Geodesic
A complete Vinogradov 3-primes theorem under the Riemann hypothesis
Deshouillers, J.-M.1 ; Effinger, G.2 ; te Riele, H.3 ; Zinoviev, D.4
1 Mathematiques Stochastiques, UMR 9936 CNRS-U.Bordeaux 1, U.Victor Segalen Bordeaux 2, F33076 Bordeaux Cedex, France
2 Department of Mathematics and Computer Science, Skidmore College, Saratoga Springs, NY 12866
3 Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands
4 Memotec Communications, Inc., 600 Rue McCaffrey, Montreal, QC, H4T1N1, Canada
Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 99-104 Cet article a éte moissonné depuis la source American Mathematical Society

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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.
DOI : 10.1090/S1079-6762-97-00031-0

Deshouillers, J.-M. 1 ; Effinger, G. 2 ; te Riele, H. 3 ; Zinoviev, D. 4

1 Mathematiques Stochastiques, UMR 9936 CNRS-U.Bordeaux 1, U.Victor Segalen Bordeaux 2, F33076 Bordeaux Cedex, France
2 Department of Mathematics and Computer Science, Skidmore College, Saratoga Springs, NY 12866
3 Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands
4 Memotec Communications, Inc., 600 Rue McCaffrey, Montreal, QC, H4T1N1, Canada 
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     title = {A complete {Vinogradov} 3-primes theorem under the {Riemann} hypothesis},
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     year = {1997},
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Deshouillers, J.-M.; Effinger, G.; te Riele, H.; Zinoviev, D. A complete Vinogradov 3-primes theorem under the Riemann hypothesis. Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 99-104. doi: 10.1090/S1079-6762-97-00031-0

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