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

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

2008-06-18

arxiv.org/abs/0806.2908v1

Mathematics

Number Theory

Scientific paper

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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