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Theses

Problèmes de type Linnik pour les fonctions L de formes automorphes

Abstract : In the thesis we have studied the distribution of the coefficients of automorphic L-functions for GL(m) with m = 2. On the one hand, we have treated the first sign change of these coefficients, i.e. the Linnik-type problems, and obtained the polynomial-type estimates. On the other hand, we studied the long and short summations of coefficients of L-functions for GL(m) on the prime numbers to test their decompensation, respectively.
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Yan Qu. Problèmes de type Linnik pour les fonctions L de formes automorphes. Mathématiques générales [math.GM]. Université Henri Poincaré - Nancy 1, 2008. Français. ⟨NNT : 2008NAN10070⟩. ⟨tel-01748432⟩

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