Arithmetic sums that determine linear characters on Γ(N)

Randy Tuler

Vol. 90 (1980), No. 2, 469–473

DOI: 10.2140/pjm.1980.90.469

Abstract

A new class of arithmetic sums is defined and used to explicitly exhibit linear characters on Γ(N), the principal congruence subgroup of level N in SL(2,Z). As an application of this, we get a striking result on the structure of the commutator subgroup of Γ(N).

Mathematical Subject Classification

Primary: 10G15, 10G15

Secondary: 10D07

Milestones

Received: 30 October 1979

Published: 1 October 1980