Arithmetic properties of positive integers with fixed digit sum

• Autores: Florian Luca
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 22, Nº 2, 2006, págs. 369-412
• Idioma: inglés
• DOI: 10.4171/rmi/461
• Títulos paralelos:
  • Propiedades aritméticas de enteros positivos con suma de cifras fija
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• Resumen

  • 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 f function.