Hermitian quadratic forms and Hermitian modular forms

David Mordecai Cohen and Howard Leonard Resnikoff

Vol. 76 (1978), No. 2, 329–337

DOI: 10.2140/pjm.1978.76.329

Abstract

It is shown that if H is a positive definite Hermitian quadratic form in r variables which is even integral over the imaginary quadratic field of discriminant −d and if detH = 2^rd^−r∕2, then 4 divides r.

Mathematical Subject Classification

Primary: 10D20, 10D20

Secondary: 10C05

Milestones

Received: 28 January 1977

Revised: 13 September 1977

Published: 1 June 1978