P-adic Analysis, Arithmetic and Singularities
Carlos Galindo, Alejandro Melle Hernandez, Julio Jose Moyano-fernandez, Wilson A. Zuniga-Galindo
This volume contains the proceedings of the 2019 Lluís A. Santaló Summer School on p" role="presentation">p-Adic Analysis, Arithmetic and Singularities, which was held from June 24–28, 2019, at the Universidad Internacional Menéndez Pelayo, Santander, Spain.
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" role="presentation">p-adic analysis, algebraic geometry, singularity theory, and theoretical physics. Specifically, the book introduces p" role="presentation">p-adic analysis, the theory of Archimedean, p" role="presentation">p-adic, and motivic zeta functions, singularities of plane curves and their Poincaré 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
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" role="presentation">p-adic analysis, algebraic geometry, singularity theory, and theoretical physics. Specifically, the book introduces p" role="presentation">p-adic analysis, the theory of Archimedean, p" role="presentation">p-adic, and motivic zeta functions, singularities of plane curves and their Poincaré 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
Κατηγορίες:
Έτος:
2022
Εκδότης:
American Mathematical Society
Γλώσσα:
english
Σελίδες:
331
ISBN 10:
1470467798
ISBN 13:
9781470467791
Σειρές:
Contemporary Mathematics, 778
Αρχείο:
PDF, 7.96 MB
IPFS:
,
english, 2022
Amazon 
Barnes & Noble 
Bookshop.org
Θέλετε να προσθέσετε βιβλιοπωλείο; Επικοινωνήστε μαζί μας στο support@z-lib.do
Μετατροπή αρχείων
Περισσότερα αποτελέσματα αναζήτησης
Λοιπά πλεονεκτήματα 
