Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields

zbMath1312.14067arXiv1009.3680MaRDI QIDQ5495401

Edwin León-Cardenal, Wilson A. Zuniga-Galindo

Publication date: 4 August 2014

Full work available at URL: https://arxiv.org/abs/1009.3680

zbMATH Keywords

Laurent polynomialsNewton polytopesIgusa zeta function\(p\)-adic oscillatory integralsnon-degeneracy conditions at infinity

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Exponential sums (11T23) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions (11S40)

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An explicit formula for the local zeta function of a Laurent polynomial

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