# Arithmetic properties of positive integers with fixed digit sum.

Revista Matemática Iberoamericana (2006)

- Volume: 22, Issue: 2, page 369-412
- ISSN: 0213-2230

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topLuca, 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 > 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 > 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 -

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