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arXiv · 1412.8260

Multiplicative relations among singular moduli

Jonathan Pila·Jacob Tsimerman
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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.)

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Jonathan Pila, Jacob Tsimerman. 2014-12-29. Multiplicative relations among singular moduli. https://arxiv.org/abs/1412.8260

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