Abstract
The Hodge bound for the Newton polygon of L-functions of T-adic exponential sums associated to a Laurent polynomial is established. We improve the lower bound and study the properties of this new bound. We also study when this new bound is reached with large p arbitrarily, and hence the generic Newton polygon is determined.
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Dedicated to Professor Banghe LI on the Occasion of his 80th birthday
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Leng, F. Generic Newton polygon of the L-function of n variables of the Laurent polynomial I. Acta Math Sci 42, 2419–2436 (2022). https://doi.org/10.1007/s10473-022-0614-x
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DOI: https://doi.org/10.1007/s10473-022-0614-x