Shintani Zeta Functions
Book Details
Format
Paperback / Softback
Book Series
London Mathematical Society Lecture Note Series
ISBN-10
0521448042
ISBN-13
9780521448048
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Feb 3rd, 1994
Print length
352 Pages
Weight
502 grams
Dimensions
15.50 x 22.70 x 1.70 cms
Product Classification:
Calculus & mathematical analysisCalculus and mathematical analysis
Ksh 14,400.00
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This is amongst the first books on the theory of prehomogeneous vector spaces, and represents the author's deep study of the subject.
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.
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