p-adic class invariants
We develop a new p-adic algorithm to compute the minimal polynomial of a class invariant. Our approach works for virtually any modular function yielding class invariants. The main algorithmic tool is modular polynomials, a concept which we generalize to functions of higher level.
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| Veröffentlicht in: | LMS journal of computation and mathematics 2011-01, Vol.14, p.108-126 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We develop a new p-adic algorithm to compute the minimal polynomial of a class invariant. Our approach works for virtually any modular function yielding class invariants. The main algorithmic tool is modular polynomials, a concept which we generalize to functions of higher level. |
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| ISSN: | 1461-1570 1461-1570 |
| DOI: | 10.1112/S1461157009000175 |