On the Waring–Goldbach problem for seventh powers

Kumchev, Angel

doi:10.1090/S0002-9939-05-07908-6

On the Waring–Goldbach problem for seventh powers
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by Angel V. Kumchev PDF

Proc. Amer. Math. Soc. 133 (2005), 2927-2937 Request permission

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 $46$ seventh powers of prime numbers.

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