English

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

Algebraic Geometry 2024-12-12 v1 Number Theory

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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Cite

@article{arxiv.2412.08354,
  title  = {The Igusa local zeta function of certain Thom-Sebastiani type functions},
  author = {Quy Thuong Lê and Hoang Long Nguyen},
  journal= {arXiv preprint arXiv:2412.08354},
  year   = {2024}
}

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17 pages