GENERIC NEWTON POLYGON OF THE L-FUNCTION OF n VARIABLES OF THE LAURENT POLYNOMIAL I  

作　　者：Fusheng LENG 冷福生(Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China)

机构地区：[1]Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China

出　　处：《Acta Mathematica Scientia》2022年第6期2419-2436,共18页数学物理学报（B辑英文版）

摘　　要：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.

关 键 词：exponential sum Hodge bound combinatorial Newton polygon 

分 类 号：O174.14[理学—数学]