Sums of Three Primes

  • Harold Davenport
Part of the Graduate Texts in Mathematics book series (GTM, volume 74)


Hardy and Littlewood1 showed, assuming the generalized Riemann hypothesis, that every sufficiently large odd number is a sum of three primes. In their argument, the hypothesis was required to provide estimates corresponding to our estimates of S(α) in §25. In 1937 Vinogradov2 used his new estimates to treat sums of three primes unconditionally.


Rational Number Prime Power Trigonometric Polynomial Multiplicative Function Diophantine Approximation 
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  1. 1.
    Acta Math., 44, 1–70(1922).Google Scholar
  2. 2.
    Mat. Sb., N.S. 2 (O.S. 44), 179–195 (1937).Google Scholar

Copyright information

© Ann Davenport 1980

Authors and Affiliations

  • Harold Davenport
    • 1
  1. 1.Cambridge UniversityCambridgeEngland

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