Lower order terms for the one-level densities of symmetric power $L$-functions in the level aspect
Langue
en
Article de revue
Ce document a été publié dans
Acta Arithmetica. 2010, vol. 141, n° 2, p. 153-170
Instytut Matematyczny PAN
Résumé en anglais
In a previous paper, the authors determined, among other things, the main terms for the one-level densities for low-lying zeros of symmetric power L-functions in the level aspect. In this paper, the lower order terms of ...Lire la suite >
In a previous paper, the authors determined, among other things, the main terms for the one-level densities for low-lying zeros of symmetric power L-functions in the level aspect. In this paper, the lower order terms of these one-level densities are found. The combinatorial difficulties, which should arise in such context, are drastically reduced thanks to Chebyshev polynomials, which are the characters of the irreducible representations of SU(2). %< Réduire
Mots clés en anglais
symmetric power L-functions
non-trivial zeros
one-level density
Project ANR
Théorie modulaire des nombres et applications - ANR-07-JCJC-0140
Origine
Importé de halUnités de recherche