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math.NT2022
Quaternionic -adic continued fractions
Laura Capuano, Marzio Mula, Lea Terracini
We develop a theory of -adic continued fractions for a quaternion algebra over ramified at a rational prime . Many properties holding in the commutative case…
math.NT2022★ 1 cited
Greatest Common Divisor results on semiabelian varieties and a Conjecture of Silverman
Fabrizio Barroero, Laura Capuano, Amos Turchet
A divisibility sequence is a sequence of integers such that divides if divides . Results of Bugeaud, Corvaja, Zannier, among others, have shown that th…