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Séminaire de Théorie Algorithmique des Nombres

A Pari/GP package for continued fractions

Henri Cohen

( IMB )

-

le 15 novembre 2022 à 10:00

I will describe with numerous examples a new Pari/GP package for infinite continued fractions which can in particular compute numerically the limit, the exact asymptotic speed of convergence (almost never given in the literature), accelerate continued fractions, and especially apply the powerful Apéry acceleration technique to almost all continued fractions, leading to hundreds of new ones.