On the Waring-Goldbach problem for seventh powers

Author:
Angel V. Kumchev

Journal:
Proc. Amer. Math. Soc. **133** (2005), 2927-2937

MSC (2000):
Primary 11P32, 11L20, 11N36, 11P05, 11P55

DOI:
https://doi.org/10.1090/S0002-9939-05-07908-6

Published electronically:
April 25, 2005

MathSciNet review:
2159771

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Abstract | References | Similar Articles | Additional Information

Abstract: We use sieve theory and recent estimates for Weyl sums over almost primes to prove that every sufficiently large even integer is the sum of seventh powers of prime numbers.

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Additional Information

**Angel V. Kumchev**

Affiliation:
Department of Mathematics, 1 University Station, C1200, The University of Texas at Austin, Austin, Texas 78712

Email:
kumchev@math.utexas.edu

DOI:
https://doi.org/10.1090/S0002-9939-05-07908-6

Received by editor(s):
May 17, 2004

Received by editor(s) in revised form:
June 10, 2004

Published electronically:
April 25, 2005

Communicated by:
Wen-Ching Winnie Li

Article copyright:
© Copyright 2005
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.