Six Short Chapters on Automorphic Forms and L-functions

Ze-Li Dou, Qiao Zhang (Autoren)

Buch | Hardcover

XI, 123 Seiten

2012 | 2012
Springer Berlin (Verlag)
978-3-642-28707-7 (ISBN)

Infos

"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.

Inhalt

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.

Produkt-Details

• Zusatzinfo: XI, 123 p.
• Verlagsort: Berlin
• Sprache: englisch
• Maße: 155 x 235 mm
• Gewicht: 332 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Schlagworte: Automorphe Formen • automorphic forms • Funktion (Mathematik) • L-functions • multiple Dirichlet series • Theta correspondence • Zeta functions
• ISBN-10: 3-642-28707-7 / 3642287077
• ISBN-13: 978-3-642-28707-7 / 9783642287077
• Zustand: Neuware