On the number of representations in the Waring-Goldbach problem with a prime variable in an arithmetic progression
Journal de théorie des nombres de Bordeaux, Volume 24 (2012) no. 2, pp. 355-368.

We prove a Bombieri-Vinogradov type theorem for the number of representations of an integer N in the form N=p 1 g +p 2 g +...+p s g with p 1 ,p 2 ,...,p s prime numbers such that p 1 l( mod k), under suitable hypothesis on s=s(g) for every integer g2.

Nous démontrons un théorème de type Bombieri- Vinogradov sur le nombre de représentations d’un entier N sous la forme N=p 1 g +p 2 g ++p s g avec p 1 ,p 2 ,,p s des nombres premiers et p 1 l( mod k), sous une hypothèse convenable s=s(g) pour chaque entier g2.

DOI: 10.5802/jtnb.800
Laporta, Maurizio 1

1 Dipartimento di Matematica e Appl.“R. Caccioppoli” Università degli Studi di Napoli “Federico II” Via Cinthia, 80126 Napoli, Italy
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Laporta, Maurizio. On the number of representations in the Waring-Goldbach problem with a prime variable in an arithmetic progression. Journal de théorie des nombres de Bordeaux, Volume 24 (2012) no. 2, pp. 355-368. doi : 10.5802/jtnb.800. http://archive.numdam.org/articles/10.5802/jtnb.800/

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