Mathematical Proceedings of the Cambridge Philosophical Society

Table of Contents - 1966 - Volume 62, Issue 03  

Research Article

Binary integral quadratic forms over R(t)

James T. Knighta1

a1 Trinity College, Cambridge

We use the notations and definitions of the introduction to the previous paper ((1)), and say that 2 lattices K and L on a quadratic space over R(t) with its Dedekind set C are in the same genus if, for all S0305004100040020_inline001, the lattices S0305004100040020_inline002 and S0305004100040020_inline003 are in the same class. We mean to count the number of classes of lattices in a given genus over a binary space: we shall find that it is either 1 or S0305004100040020_inline004.

(Received November 16 1965)