Open Access
March 2013 A remark on the Goldbach-Vinogradov theorem
Yingchun Cai
Funct. Approx. Comment. Math. 48(1): 123-131 (March 2013). DOI: 10.7169/facm/2013.48.1.10

Abstract

Let $N$ denote a sufficiently large odd integer. In this paper it is proved that $N$ can be represented as the sum of three primes, one of which is $\leq N^{\frac{11}{400}+\varepsilon}$ for any $\varepsilon>0$. This result constitutes an improvement upon that of K.C. Wong, who obtained the exponent $\frac{7}{216}$.

Citation

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Yingchun Cai. "A remark on the Goldbach-Vinogradov theorem." Funct. Approx. Comment. Math. 48 (1) 123 - 131, March 2013. https://doi.org/10.7169/facm/2013.48.1.10

Information

Published: March 2013
First available in Project Euclid: 25 March 2013

zbMATH: 1329.11104
MathSciNet: MR3086965
Digital Object Identifier: 10.7169/facm/2013.48.1.10

Subjects:
Primary: 11N36
Secondary: 11P32

Keywords: mean value theorem , prime , sieve

Rights: Copyright © 2013 Adam Mickiewicz University

Vol.48 • No. 1 • March 2013
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