Université de Lorraine

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math.NT2017

Inégalité de Turán-Kubilius friable et indépendance asymptotique

Régis de la Bretèche, Youness Lamzouri, Gérald Tenenbaum

Elaborating on previous works and taking advantage of estimates on the local behaviour of the counting function of friable integers, we determine the optimal range in which the fri…

math.NT2017

On subwords in the base- $q$ expansion of polynomial and exponential functions

Hajime Kaneko, Thomas Stoll

Let $w$ be any word over the alphabet ${0, 1, \dots, q - 1}$ , and denote by $h$ either a polynomial of degree $d \geq 1$ or $h : n \mapsto m^{n}$ for a fixed $m$ . Furthermore, denote by…

math.NT2017

Large odd order character sums and improvements of the Pólya-Vinogradov inequality

Youness Lamzouri, Alexander P. Mangerel

For a primitive Dirichlet character $χ$ modulo $q$ , we define $M (χ) = max_{t} ∣ \sum_{n \leq t} χ (n) ∣$ . In this paper, we study this quantity for characters of a fixed odd order $g\…

Inégalité de Turán-Kubilius friable et indépendance asymptotique

On subwords in the base-q expansion of polynomial and exponential functions

Large odd order character sums and improvements of the Pólya-Vinogradov inequality

On subwords in the base- $q$ expansion of polynomial and exponential functions