Mean representation number of integers as the sum of primes

Authors :: Gautami Bhowmik
Jan-Christoph Schlage-Puchta
Laboratoire Paul Painlevé - UMR 8524 (LPP)
Université de Lille-Centre National de la Recherche Scientifique (CNRS)
Mathematisches institut
University of Freiburg [Freiburg]
Laboratoire Paul Painlevé (LPP)
Source :: Nagoya Math. J. 200 (2010), 27-33, Nagoya Mathematical Journal, Nagoya Mathematical Journal, Duke University Press, 2010, pp.0-6, Nagoya Mathematical Journal, 2010, pp.0-6
Publication Year :: 2010
Publisher :: Duke University Press, 2010.
Abstract: Assuming the Riemann hypothesis, we obtain asymptotic estimates for the mean value of the number of representations of an integer as a sum of two primes. By proving a corresponding Ω-term, we show that our result is essentially the best possible.

Language :: English
ISSN :: 00277630
Database :: OpenAIRE
Journal :: Nagoya Math. J. 200 (2010), 27-33, Nagoya Mathematical Journal, Nagoya Mathematical Journal, Duke University Press, 2010, pp.0-6, Nagoya Mathematical Journal, 2010, pp.0-6
Accession number :: edsair.doi.dedup.....bef01b53e48f05ef042c4b68ca19d0f7

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