Copyright c © 2013 L. A. Gutnik. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We found a series of continued fractions for zeta(3) parametrized by some family of pairs of sequences F, G. Two members of this series are present here; they are different from Apéry-Nesterenko continued fraction
In this report I sanitise (in the sense of ‘bring some sanity to’) the arguments of earlier reports ...
33 pages, no figures.-- MSC2000 codes: Primary 42C05, 11B37, 11J72, 11M06; Secondary 30B70, 11A55, 1...
AbstractWe investigate a one-parameter family of infinite generalised continued fractions. The fract...
Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any m...
Yu. V. Nesterenko has proved that ζ(3)=b0+a1|/|b1+⋯+aν|/|bν+⋯...
Abstract: We deduce a difference system and prove some of its properties, on base of which we found ...
We show how to obtain infinitely many continued fractions for certain Z-linear combinations of zeta ...
Continued fractions provide a very effective toolset for approximating functions. Usually the contin...
Abstract. The Riemann zeta function at integer arguments can be written as an infinite sum of certai...
Inspired by the results of Rhin and Viola (2001), the purpose of this work is to elaborate on a seri...
We display a number with a surprising continued fraction expansion and show that we may explain that...
International audienceWe explicitly describe a noteworthy transcendental continued fraction in the f...
AbstractThe continued fraction expansion for a quartic power series over the finite field F13 was co...
The study of arithmetical continued fractions has been restricted, for the most part, to the investi...
Abstract: We detail the continued fraction expansion of the square root of a monic polynomials of ev...
In this report I sanitise (in the sense of ‘bring some sanity to’) the arguments of earlier reports ...
33 pages, no figures.-- MSC2000 codes: Primary 42C05, 11B37, 11J72, 11M06; Secondary 30B70, 11A55, 1...
AbstractWe investigate a one-parameter family of infinite generalised continued fractions. The fract...
Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any m...
Yu. V. Nesterenko has proved that ζ(3)=b0+a1|/|b1+⋯+aν|/|bν+⋯...
Abstract: We deduce a difference system and prove some of its properties, on base of which we found ...
We show how to obtain infinitely many continued fractions for certain Z-linear combinations of zeta ...
Continued fractions provide a very effective toolset for approximating functions. Usually the contin...
Abstract. The Riemann zeta function at integer arguments can be written as an infinite sum of certai...
Inspired by the results of Rhin and Viola (2001), the purpose of this work is to elaborate on a seri...
We display a number with a surprising continued fraction expansion and show that we may explain that...
International audienceWe explicitly describe a noteworthy transcendental continued fraction in the f...
AbstractThe continued fraction expansion for a quartic power series over the finite field F13 was co...
The study of arithmetical continued fractions has been restricted, for the most part, to the investi...
Abstract: We detail the continued fraction expansion of the square root of a monic polynomials of ev...
In this report I sanitise (in the sense of ‘bring some sanity to’) the arguments of earlier reports ...
33 pages, no figures.-- MSC2000 codes: Primary 42C05, 11B37, 11J72, 11M06; Secondary 30B70, 11A55, 1...
AbstractWe investigate a one-parameter family of infinite generalised continued fractions. The fract...
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