
  title  = {Fujii's development on Chebyshev's conjecture},
  author = {Dave Platt and Tim Trudgian},
  journal= {arXiv preprint arXiv:1802.00089},
  year   = {2018}
}
R2 v1 2026-06-23T00:06:54.743Z