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Additive representation in thin sequences, II: The binary Goldbach problem

Part of: Additive number theory; partitions

Published online by Cambridge University Press:  26 February 2010

J. Brüdern ,
K. Kawada  and
T. D. Wooley
J. Brüdern
Affiliation:
Mathematisches Institut A, Universität Stuttgart, Postfach 80 11 40, D-70511 Stuttgart, Germany. E-mail: bruedern@mathematik.uni-stuttgart.de
K. Kawada
Affiliation:
Department of Mathematics, Faculty of Education, Iwate University, Morioka 020-8550, Japan. E-mail: kawada@iwate-u.ac.jp
T. D. Wooley
Affiliation:
Department of Mathematics, University of Michigan, East Hall, 525 East University Avenue, Ann Arbor, MI 48109-1109, U.S.A., E-mail: wooley@math.lsa.umich.edu
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Extract

§1. Introduction. Most prominent among the classical problems in additive number theory are those of Waring and Goldbach type. Although use of the Hardy–Littlewood method has brought admirable progress, the finer questions associated with such problems have yet to find satisfactory solutions. For example, while the ternary Goldbach problem was solved by Vinogradov as early as 1937 (see Vinogradov [16], [17]), the latter's methods permit one to establish merely that almost all even integers are the sum of two primes (see Chudakov [4], van der Corput [5] and Estermann [7]).

MSC classification

Secondary: 11P32: Goldbach-type theorems; other additive questions involving primes
Type
Research Article
Information
Mathematika , Volume 47 , Issue 1-2 , December 2000 , pp. 117 - 125
Copyright
Copyright © University College London 2000

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