The Igusa local zeta function of certain Thom-Sebastiani type functions

2024/12/11 by Quy Thuong Lê, Lê, Quy Thuong, Long Hoang Nguyen +1
Mathematics · Physics and Astronomy · #11S40 #11S80 #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Algebraic Geometry (math.AG) #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Primary 14B05 #Secondary 52B05

paper · pdf · doi:10.48550/arxiv.2412.08354

openalex publication_date 2024/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give an explicit formula of the Igusa local zeta function of a Thom-Sebastiani type sum of two separated-variable Newton non-critical polynomials. Data for the description are available on their Newton polyhedra.

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