Shintani Zeta Functions
DOWNLOAD
Download Shintani Zeta Functions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Shintani Zeta Functions 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
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.
Shintani Zeta Functions
DOWNLOAD
Author : Akihiko Yukie
language : en
Publisher:
Release Date : 1993
Shintani Zeta Functions written by Akihiko Yukie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Electronic books 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.
On The Global Theory Of Shintani Zeta Functions
DOWNLOAD
Author : Akihiko Yukie
language : de
Publisher:
Release Date : 1991
On The Global Theory Of Shintani Zeta Functions written by Akihiko Yukie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
The Theory Of Zeta Functions Of Root Systems
DOWNLOAD
Author : Yasushi Komori
language : en
Publisher: Springer Nature
Release Date : 2024-01-02
The Theory Of Zeta Functions Of Root Systems written by Yasushi Komori and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-02 with Mathematics categories.
The contents of this book was created by the authors as a simultaneous generalization of Witten zeta-functions, Mordell–Tornheim multiple zeta-functions, and Euler–Zagier multiple zeta-functions. Zeta-functions of root systems are defined by certain multiple series, given in terms of root systems. Therefore, they intrinsically have the action of associated Weyl groups. The exposition begins with a brief introduction to the theory of Lie algebras and root systems and then provides the definition of zeta-functions of root systems, explicit examples associated with various simple Lie algebras, meromorphic continuation and recursive analytic structure described by Dynkin diagrams, special values at integer points, functional relations, and the background given by the action of Weyl groups. In particular, an explicit form of Witten’s volume formula is provided. It is shown that various relations among special values of Euler–Zagier multiple zeta-functions—which usually are called multiple zeta values (MZVs) and are quite important in connection with Zagier’s conjecture—are just special cases of various functional relations among zeta-functions of root systems. The authors further provide other applications to the theory of MZVs and also introduce generalizations with Dirichlet characters, and with certain congruence conditions. The book concludes with a brief description of other relevant topics.
On The Global Theory Of Shintani Zeta Functions
DOWNLOAD
Author : Akihiko Yukie
language : de
Publisher:
Release Date : 1991
On The Global Theory Of Shintani Zeta Functions written by Akihiko Yukie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Elementary Theory Of L Functions And Eisenstein Series
DOWNLOAD
Author : Haruzo Hida
language : en
Publisher: Cambridge University Press
Release Date : 1993-02-11
Elementary Theory Of L Functions And Eisenstein Series written by Haruzo Hida 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 1993-02-11 with Mathematics categories.
The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.
Contributions To The Theory Of Zeta Functions
DOWNLOAD
Author : Shigeru Kanemitsu
language : en
Publisher: World Scientific
Release Date : 2014-12-15
Contributions To The Theory Of Zeta Functions written by Shigeru Kanemitsu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-15 with Mathematics categories.
This volume provides a systematic survey of almost all the equivalent assertions to the functional equations - zeta symmetry - which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions. This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions.
History Of Zeta Functions
DOWNLOAD
Author : Robert Spira
language : en
Publisher:
Release Date : 1999
History Of Zeta Functions written by Robert Spira and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Functions, Zeta categories.
On The Global Theory Of Shintani Zeta Functions
DOWNLOAD
Author : A. Yukie
language : en
Publisher:
Release Date : 1991
On The Global Theory Of Shintani Zeta Functions written by A. Yukie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Combinatorial Number Theory
DOWNLOAD
Author : Bruce Landman
language : en
Publisher: Walter de Gruyter
Release Date : 2013-08-29
Combinatorial Number Theory written by Bruce Landman and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-29 with Mathematics categories.
This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks. This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative combinatorics, elementary number theory, the theory of partitions, and integer sequences.