Arithmetic properties of positive integers with fixed digit sum.

Luca, Florian. "Arithmetic properties of positive integers with fixed digit sum.." Revista Matemática Iberoamericana 22.2 (2006): 369-412. <http://eudml.org/doc/41978>.

@article{Luca2006,
abstract = {In this paper, we look at various arithmetic properties of the set of those positive integers n whose sum of digits in a fixed base b &gt; 1 is a fixed positive integer s. For example, we prove that such integers can have many prime factors, that they are not very smooth, and that most such integers have a large prime factor dividing the value of their Euler φ function.},
author = {Luca, Florian},
journal = {Revista Matemática Iberoamericana},
keywords = {Números enteros; Teoría multiplicativa de números; Teoría elemental de números; Sum of digits; smooth numbers},
language = {eng},
number = {2},
pages = {369-412},
title = {Arithmetic properties of positive integers with fixed digit sum.},
url = {http://eudml.org/doc/41978},
volume = {22},
year = {2006},
}

TY - JOUR
AU - Luca, Florian
TI - Arithmetic properties of positive integers with fixed digit sum.
JO - Revista Matemática Iberoamericana
PY - 2006
VL - 22
IS - 2
SP - 369
EP - 412
AB - In this paper, we look at various arithmetic properties of the set of those positive integers n whose sum of digits in a fixed base b &gt; 1 is a fixed positive integer s. For example, we prove that such integers can have many prime factors, that they are not very smooth, and that most such integers have a large prime factor dividing the value of their Euler φ function.
LA - eng
KW - Números enteros; Teoría multiplicativa de números; Teoría elemental de números; Sum of digits; smooth numbers
UR - http://eudml.org/doc/41978
ER -