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- W2056540810 abstract "On calcule les moments des fonctions L de puissances symétriques de formes modulaires au bord de la bande critique en les tordant par les valeurs centrales des fonctions L de formes modulaires. Dans le cas des puissances paires, on montre qu’il est équivalent de tordre par la valeur au bord des fonctions L de carrés symétriques. On en déduit des informations sur la taille des valeurs au bord de la bande critique de fonctions L de puissances symétriques dans certaines sous-familles. Dans une deuxième partie, on étudie la répartition des petites et grandes valeurs propres de Hecke. On en déduit des informations sur des conditions d’extrémalité simultanées des valeurs de fonctions L de puissances symétriques au bord de la bande critique." @default.
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- W2056540810 date "2007-01-01" @default.
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- W2056540810 title "Special values of symmetric power L-functions and Hecke eigenvalues" @default.
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- W2056540810 doi "https://doi.org/10.5802/jtnb.609" @default.
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