Meromorphic continuations of local zeta functions and their applications to oscillating integrals

Toshihisa Okada, Kiyoshi Takeuchi

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We introduce a new method which enables us to calculate the coefficients of the poles of local zeta functions very precisely and prove some explicit formulas. Some vanishing theorems for the candidate poles of local zeta functions will be also given. Moreover we apply our method to oscillating integrals and obtain an explicit formula for the coefficients of their asymptotic expansions.

Original languageEnglish
Pages (from-to)159-178
Number of pages20
JournalTohoku Mathematical Journal
Volume65
Issue number2
DOIs
Publication statusPublished - 2013 Jun
Externally publishedYes

Keywords

  • Local zeta function
  • Oscillating integral
  • Toric variety

ASJC Scopus subject areas

  • Mathematics(all)

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