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math.NT2018
Somme des chiffres et changement de base
Régis de la Bretèche, Thomas Stoll, Gérald Tenenbaum
Let denote the sum of digits of an integer in the base expansion. Answering, in a extended form, a question of Deshouillers, Habsieger, Laishram, and Landreau, we…
math.NT2018
Sommes de Gál et applications
Régis de la Bretèche, Gérald Tenenbaum
We evaluate the asymptotic size of various sums of Gál type, in particular where is a finite s…