The distribution of integers with at least two divisors in a short interval

• Autores: Kevin Ford, Gérald Tenenbaum
• Localización: Quarterly journal of mathematics, ISSN 0033-5606, Vol. 58, Nº. 2, 2007, págs. 187-201
• Idioma: inglés
• DOI: 10.1093/qmath/ham001
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• Resumen

  • We estimate the density of integers which have more than one divisor in an interval (y, z] with z y + y/(log y)log 4 ¿ 1. As a consequence, we determine the precise range of z such that most integers which have at least one divisor in (y, z] have exactly one such divisor.