By Hiroyuki Yoshida
The imperative subject of this ebook is an invariant hooked up to a fantastic classification of a unconditionally actual algebraic quantity box. This invariant presents us with a unified figuring out of sessions of abelian types with complicated multiplication and the Stark-Shintani devices. it is a new viewpoint, and the publication comprises many new effects regarding it. to put those leads to right standpoint and to provide instruments to assault unsolved difficulties, the writer provides systematic expositions of basic issues. hence the publication treats the a number of gamma functionality, the Stark conjecture, Shimura's interval image, absolutely the interval image, Eisenstein sequence on $GL(2)$, and a restrict formulation of Kronecker's variety. The dialogue of every of those issues is superior through many examples. the vast majority of the textual content is written assuming a few familiarity with algebraic quantity thought. approximately thirty difficulties are incorporated, a few of that are rather difficult. The publication is meant for graduate scholars and researchers operating in quantity concept and automorphic varieties.
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