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Article Dans Une Revue Acta Arithmetica Année : 2010

Lower order terms for the one-level densities of symmetric power $L$-functions in the level aspect

Résumé

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). %
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hal-00288656 , version 1 (18-06-2008)

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Guillaume Ricotta, Emmanuel Royer. Lower order terms for the one-level densities of symmetric power $L$-functions in the level aspect. Acta Arithmetica, 2010, 141 (2), pp.153-170. ⟨hal-00288656⟩
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