Publication:
Degree of independence of numbers

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Issued Date

2021

Resource Type

Article

Language

eng

File Type

application/pdf

ISSN

1399918

DOI

10.1515/ms-2021-0007

Other identifier(s)

2-s2.0-85108344884

Rights Holder(s)

Scopus

Bibliographic Citation

Mathematica Slovaca. Vol 71, No.3 (2021), p.615-626

Suggested Citation

Rattanamoong J., Laohakosol V. Degree of independence of numbers. Mathematica Slovaca. Vol 71, No.3 (2021), p.615-626. doi:10.1515/ms-2021-0007 Retrieved from: https://hdl.handle.net/20.500.14740/7458

Title

Degree of independence of numbers

Author(s)

Rattanamoong J.
 Laohakosol V.

Abstract

A new concept of independence of real numbers, called degree independence, which contains those of linear and algebraic independences, is introduced. A sufficient criterion for such independence is established based on a 1988 result of Bundschuh, which in turn makes use of a generalization of Liouville's estimate due to Feldman in 1968. Applications to numbers represented by Cantor series and product expansions are derived. © 2021 Mathematical Institute Slovak Academy of Sciences

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URI

https://hdl.handle.net/20.500.14740/7458

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Scopus: Year 1983-2021

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