NAME: Bruce C. Berndt (with K. Venkatachaliengar) TITLE: On the Transformation Formula for the Dedekind Eta-Function ADDRESS: Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL 61801 EMAIL: berndt@math.uiuc.edu ABSTRACT: A new simple proof of the transformation formula for the Dedekind eta-function is given. Some connections with certain infinite series are made. ===========================================================