Sur la proximité des diviseurs des entiers

Raouj, Abdelaziz; Stef, André

doi:10.1006/jnth.1998.2355

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1999

2017

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Both of these number-theoretical statements were established nearly 20 years ago by Raouj and Stef [13]. In fact, rather more precise statements are established in that paper.…”

Section: Introductionmentioning

confidence: 75%

Invariable generation of the symmetric group

Eberhard¹,

Ford²,

Green³

2017

Duke Math. J.

View full text Add to dashboard Cite

Abstract. We say that permutations π 1 , . . . , π r ∈ S n invariably generate S n if, no matter how one chooses conjugates πWe show that if π 1 , π 2 , π 3 are chosen randomly from S n then, with probability tending to 1 as n → ∞, they do not invariably generate S n . By contrast it was shown recently by Pemantle, Peres and Rivin that four random elements do invariably generate S n with probability bounded away from zero. We include a proof of this statement which, while sharing many features with their argument, is short and completely combinatorial.

show abstract

“…Both of these number-theoretical statements were established nearly 20 years ago by Raouj and Stef [13]. In fact, rather more precise statements are established in that paper.…”

Section: Introductionmentioning

confidence: 75%