This article is available for purchase or by subscription. See below.
Abstract
|
Problems related to arithmetic properties of linear forms in various irrational and
transcendental numbers, lower bounds for these linear forms, and approximation by
rational fractions with bounded denominators are very popular in transcendence
theory. We consider a new symmetric integral construction and prove a series of new
lower bounds for joint approximations of certain values of the functions
. Namely,
the integral construction of such a type allows us to obtain new bounds for the linear forms
with special
values of
,
.
|
PDF Access Denied
We have not been able to recognize your IP address
18.97.14.87
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
joint approximations, logarithmic function, arctangent
function, linear form
|
Mathematical Subject Classification
Primary: 11J13
|
Milestones
Received: 1 April 2024
Revised: 30 June 2024
Accepted: 16 July 2024
Published: 16 August 2024
|
© 2024 MSP (Mathematical Sciences
Publishers). |
|