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29 March 2024
 
  » arxiv » 0806.2908

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Lower order terms for the one-level densities of symmetric power $L$-functions in the level aspect
Guillaume Ricotta ; Emmanuel Royer ;
Date 18 Jun 2008
AbstractIn 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). %
Source arXiv, 0806.2908
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