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2003 How to Compute the Coefficients of the Elliptic Modular Function j(z)
Harald Baier, Günter Köhler
Experiment. Math. 12(1): 115-128 (2003).

Abstract

We discuss various methods to compute the Fourier coefficients of the elliptic modular function j(z). We present run times to compute the coefficients in practice. If possible, we discuss the theoretical complexity of the corresponding method, too. We conclude that, in practice, an approach due to Kaneko and Zagier turns out to be most efficient.

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Harald Baier. Günter Köhler. "How to Compute the Coefficients of the Elliptic Modular Function j(z)." Experiment. Math. 12 (1) 115 - 128, 2003.

Information

Published: 2003
First available in Project Euclid: 29 September 2003

zbMATH: 1053.11041
MathSciNet: MR2002678

Subjects:
Primary: 42A16
Secondary: 11F03

Keywords: Algorithmic number theory , elliptic modular function $j$ , Fourier coefficients , Fourier series

Rights: Copyright © 2003 A K Peters, Ltd.

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Vol.12 • No. 1 • 2003
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