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.
"synopsis" may belong to another edition of this title.
Seller: Row By Row Bookshop, Sugar Grove, NC, U.S.A.
Hardcover. Condition: Good. Dust Jacket Condition: No Dust Jacket. First U.S. Edition. An ex-library copy in tan cloth lettered in gold. The usual ex-libris markings, clean within. The binding is sound and there is little wear to the covers. No dust jacket. Ex-Library. Seller Inventory # 040695
Seller: monobooks, Waterford, MI, U.S.A.
Hardcover. Condition: Near Fine. No Jacket. 1st Edition. First edition 1989. Advanced Studies in Pure Mathematics Number 15. Ex-library with minimal library markings- stamp on the top edge and remnants of the sticker at the foot of the spine, small sticker at rea pastedown - No markings inside the book, no pockets no stamps. Hardcover in full cloth, no DJ. Condition fine, square and tight, no underlinings no highlights no bent page corners, Not a reminder. 8vo, XVI + 523 pages. Heavy book will require additional postage for international orders. Seller Inventory # 014996