Abstract:puisque r)x ^ Q~xx = (\ogy) B . Grace a (9.5), on peut ecrire la contribution du terme principal de (2.12) sous la forme
f e{r ] t)dV q {t,y)= f e( V t)\v q (t, y) + ^^] dt + f e(r,t)d{tS q (t)}.Jxly J xly *-lO &y J J xlyPar le lemme 9.2, on voit que la premiere integrale est de 1'ordre de grandeur souhaite". La seconde est egale a
“…Les Lemmes C et D découlent du Corollaire de [8]. En reprenant la démonstration du Théorème 2 de [4] dans le cas particulier qui nous intéresse, on obtient le Lemme E. Le Lemme F constitue le Théorème 1 de [10]. Le Lemme G découle du Théo-rème 2(ii) de [10].…”
“…Les Lemmes C et D découlent du Corollaire de [8]. En reprenant la démonstration du Théorème 2 de [4] dans le cas particulier qui nous intéresse, on obtient le Lemme E. Le Lemme F constitue le Théorème 1 de [10]. Le Lemme G découle du Théo-rème 2(ii) de [10].…”
“…We also need the following result of Fouvry and Tenenbaum [7] about smooth numbers relatively prime to a fixed modulus.…”
Section: Preliminariesmentioning
confidence: 99%
“…In this paper, we show how the methods of [17] combined with results of Granville [10] (see also [9]) and Fouvry and Tenenbaum [7] on smooth integers in arithmetic progressions can be used to prove that the estimate…”
We study the problem of bounding the number of primes p ≤ x in an arithmetic progression for which the largest prime factor of p − h does not exceed y.
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