On the computation of the modular equation (Q2778290)
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scientific article; zbMATH DE number 1719602
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the computation of the modular equation |
scientific article; zbMATH DE number 1719602 |
Statements
20 August 2002
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modular polynomial
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Yui's method
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algorithm
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On the computation of the modular equation (English)
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\textit{N. Yui} [J. Reine Angew. Math. 299/300, 185-200 (1978; Zbl 0368.14012)] outlined a method for determining the modular polynomial \(\Phi_n(X,J)\) when \(n\) is a prime. The authors extended Yui's method when \(n\) is the square of a prime [Rocky Mt. J. Math. 31, 185-195 (2001; Zbl 0998.11020)], and in this paper they give an elaborate algorithm that works for all prime powers. The method is illustrated with the case \(n=16\).
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