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Shintani Zeta Functions Akihiko Yukie

Shintani Zeta Functions

Akihiko Yukie

Published February 3rd 1994
ISBN : 9780521448048
Paperback
352 pages
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 About the Book 

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. This is the first book on this topic, and represents the authors deep study of prehomogeneous vectorMoreThe theory of prehomogeneous vector spaces is a relatively new subject although its origin can be traced back through the works of Siegel to Gauss. This is the first book on this topic, and represents the authors deep study of prehomogeneous vector spaces. Here the authors aim is to generalize Shintanis 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.