Ondřej Kolouch ; Lukáš Novotný - Diophantine Approximations of Infinite Series and Products

cm:9452 - Communications in Mathematics, August 20, 2016, Volume 24 (2016), Issue 1 - https://doi.org/10.1515/cm-2016-0006
Diophantine Approximations of Infinite Series and ProductsArticle

Authors: Ondřej Kolouch ORCID; Lukáš Novotný ORCID


This survey paper presents some old and new results in Diophantine approximations. Some of these results improve Erdos’ results on irrationality. The results in irrationality, transcendence and linear independence of infinite series and infinite products are put together with idea of irrational sequences and expressible sets.

https://doi.org/10.1515/cm-2016-0006
Source: HAL:hal-03664902v1
Volume: Volume 24 (2016), Issue 1
Published on: August 20, 2016
Imported on: May 11, 2022
Keywords: [MATH]Mathematics [math]
Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Funding:
    Source : OpenAIRE Graph
  • Lie groups, differential equations and geometry; Funder: European Commission; Code: 317721

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