Revista Integración, temas de matemáticas.
Vol. 37 No. 1 (2019): Revista Integración, temas de matemáticas
Research and Innovation Articles

An Introduction to the Theory of Local Zeta Functions from Scratch

Edwin León-Cardenal
Centro de Investigación en Matemáticas, Unidad Zacatecas, Quantum, Ciudad del Conocimiento, Zacatecas, México.
W. A. Zúñiga-Galindo
Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Unidad Querétaro, Departamento de Matemáticas, Libramiento Norponiente #2000, Fracc. Real de Juriquilla. Santiago de Querétaro, Qro. 76230, México.

Published 2019-02-19

Keywords

  • Local zeta functions,
  • p-adic analysis,
  • local fields,
  • stationary phase formula

How to Cite

León-Cardenal, E., & Zúñiga-Galindo, W. A. (2019). An Introduction to the Theory of Local Zeta Functions from Scratch. Revista Integración, Temas De matemáticas, 37(1), 45–76. https://doi.org/10.18273/revint.v37n1-2019004

Abstract

This survey article aims to provide an introduction to the theory of local zeta functions in the p-adic framework for beginners. We also give an extensive guide to the current literature on local zeta functions and its connections with other fields in mathematics and physics.

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