Shintani Zeta Functions
(Book #183 in the London Mathematical Society Lecture Note Series)
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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.
Format:Paperback
Language:English
ISBN:0521448042
ISBN13:9780521448048
Release Date:February 1994
Publisher:Cambridge University Press
Length:352 Pages
Weight:1.11 lbs.
Dimensions:0.8" x 6.0" x 9.1"
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