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Irrationality measures for almost periodic continued fractions
This paper deals with the irrationality measure for almost periodic continued fractions. Irrationality measure for the number e is included....
BA - Obecná matematika
- 2016 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Continued fractional measure of irrationality
The paper deals with the measure of irrationality for continued fractions.
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On irrationality exponents of generalized continued fractions
The paper deals with the irrationality measure for general continued fractions.
BA - Obecná matematika
- 2015 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Irrationality measures for continued fractions with arithmetic functions.
The paper deals with the irrationality measure of special continued fractions connected with arithmetic functions.
BA - Obecná matematika
- 2015 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
New asymptotic irrationality measure for $e$ and other numbers
We present a new irrationality measure for simple periodic continued fractions. Some applications for numbers $e$, $e^2$, tanh 1 are included too....
BA - Obecná matematika
- 2015 •
- O
Rok uplatnění
O - Ostatní výsledky
Asymptotic irrationality measure for almost periodic continued fractions
The talk deals with the asymptotic irrationality measure for almost periodic continued fractions. Some applications for Napier's constant and related numbers are included....
BA - Obecná matematika
- 2015 •
- O
Rok uplatnění
O - Ostatní výsledky
A note to the irrationality measure
The paper deals with lower estimates for the irrationality measure of the sum of a special series. The result depends only on the form of convergence and does not make use of divisibility properties of integers or any algebraic iden...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Explicit irrationality measures for continued fractions
We give the general method how to find the explicit irrationality measure for the numbers when we know something about their simple continued fraction expansion and apply this for the Siegel's constant, Napier's constant e....
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
New Bounds for Irrationality Measures of Some Fast Converging Series
This paper presents new upper bounds for irrationality measures of some fast converging series of rational numbers. The results depend only on the speed of convergence of the series and do not depend on the arithmetical properties o...
BA - Obecná matematika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Irrationality measures for continued fractions with asymptotic conditions
We are interested in the lower and upper bounds of asymptotic irrationality measures for certain simple continued fractions. The general procedure for estimation of numbers by rationals is described. It is applied for simple continu...
BA - Obecná matematika
- 2016 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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