期刊论文详细信息
Journal of Mathematical Sciences | |
Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields | |
León-Cardenal, E.1  Zúñiga-Galindo, W. A.1  | |
关键词: $p$-adic oscillatory integrals; Laurent polynomials; Igusa zeta function; Newton polytopes; non-degeneracy conditions at infinity.; | |
DOI : | |
学科分类:数学(综合) | |
来源: University of Tokyo * Department of Mathematical Sciences | |
【 摘 要 】
Inthisarticle,westudylocalzetafunctionsattachedtoLaurentpolynomialsover$p$-adicfields,whicharenon-degeneratewithrespecttotheirNewtonpolytopesatinfinity.Asanapplicationweobtainasymptoticexpansionsfor$p$-adicoscillatoryintegralsattachedtoLaurentpolynomials.Weshowtheexistenceoftwodifferentasymptoticexpansionsfor$p$-adicoscillatoryintegrals,onewhentheabsolutevalueoftheparameterapproachesinfinity,theotherwhentheabsolutevalueoftheparameterapproacheszero.ThesetwoasymptoticexpansionsarecontrolledbythepolesoftwistedlocalzetafunctionsofIgusatype.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912090769993ZK.pdf | 236KB | download |