This article is available for purchase or by subscription. See below.
Abstract
|
We prove that for any prime
there is a divisible by
number
such that for a
certain positive integer
coprime with
the ratio
has
bounded partial quotients. In the other direction we show that there is an absolute constant
such that for
any prime
exist
divisible by
number
and
a number
,
coprime with
such that all partial
quotients of the ratio
are bounded by two.
|
PDF Access Denied
We have not been able to recognize your IP address
3.138.134.107
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
continued fractions, Zaremba's conjecture, growth in groups
|
Mathematical Subject Classification
Primary: 11B13, 11B75, 11E57, 11J70
|
Milestones
Received: 18 November 2019
Revised: 12 August 2020
Accepted: 1 September 2020
Published: 26 December 2020
|
|