Geodesic
On the Waring–Goldbach Problem: Exceptional Sets for Sums of Cubes and Higher Powers
Canadian journal of mathematics, Tome 57 (2005) no. 2, pp. 298-327

Voir la notice de l'article provenant de la source Cambridge University Press

We investigate exceptional sets in the Waring–Goldbach problem. For example, in the cubic case, we show that all but $O\left( {{N}^{79/84+\in }} \right)$ integers subject to the necessary local conditions can be represented as the sum of five cubes of primes. Furthermore, we develop a new device that leads easily to similar estimates for exceptional sets for sums of fourth and higher powers of primes.
DOI : 10.4153/CJM-2005-013-3
Mots-clés : 11P32, 11L15, 11L20, 11N36, 11P55 
Kumchev, Angel V. On the Waring–Goldbach Problem: Exceptional Sets for Sums of Cubes and Higher Powers. Canadian journal of mathematics, Tome 57 (2005) no. 2, pp. 298-327. doi: 10.4153/CJM-2005-013-3
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