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math.NT2016
On Chudnovsky-Ramanujan Type Formulae
Imin Chen, Gleb Glebov
In a well-known 1914 paper, Ramanujan gave a number of rapidly converging series for which are derived using modular functions of higher level. D. V. and G. V. Chudnovsky in…
math.NT2016
A result on the equation using Frey abelian varieties
Nicolas Billerey, Imin Chen, Luis Dieulefait +1
We prove a diophantine result on generalized Fermat equations of the form which for the first time requires the use of Frey abelian varieties of dimension $\geq 2…