Weighted stationary phase of higher orders

Autor:	McKee, Mark, Sun, Haiwei, Ye, Yangbo
Rok vydání:	2016
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	An $n$th-order first derivative test for oscillatoric integrals is established. When the phase has a single stationary point, an $n$th-order asymptotic expansion of a weighted stationary phase integral is proved for arbitrary $n\geq1$. This asymptotic expansion sharpened the classical result for $n=1$ by Huxley. Possible applications include analysis and analytic number theory. Comment: arXiv admin note: substantial text overlap with arXiv:1510.01219
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1601.07887 Zobrazit plný text záznamu View this record from Arxiv