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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
Large Algebraic Integers
Denis Simon, Lea Terracini
An algebraic integer is said large if all its real or complex embeddings have absolute value larger than . An integral ideal is said \emph{large} if it admits a large generator.…