Arithmetic formulas for the Fourier coefficients of Hauptmoduln of level 2, 3, and 5

Toshiki Matsusaka; Ryotaro Osanai

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arXiv · 1602.06532

Arithmetic formulas for the Fourier coefficients of Hauptmoduln of level 2, 3, and 5

Toshiki Matsusaka·Ryotaro Osanai

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Abstract

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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Toshiki Matsusaka, Ryotaro Osanai. 2016-02-21. Arithmetic formulas for the Fourier coefficients of Hauptmoduln of level 2, 3, and 5. https://arxiv.org/abs/1602.06532

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