Generic Newton polygon of the L-function of n variables of the Laurent polynomial I

doi:10.1007/s10473-022-0614-x

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	Generic Newton polygon of the L-function of n variables of the Laurent polynomial I
	Leng, Fusheng
	2022-11-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	42 期号:6 页码:2419-2436
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
DOI	10.1007/s10473-022-0614-x
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000865756500014
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60863
专题	中国科学院数学与系统科学研究院
通讯作者	Leng, Fusheng
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Leng, Fusheng. Generic Newton polygon of the L-function of n variables of the Laurent polynomial I[J]. ACTA MATHEMATICA SCIENTIA,2022,42(6):2419-2436.
APA	Leng, Fusheng.(2022).Generic Newton polygon of the L-function of n variables of the Laurent polynomial I.ACTA MATHEMATICA SCIENTIA,42(6),2419-2436.
MLA	Leng, Fusheng."Generic Newton polygon of the L-function of n variables of the Laurent polynomial I".ACTA MATHEMATICA SCIENTIA 42.6(2022):2419-2436.