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Fujii's development on Chebyshev's conjecture

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)639-644
Number of pages6
JournalInternational Journal of Number Theory
Issue number3
Early online date16 Nov 2018
DateSubmitted - 31 Jan 2018
DateAccepted/In press - 8 Oct 2018
DateE-pub ahead of print - 16 Nov 2018
DatePublished (current) - 1 Apr 2019


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.

    Research areas

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

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