L-functions of symmetric powers of the generalized Airy family of exponential sums
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 techniqu...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2011 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/42008 |
| Online Access: | http://hdl.handle.net/11441/42008 https://doi.org/10.1142/S1793042111005040 |
| Access Level: | Open access |
| Keyword: | L-function Airy family monodromy Newton polygon |
| Summary: | 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. |
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