Multiplicative relations among singular moduli
Number Theory
2014-12-30 v1 Logic
Abstract
We consider some Diophantine problems of mixed modular-multiplicative type associated with the Zilber-Pink conjecture. In particular, we prove a finiteness statement for the number of multiplicative relations between singular moduli (j-invariants of elliptic curves with complex multiplication.)
Cite
@article{arxiv.1412.8260,
title = {Multiplicative relations among singular moduli},
author = {Jonathan Pila and Jacob Tsimerman},
journal= {arXiv preprint arXiv:1412.8260},
year = {2014}
}
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