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• W3200316964 abstract "In this paper we give a modular interpretation of the k-th symmetric power L-function of the Kloosterman family of exponential sums in characteristics 2 and 3, and in the case of p=2 and k odd give the precise 2-adic Newton polygon. We also give a p-adic modular interpretation of Dwork's unit root L-function of the Kloosterman family, and give the precise 2-adic Newton polygon when k is odd. In a previous paper, we gave an estimate for the q-adic Newton polygon of the symmetric power L-function of the Kloosterman family when p≥5. We discuss how this restriction on primes was not needed, and also provide an improved estimate." @default.
• W3200316964 created "2021-09-27" @default.
• W3200316964 creator A5055463765 @default.
• W3200316964 date "2021-12-01" @default.
• W3200316964 modified "2023-10-18" @default.
• W3200316964 title "Kloosterman sums and Hecke polynomials in characteristics 2 and 3" @default.
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• W3200316964 doi "https://doi.org/10.1016/j.ffa.2021.101896" @default.
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