Zeta Functions Of Groups And Rings
DOWNLOAD
Download Zeta Functions Of Groups And Rings PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Zeta Functions Of Groups And Rings book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Zeta Functions Of Groups And Rings
DOWNLOAD
Author : Marcus du Sautoy
language : en
Publisher: Springer Science & Business Media
Release Date : 2008
Zeta Functions Of Groups And Rings written by Marcus du Sautoy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation.
Zeta Functions Of Groups And Rings
DOWNLOAD
Author : Marcus du Sautoy
language : en
Publisher: Springer
Release Date : 2007-12-10
Zeta Functions Of Groups And Rings written by Marcus du Sautoy and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-10 with Mathematics categories.
Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. It explores the analytic behavior of these functions together with an investigation of functional equations. The book examines many important examples of zeta functions, providing an important database of explicit examples and methods for calculation.
Zeta Functions In Algebra And Geometry
DOWNLOAD
Author : Antonio Campillo
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Zeta Functions In Algebra And Geometry written by Antonio Campillo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Contains the proceedings of the Second International Workshop on Zeta Functions in Algebra and Geometry held May 3-7, 2010 at the Universitat de les Illes Balears, Palma de Mallorca, Spain. The conference focused on the following topics: arithmetic and geometric aspects of local, topological, and motivic zeta functions, Poincare series of valuations, zeta functions of groups, rings, and representations, prehomogeneous vector spaces and their zeta functions, and height zeta functions.
Zeta Functions Of Groups And Rings
DOWNLOAD
Author : Robert Snocken
language : en
Publisher:
Release Date : 2014
Zeta Functions Of Groups And Rings written by Robert Snocken and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
Lectures On Profinite Topics In Group Theory
DOWNLOAD
Author : Benjamin Klopsch
language : en
Publisher: Cambridge University Press
Release Date : 2011-02-10
Lectures On Profinite Topics In Group Theory written by Benjamin Klopsch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-10 with Mathematics categories.
In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The final chapter provides an overview of zeta functions associated to groups and rings. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.
Algorithmic And Experimental Methods In Algebra Geometry And Number Theory
DOWNLOAD
Author : Gebhard Böckle
language : en
Publisher: Springer
Release Date : 2018-03-22
Algorithmic And Experimental Methods In Algebra Geometry And Number Theory written by Gebhard Böckle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-22 with Mathematics categories.
This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.
Variations On The Theme Of Zeta Functions Of Groups And Rings
DOWNLOAD
Author : Seungjai Lee
language : en
Publisher:
Release Date : 2019
Variations On The Theme Of Zeta Functions Of Groups And Rings written by Seungjai Lee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Galois Theory Rings Algebraic Groups And Their Applications
DOWNLOAD
Author : Simeon Ivanov
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Galois Theory Rings Algebraic Groups And Their Applications written by Simeon Ivanov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This collection consists of original work on Galois theory, rings and algebras, algebraic geometry, group representations, algebraic K—theory and some of their applications.
Shintani Zeta Functions
DOWNLOAD
Author : Akihiko Yukie
language : en
Publisher: Cambridge University Press
Release Date : 1993
Shintani Zeta Functions written by Akihiko Yukie and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
The theory of prehomogeneous vector spaces is a relatively new subject although its origin can be traced back through the works of Siegel to Gauss. The study of the zeta functions related to prehomogeneous vector spaces can yield interesting information on the asymptotic properties of associated objects, such as field extensions and ideal classes. This is amongst the first books on this topic, and represents the author's deep study of prehomogeneous vector spaces. Here the author's aim is to generalise Shintani's approach from the viewpoint of geometric invariant theory, and in some special cases he also determines not only the pole structure but also the principal part of the zeta function. This book will be of great interest to all serious workers in analytic number theory.
Introduction To Siegel Modular Forms And Dirichlet Series
DOWNLOAD
Author : Anatoli Andrianov
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-17
Introduction To Siegel Modular Forms And Dirichlet Series written by Anatoli Andrianov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-17 with Mathematics categories.
Several years ago I was invited to an American university to give one-term graduate course on Siegel modular forms, Hecke operators, and related zeta functions. The idea to present in a concise but basically complete and self-contained form an int- duction to an important and developing area based partly on my own work attracted me. I accepted the invitation and started to prepare the course. Unfortunately, the visit was not realized. But the idea of such a course continued to be alive till after a number of years this book was ?nally completed. I hope that this short book will serve to attract young researchers to this beautiful ?eld, and that it will simplify and make more pleasant the initial steps. No special knowledge is presupposed for reading this book beyond standard courses in algebra and calculus (one and several variables), although some skill in working with mathematical texts would be helpful. The reader will judge whether the result was worth the effort. Dedications. The ideas of Goro Shimura exerted a deep in?uence on the number theory of the second half of the twentieth century in general and on the author’s formation in particular. When Andre ` Weil was signing a copy of his “Basic Number Theory” to my son, he wrote in Russian, ”To Fedor Anatolievich hoping that he will become a number theoretist”. Fedor has chosen computer science. Now I pass on the idea to Fedor’s daughter, Alexandra Fedorovna.