Dedekind Sums and Noncongruence Subgroups of the Hecke Groups G(√2) and G(√3)

Abstract

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Multiplier systems

“…(A technical condition, namely that υ(−I) = + exp{πi(α − β)}, is frequently required so that nontrivial forms with that multiplier exist [14,6,9,22,23]. Since the present paper is concerned with multiplier systems themselves, we impose no such restriction.…”