Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Acta Math., 44, 1–70(1922).
Mat. Sb., N.S. 2 (O.S. 44), 179–195 (1937).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1980 Ann Davenport
About this chapter
Cite this chapter
Davenport, H. (1980). Sums of Three Primes. In: Multiplicative Number Theory. Graduate Texts in Mathematics, vol 74. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5927-3_26
Download citation
DOI: https://doi.org/10.1007/978-1-4757-5927-3_26
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-5929-7
Online ISBN: 978-1-4757-5927-3
eBook Packages: Springer Book Archive