Fujii's development on Chebyshev's conjecture

David J Platt, Timothy Trudgian

Research output: Contribution to journalArticle (Academic Journal)peer-review

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

Original languageEnglish
Pages (from-to)639-644
Number of pages6
JournalInternational Journal of Number Theory
Issue number3
Early online date16 Nov 2018
Publication statusPublished - 1 Apr 2019


  • Chebyshev bias
  • Dirichlet L-functions
  • Generalized Riemann Hypothesis


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