p-adic class invariants

Author:

Bröker Reinier

Abstract

AbstractWe 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.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

Reference24 articles.

1. Elliptic Functions

2. Diophantine Geometry

3. [22] Sutherland A. V. , ‘Computing Hilbert class polynomials with the Chinese remainder theorem’ Math. Comp., to appear, available at http://arxiv.org/abs/0903.2785.

4. Modular curves of composite level

5. The complexity of class polynomial computation via floating point approximations

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Class polynomials for nonholomorphic modular functions;Journal of Number Theory;2016-04

2. On the evaluation of modular polynomials;The Open Book Series;2013-11-14

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