Remarks on automata, functional equations and transcendence
An infinite product with bounded partial quotients
A note on the zeros of exponential polynomials
Effective approximation of algebraic numbers, d'après Enrico Bombieri
Factorisation in fractional powers
Some infinite products with interesting continued fraction expansions
We display several infinite products with interesting continued fraction expansions. Specifically, for various small values of necessarily excluding since that case cannot occur, we display infinite products in the field of formal power series whose truncations yield their every -th convergent.
Nombre de zéros des fonctions exponentielles-polynômes
On certain continued fraction expansions of fixed period length
Effective measures of irrationality for cubic extensions of number fields
Halfway to a solution of
It is well known that the continued fraction expansion of readily displays the midpoint of the principal cycle of ideals, that is, the point halfway to a solution of . Here we notice that, analogously, the point halfway to a solution of can be recognised. We explain what is going on.
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