Sums of the digits in bases 2 and 3
Idioma
en
Chapitre d'ouvrage
Este ítem está publicado en
Number theory—Diophantine problems, uniform distribution and applications, Number theory—Diophantine problems, uniform distribution and applications. 2017p. 211-217
Springer
Resumen en inglés
Let b ≥ 2 be an integer and let s b (n) denote the sum of the digits of the representation of an integer n in base b. For sufficiently large N , one has Card{n ≤ N : |s 3 (n) − s 2 (n)| ≤ 0.1457205 log n} > N 0.970359. The ...Leer más >
Let b ≥ 2 be an integer and let s b (n) denote the sum of the digits of the representation of an integer n in base b. For sufficiently large N , one has Card{n ≤ N : |s 3 (n) − s 2 (n)| ≤ 0.1457205 log n} > N 0.970359. The proof only uses the separate (or marginal) distributions of the values of s 2 (n) and s 3 (n).< Leer menos
Palabras clave en inglés
sums of digits
expansion in bases 2 and 3
Proyecto ANR
Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
Orígen
Importado de HalCentros de investigación