Fujii's development on Chebyshev's conjecture

David J Platt; Timothy Trudgian

doi:10.1142/S1793042119500337

Fujii's development on Chebyshev's conjecture

David J Platt, Timothy Trudgian

Research output: Contribution to journal › Article (Academic Journal)

1 Citation (Scopus)

133 Downloads (Pure)

Abstract

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 language	English
Pages (from-to)	639-644
Number of pages	6
Journal	International Journal of Number Theory
Volume	15
Issue number	3
Early online date	16 Nov 2018
DOIs	https://doi.org/10.1142/S1793042119500337
Publication status	Published - 1 Apr 2019

Keywords

Chebyshev bias
Dirichlet L-functions
Generalized Riemann Hypothesis

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10.1142/S1793042119500337

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This is the accepted author manuscript (AAM). The final published version (version of record) is available online via World Scientific at https://doi.org/10.1142/S1793042119500337 . Please refer to any applicable terms of use of the publisher.
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https://arxiv.org/abs/1802.00089Licence: Unspecified
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abstract = "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.",

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