KIAM Main page Web Library  •  Publication Searh   
Publication

KIAM Preprint  14, Moscow, 2022
Authors: Varin V.P.
Some applications of Brun's criterion
Abstract:
We consider some number-theoretic modifications of algorithms transforming rational sequences. These algorithms are widely applicable in numerical analysis. We use them for construction of the regular continued fractions for some fundamental constants. These algorithms together with the Bruns criterion allow in a number of cases to establish irrationality of the values algorithmically with the use of only the rational arithmetic.
Keywords:
Brun's criterion, regular continued fractions, irrationality proofs
Publication language: russian,  pages: 22
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
Export link to publication in format:   RIS    BibTeX
View statistics (updated once a day)
over the last 30 days 0 (-1), total hit from 14.03.2022 77
About authors:
  • Varin Victor Petrovich,  orcid.org/0000-0001-7324-1823KIAM RAS