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On the cuspidal spectrum of the arithmetic Hecke groups

On the cuspidal spectrum of the arithmetic Hecke groups

Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal upper Gamma left-parenthesis StartRoot m EndRoot right-parenthesis left-parenthesis m equals 1 comma 2 comma 3 right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi mathvariant="normal">Γ<!-- Γ --></mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:msqrt> <mml:mi>m</mml:mi> </mml:msqrt> <mml:mo stretchy="false">)</mml:mo> <mml:mspace width="thickmathspace" /> <mml:mo stretchy="false">(</mml:mo> <mml:mi>m</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mn>3</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> …