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Six Short Chapters on Automorphic Forms and L-functions [electronic resource] /by Ze-Li Dou, Qiao Zhang.

by Dou, Ze-Li [author.]; Zhang, Qiao [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg : 2012.Description: XI, 123 p. online resource.ISBN: 9783642287084.Subject(s): Mathematics | Geometry, algebraic | Number theory | Mathematics | Number Theory | Algebraic GeometryDDC classification: 512.7 Online resources: Click here to access online
Contents:
Modular forms and the Shimura-Taniyama Conjecture -- Periods of automorphic forms -- Lifting of automorphic forms -- Zeros of L-functions -- Special Values of L-functions -- Theta lifts and periods with respect to a quadratic extension.
In: Springer eBooksSummary: "Six Short Chapters on Automorphic Forms and L-functions" treats the period conjectures of Shimura and the moment conjecture. These conjectures are of central importance in contemporary number theory, but have hitherto remained little discussed in expository form. The book is divided into six short and relatively independent chapters, each with its own theme, and presents a motivated and lively account of the main topics, providing professionals an overall view of the conjectures and providing researchers intending to specialize in the area a guide to the relevant literature. Ze-Li Dou and Qiao Zhang are both associate professors of Mathematics at Texas Christian University, USA.
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Modular forms and the Shimura-Taniyama Conjecture -- Periods of automorphic forms -- Lifting of automorphic forms -- Zeros of L-functions -- Special Values of L-functions -- Theta lifts and periods with respect to a quadratic extension.

"Six Short Chapters on Automorphic Forms and L-functions" treats the period conjectures of Shimura and the moment conjecture. These conjectures are of central importance in contemporary number theory, but have hitherto remained little discussed in expository form. The book is divided into six short and relatively independent chapters, each with its own theme, and presents a motivated and lively account of the main topics, providing professionals an overall view of the conjectures and providing researchers intending to specialize in the area a guide to the relevant literature. Ze-Li Dou and Qiao Zhang are both associate professors of Mathematics at Texas Christian University, USA.

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