Localisation Conditionnelle de Diviseurs

Régis de la Bretèche () and Gérald Tenenbaum ()
Additional contact information
Régis de la Bretèche: Université Paris Diderot-Paris 7, Institut de Mathématiques de Jussieu-PRG, UMR 7586
Gérald Tenenbaum: Université de Lorraine, Institut Élie Cartan

A chapter in From Arithmetic to Zeta-Functions, 2016, pp 41-55 from Springer

Abstract: Abstract In support of a still little known, general principle according to which the structure of the set of prime factors of an integer is statistically governed by its actual cardinal, we show that, given any ɛ > 0, the conditional probability that an integer with exactly k prime factors has a divisor in a dyadic interval ]y, 2y] approaches 0 as y → ∞ if 2(1+ɛ)k logy.

Keywords: Distribution of divisors; Integers with k prime factors; Primary; 11N25 (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-28203-9_3

Ordering information: This item can be ordered from
http://www.springer.com/9783319282039

DOI: 10.1007/978-3-319-28203-9_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().