Arithmetic formulas for the Fourier coefficients of Hauptmoduln of level 2, 3, and 5
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formulasarithmeticcoefficientshauptmodulnanaloguesasymptoticemployingfourier
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We give arithmetic formulas for the coefficients of Hauptmoduln of higher levels as analogues of Kaneko's result. We also obtain their asymptotic formulas by employing Murty-Sampath's method.
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