Multiplicative relations among singular moduli

We consider some diophantine problems of mixed modular-multiplicative type. In particular, we prove, for each n greater than or equal to 1, a finiteness result for n-tuples of singular moduli minimally satisfying a non-trivial multiplicative relation.

Opis bibliograficzny
Główni autorzy: Pila, J, Tsimerman, J
Format: Journal article
Wydane: arXiv 2014
Opis
Streszczenie:We consider some diophantine problems of mixed modular-multiplicative type. In particular, we prove, for each n greater than or equal to 1, a finiteness result for n-tuples of singular moduli minimally satisfying a non-trivial multiplicative relation.