Electronic Research Announcements

Author(s): J.-M. Deshouillers; G. Effinger; H. te Riele; D. Zinoviev
Journal: Electron. Res. Announc. Amer. Math. Soc. 3 (1997), 99-104.
MSC (1991): Primary 11P32
Posted: September 17, 1997
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Abstract: We outline a proof that if the Generalized Riemann Hypothesis holds, then every odd number above $5$

is a sum of three prime numbers. The proof involves an asymptotic theorem covering all but a finite number of cases, an intermediate lemma, and an extensive computation.

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J.-M. Deshouillers
Affiliation: Mathematiques Stochastiques, UMR 9936 CNRS-U.Bordeaux 1, U.Victor Segalen Bordeaux 2, F33076 Bordeaux Cedex, France
Email: dezou@u-bordeaux2.fr

G. Effinger
Affiliation: Department of Mathematics and Computer Science, Skidmore College, Saratoga Springs, NY 12866
Email: effinger@skidmore.edu

H. te Riele
Affiliation: Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands
Email: herman.te.riele@cwi.nl

D. Zinoviev
Affiliation: Memotec Communications, Inc., 600 Rue McCaffrey, Montreal, QC, H4T1N1, Canada
Email: zinovid@memotec.com

DOI: 10.1090/S1079-6762-97-00031-0
PII: S 1079-6762(97)00031-0
Keywords: Goldbach, Vinogradov, 3-primes problem, Riemann hypothesis
Received by editor(s): February 26, 1997
Posted: September 17, 1997
Communicated by: Hugh Montgomery
Copyright of article: Copyright 1997, American Mathematical Society

Richard K. Guy, Nothing's New in Number Theory?,The American Mathematical Monthly Vol 105, Number 10(1998), 951-954.

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