The Theory of Jacobi Forms

by Martin Eichler and Don B. Zagier

Book Overview

The functions studied in this monogra9h are a cross between elliptic functions and modular forms in one variable. Specifically, we define a Jacobi form on SL ( ) to be a holomorphic function 2 (JC = upper half-plane) satisfying the t\-10 transformation eouations 2Tiimcz- k CT ]d a-r +b z ) (1) ( (cT+d) e cp(T, z) cp CT +d ' CT +d (2) rjl(T, z+h+]l) and having a Four-ier expansion of the form 00 e2Tii(nT +rz) (3) cp(T, z) 2: c(n, r) 2:: rE n=O 2 r...

• Format: Paperback
• Language: English
• ISBN: 1468491644
• ISBN13: 9781468491647
• Release Date: September 2013
• Publisher: Birkhauser
• Length: 150 Pages
• Weight: 0.64 lbs.
• Dimensions: 0.3" x 7.0" x 10.0"