On Infinitely Many Rational Approximants to ζ(3)

Arvesú Carballo, Jorge; Soria Lorente, Anier

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On Infinitely Many Rational Approximants to ζ(3)

Author(s): Arvesú Carballo, Jorge; Soria Lorente, Anier

Publisher: MDPI AG.

Issued date: 2019-12-03

Citation: Arvesú, J., & Soria-Lorente, A. (2019). On Infinitely Many Rational Approximants to ζ(3). In Mathematics (Vol. 7, Issue 12, p. 1176). MDPI AG.

ISSN: 2227-7390

DOI: https://doi.org/10.3390/math7121176

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Comunidad de Madrid
Agencia Estatal de Investigación (España)

Sponsor: The research of J.A. was funded by Agencia Estatal de Investigación of Spain, grant number PGC-2018-096504-B-C33 and Comunidad Autónoma de Madrid, grant number CC-G08-UC3M/ESP-4516.

Project: Gobierno de España. PGC2018-096504-B-C33
Comunidad de Madrid. CCG08-UC3M/ESP-4516

Keywords: Holonomic Difference Equation , Integer Sequences , Irrationality , Multiple Orthogonal Polynomials , Orthogonal Forms , Recurrence Relation , Simultaneous Rational Approximation

URI: http://hdl.handle.net/10016/35511

Rights: © 2019 by the authors. Licensee MDPI, Basel, Switzerland.
Atribución 3.0 España

Abstract:

A set of second order holonomic difference equations was deduced from a set of simultaneous rational approximation problems. Some orthogonal forms involved in the approximation were used to compute the Casorati determinants for its linearly independent solutio [+]

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