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arxiv: 1412.8260 · v1 · pith:V7IRA57Znew · submitted 2014-12-29 · 🧮 math.NT · math.LO

Multiplicative relations among singular moduli

classification 🧮 math.NT math.LO
keywords modulimultiplicativerelationssingularassociatedcomplexconjectureconsider
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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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