Hecke eigenforms and representation numbers of quadratic forms

Lynne Walling

Vol. 151 (1991), No. 1, 179–200

DOI: 10.2140/pjm.1991.151.179

Abstract

Using the theory of modular forms and Hecke operators, we obtain arithmetic relations on average representation numbers of positive definite quadratic forms in an even number of variables.

Mathematical Subject Classification 2000

Primary: 11F41

Secondary: 11E45, 11F27

Milestones

Received: 22 January 1990

Revised: 18 October 1990

Published: 1 November 1991