Rational Products of Singular Moduli
Yuri Bilu, Florian Luca, Amalia Pizarro-Madariaga
TL;DR
This paper identifies pairs of singular moduli whose products are rational numbers, advancing understanding of special algebraic values related to modular functions.
Contribution
It provides a complete classification of singular moduli pairs with rational products, a novel result in the theory of singular moduli.
Findings
Classified all pairs of singular moduli with rational products
Established explicit criteria for rational products
Contributed to the understanding of algebraic properties of singular moduli
Abstract
We determine couples of singular moduli which have rational products
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Taxonomy
TopicsAnalytic Number Theory Research · Rings, Modules, and Algebras · Mathematics and Applications