On Behrend sequences

Author:

Hall R. R.,Tenenbaum G.

Abstract

Let denote a sequence of integers exceeding 1, and let τ(n, ) be the number of those divisors of n which belong to . We say that is a Behrend sequence ifwhere, here and in the sequel, we use the notation p.p. to indicate that a relation holds on a set of asymptotic density one.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. Divisors

2. On a result of R. R. Hall

3. Some unconventional problems in number theory;Erdõs;Astérisque,1979

4. The Propinquity of Divisors

5. Generalization of an inequality of Heilbronn and Rohrbach

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1. Almost Convergent 0-1-Sequences and Primes;Siberian Mathematical Journal;2023-11

2. Some of Erdős’ Unconventional Problems in Number Theory, Thirty-four Years Later;Bolyai Society Mathematical Studies;2013

3. Ensembles de multiples de suites finies;Discrete Mathematics;1999-04

4. On block Behrend sequences;Mathematical Proceedings of the Cambridge Philosophical Society;1996-08

5. A note on Behrend sequences;Acta Mathematica Hungarica;1996

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