Geodesic
Sur le changement de signe des sommes de Kloosterman
Étienne Fouvry1 ; Philippe Michel2
1 Mathématiques Bât, Univ. Paris-Sud, Campus d'Orsay, F-91405 Orsay Cedex, France
2 Département de Mathématiques, Univ. Montpelier II, Place E. Bataillon, FR-34095 Montpellier Cedex, France
Annals of mathematics, Tome 165 (2007) no. 3, pp. 675-715.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Combining sieve methods with automorphic form theory and techniques from $\ell$-adic cohomology, we prove that the sign of Kloosterman sums ${\mathrm{Kl}}(1,1;n)$ changes infinitely often as $n$ ranges over the squarefree integers having all their prime factors larger than $n^{1/23.9}$.
DOI : 10.4007/annals.2007.165.675

Étienne Fouvry 1 ; Philippe Michel 2

1 Mathématiques Bât, Univ. Paris-Sud, Campus d'Orsay, F-91405 Orsay Cedex, France
2 Département de Mathématiques, Univ. Montpelier II, Place E. Bataillon, FR-34095 Montpellier Cedex, France 
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Étienne Fouvry; Philippe Michel. Sur le changement de signe des sommes de Kloosterman. Annals of mathematics, Tome 165 (2007) no. 3, pp. 675-715. doi : 10.4007/annals.2007.165.675. http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.165.675/

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