L-functions of symmetric powers of the generalized Airy family of exponential sums

Details L-functions of symmetric powers of the generalized Airy family of exponential sums L-functions of symmetric powers of the generalized Airy family of exponential sums

2010-08-02

arxiv.org/abs/1008.0408v1

Mathematics

Number Theory

12 pages

Scientific paper

This paper looks at the L-function of the k-th symmetric power of the
ell-adic sheaf over the affine line associated to the generalized Airy family
of exponential sums. We compute the degree of this rational function and the
local factors at infinity.

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