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arXiv · 2003.07204

Bound the difference of two singular moduli

Yulin Cai
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Abstract

For a fixed singular modulus $\alpha$, we give an effective lower bound of norm of $x-\alpha$ for another singular modulus $x$ with large discriminant. We then generalize this result for $\Phi_m(x,\alpha)$, where $\Phi_m(X,Y) \in \Z[X,Y]$ is the $m$-th modular polynomial.

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Yulin Cai. 2020-03-12. Bound the difference of two singular moduli. https://doi.org/10.2140/moscow.2021.10.95

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