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The inverse Goldbach problem

Part of: Additive number theory; partitions

Published online by Cambridge University Press:  26 February 2010

Christian Elsholtz
Christian Elsholtz
Affiliation:
Institut fur Mathematik, TU Clausthal, Erzstrasse 1, D-38678 Clausthal-Zellerfeld, Germany. E-mail: elsholtz@math.tu-clausthal.de.
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Abstract

Improved upper and lower bounds of the counting functions of the conceivable additive decomposition sets of the set of primes are established. Suppose that where, ℝ′ differs from the set of primes in finitely many elements only and .

It is shown that the counting functions A(x) of ℐ and B(x) of ℬ for sufficiently large x, satisfy

MSC classification

Secondary: 11P32: Goldbach-type theorems; other additive questions involving primes

Information

Type
Research Article
Information
Mathematika , Volume 48 , Issue 1-2 , December 2001 , pp. 151 - 158
Copyright
Copyright © University College London 2001

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