Vol. 90, No. 2, 1980

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Arithmetic sums that determine linear characters on Γ(N)

Randy Tuler

Vol. 90 (1980), No. 2, 469–473
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
Authors
Randy Tuler