P adic Analysis, Arithmetic and Singularities
Galindo, Carlos (EDT); Hernandez, Alejandro Melle (EDT); Julio Jose Moyano-fernandez, (EDT); Zuniga-Galindo, Wilson A. (EDT)
Language: English
Published by Amer Mathematical Society
- Softcover
- Used
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- Title
- P adic Analysis, Arithmetic and Singularities
- Author
- Galindo, Carlos (EDT); Hernandez, Alejandro Melle (EDT); Julio Jose Moyano-fernandez, (EDT); Zuniga-Galindo, Wilson A. (EDT)
- Publisher
- Amer Mathematical Society
- Condition
- As New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 1470467798
- ISBN 13
- 9781470467791
The main purpose of the book is to present and analyze different incarnations of the local zeta functions and their multiple connections in mathematics and theoretical physics. Local zeta functions are ubiquitous objects in mathematics and theoretical physics. At the mathematical level, local zeta functions contain geometry and arithmetic information about the set of zeros defined by a finite number of polynomials. In terms of applications in theoretical physics, these functions play a central role in the regularization of Feynman amplitudes and Koba-Nielsen-type string amplitudes, among other applications.
This volume provides a gentle introduction to a very active area of research that lies at the intersection of number theory, $p$-adic analysis, algebraic geometry, singularity theory, and theoretical physics. Specifically, the book introduces $p$-adic analysis, the theory of zeta functions, Archimedean, $p$-adic, motivic, singularities of plane curves and their Poincare series, among other similar topics. It also contains original contributions in the aforementioned areas written by renowned specialists.
This book is an important reference for students and experts who want to delve quickly into the area of local zeta functions and their many connections in mathematics and theoretical physics.
This book is published in cooperation with Real Sociedad Matematica Espanola.
"Synopsis" may belong to another edition of this title.
About the Author
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.
"About the title" may belong to another edition of this title.
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