Monatshefte für Mathematik

, Volume 128, Issue 4, pp 283–313 | Cite as

Squares of Primes and Powers of 2

  • Jianya Liu
  • Ming-Chit Liu
  • Tao Zhan

Abstract.

 As an extension of the Linnik-Gallagher results on the “almost Goldbach” problem, we prove, among other things, that there exists a positive integer k0 such that every large even integer is a sum of four squares of primes and k0 powers of 2.

1991 Mathematics Subject Classification: 11P32 11P05 11N36 11P55 
Key words: Generalized Goldbach problems circle method sieve methods 

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Copyright information

© Springer-Verlag Wien 1999

Authors and Affiliations

  • Jianya Liu
    • 1
  • Ming-Chit Liu
    • 1
  • Tao Zhan
    • 2
  1. 1. The University of Hong KongHK
  2. 2. Shandong University, Jinan, Shandong, P. R. ChinaCN

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