Automorphic Forms and Geometry of Arithmetic Varieties: Advanced Studies in Pure Mathematics, Vol. 15

Hashimoto, K. (Editor) / Namikawa, Y. (Series Editor)

ISBN 10: 1483204642 / ISBN 13: 9781483204642

Published by Academic Press, 2014

About this Item

540 pages. 9.50x6.25x1.22 inches. In Stock.

Seller Inventory # zk1483204642

Bibliographic Details

• Title: Automorphic Forms and Geometry of Arithmetic Varieties: Advanced Studies in Pure Mathematics, Vol. 15
• Publisher: Academic Press
• Publication Date: 2014
• Language: English
• ISBN 10: 1483204642
• ISBN 13: 9781483204642
• Binding: Paperback
• Condition: Brand New
• Weight: 0.98 kilograms

About this title

Synopsis

Automorphic Forms and Geometry of Arithmetic Varieties deals with the dimension formulas of various automorphic forms and the geometry of arithmetic varieties. The relation between two fundamental methods of obtaining dimension formulas (for cusp forms), the Selberg trace formula and the index theorem (Riemann-Roch's theorem and the Lefschetz fixed point formula), is examined.Comprised of 18 sections, this volume begins by discussing zeta functions associated with cones and their special values, followed by an analysis of cusps on Hilbert modular varieties and values of L-functions. The reader is then introduced to the dimension formula of Siegel modular forms; the graded rings of modular forms in several variables; and Selberg-Ihara's zeta function for p-adic discrete groups. Subsequent chapters focus on zeta functions of finite graphs and representations of p-adic groups; invariants and Hodge cycles; T-complexes and Ogata's zeta zero values; and the structure of the icosahedral modular group.This book will be a useful resource for mathematicians and students of mathematics.