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The Goldbach-Vinogradov Theorem in Arithmetic Progressions

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Number Theory

Part of the book series: Developments in Mathematics ((DEVM,volume 15))

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Abstract

We prove that the ternary Goldbach problem can be solved with two of the prime variables in different arithmetic progressions.

Project supported partially by the National Natural Science Foundation of China(Grant No. 10471090).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, P. R. China

    Zhen Cui

Authors
  1. Zhen Cui
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Editor information

Editors and Affiliations

  1. Northwest University, Xi’an, P.R. China

    Wenpeng Zhang

  2. Nagoya University, Nagoya, Japan

    Yoshio Tanigawa

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© 2006 Springer Science + Business Media, Inc.

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Cui, Z. (2006). The Goldbach-Vinogradov Theorem in Arithmetic Progressions. In: Zhang, W., Tanigawa, Y. (eds) Number Theory. Developments in Mathematics, vol 15. Springer, Boston, MA. https://doi.org/10.1007/0-387-30829-6_5

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