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A complete Vinogradov 3-primes theorem under the Riemann
hypothesis
J.-M. Deshouillers, G. Effinger, H. te Riele and
D. Zinoviev
Abstract.
We outline a proof that if the Generalized Riemann Hypothesis holds,
then every odd number above
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.
Copyright 1997 American Mathematical Society
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Article Info
- ERA Amer. Math. Soc. 03 (1997), pp. 99-104
- Publisher Identifier: S 1079-6762(97)00031-0
- 1991 Mathematics Subject Classification. Primary 11P32
- Key words and phrases. Goldbach, Vinogradov, 3-primes
problem, Riemann hypothesis
- Received by the editors February 26, 1997
- Posted on September 17, 1997
- Communicated by Hugh Montgomery
- Comments (When Available)
J.-M. Deshouillers
Mathematiques Stochastiques, UMR 9936 CNRS-U.Bordeaux 1,
U.Victor Segalen Bordeaux 2, F33076
Bordeaux Cedex, France
E-mail address: dezou@u-bordeaux2.fr
G. Effinger
Department of Mathematics and Computer Science, Skidmore College,
Saratoga Springs, NY 12866
E-mail address: effinger@skidmore.edu
H. te Riele
Centre for Mathematics and Computer Science, P.O. Box 4079,
1009 AB Amsterdam, The Netherlands
E-mail address: herman.te.riele@cwi.nl
D. Zinoviev
Memotec Communications, Inc., 600 Rue McCaffrey, Montreal,
QC, H4T1N1, Canada
E-mail address: zinovid@memotec.com
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