Geodesic
Arithmetic progressions, prime numbers, and squarefree integers
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 915-927

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper we establish the distribution of prime numbers in a given arithmetic progression $p \equiv l \hspace{4.44443pt}(\@mod \; k)$ for which $ap + b$ is squarefree.
Classification : 11B05, 11B25, 11K65, 11N13, 11N25, 11N37, 11N69
Keywords: primes in arithmetic progressions; squarefree integers; Artin’s constant 
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     title = {Arithmetic progressions, prime numbers, and squarefree integers},
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Clary, Stuart; Fabrykowski, Jacek. Arithmetic progressions, prime numbers, and squarefree integers. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 915-927. http://geodesic.mathdoc.fr/item/CMJ_2004__54_4_a7/