$p$-Adic Analysis, Arithmetic and Singularities. Dieser Artikel ist nicht verfügbar.$p$-Adic Analysis, Arithmetic and Singularities

Nine papers From a mathematics summer school held in Santander, Spain during June 2019 introduce a very active research area at the intersection of number theory, p-adic analysis, algebraic geometry, and singularity theory. The main objects of study are the local zeta functions and some algebraic-combinatorial counterparts called Poincaré series, which are in some sense a kind of generating functions associated with suitable ring filtration. Among the topics are Archimedean zeta functions and oscillatory integrals, p-adic Igusa zeta functions, maximal order poles of generalized topological zeta function, and motivic Poincarés series of cusp surface singularities. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)

Carlos Galindo, Universidad Jaume I, Castello de la Plana, Spain.

Alejandro Melle Hernandez, Universidad Complutense de Madrid, Spain.

Julio Jose Moyano-Fernandez, Universitat Jaume I, Castello de la Plana, Spain.

Wilson A. Zuniga-Galindo, University of Texas, Brownsville, TX, and Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nactional, Unidad Quer, Santiago de Queretaro, Qro., Mexico.