Effective bounds on differences of singular moduli that are <i>S</i>-units
نویسندگان
چکیده
Given a singular modulus $j_0$ and set of rational primes $S$, we study the problem effectively determining moduli $j$ such that $j-j_0$ is an $S$-unit. For every $j_0 \neq 0$, provide effective way finding this for infinitely many choices $S$. The same true if $j_0=0$ assume Generalized Riemann Hypothesis. Certain numerical experiments will also lead to formulation "uniformity conjecture" $S$-units.
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ژورنال
عنوان ژورنال: Mathematical proceedings of the Cambridge Philosophical Society
سال: 2022
ISSN: ['0305-0041', '1469-8064']
DOI: https://doi.org/10.1017/s0305004122000378