Article
L-functions of symmetric powers of the generalized Airy family of exponential sums
Author/s | Haessig, C. Douglas
Rojas León, Antonio |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2011-12 |
Deposit Date | 2016-06-07 |
Published in |
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Abstract | This paper looks at the L-function of the kth symmetric power of the -sheaf Aif over the affine line associated to the generalized Airy family of exponential sums. Using ℓ-adic techniques, we compute the degree of this ... This paper looks at the L-function of the kth symmetric power of the -sheaf Aif over the affine line associated to the generalized Airy family of exponential sums. Using ℓ-adic techniques, we compute the degree of this rational function as well as the local factors at infinity. Using p-adic techniques, we study the q-adic Newton polygon of the L-function. |
Project ID. | DMS-0901542
PO8-FQM-03894 MTM2007-66929 |
Citation | Haessig, C.D. y Rojas León, A. (2011). L-functions of symmetric powers of the generalized Airy family of exponential sums. International Journal of Number Theory, 7 (8), 2019-2064. |
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