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.
Fusheng LENG
. GENERIC NEWTON POLYGON OF THE L-FUNCTION OF n VARIABLES OF THE LAURENT POLYNOMIAL I[J]. Acta mathematica scientia, Series B, 2022
, 42(6)
: 2419
-2436
.
DOI: 10.1007/s10473-022-0614-x
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