By Hiroyuki Yoshida
The significant subject of this ebook is an invariant hooked up to an incredible category of a wholly actual algebraic quantity box. This invariant offers us with a unified figuring out of classes of abelian forms with advanced multiplication and the Stark-Shintani devices. it is a new perspective, and the booklet includes many new effects regarding it. to put those leads to right point of view and to provide instruments to assault unsolved difficulties, the writer provides systematic expositions of primary themes. hence the ebook 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 sort. The dialogue of every of those subject matters is more suitable via many examples. the vast majority of the textual content is written assuming a few familiarity with algebraic quantity conception. approximately thirty difficulties are incorporated, a few of that are really hard. The ebook is meant for graduate scholars and researchers operating in quantity concept and automorphic varieties.
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