Johannes Schleischitz - On a question of Schmidt and Summerer concerning 3-systems

cm:9502 - Communications in Mathematics, January 5, 2021, Volume 28 (2020), Issue 3 - https://doi.org/10.2478/cm-2020-0007
On a question of Schmidt and Summerer concerning 3-systemsArticle

Authors: Johannes Schleischitz

    Following a suggestion of W.M. Schmidt and L. Summerer, we construct a proper 3-system (P 1,P 2,P 3) with the property ̄φ 3 = 1. In fact, our method generalizes to provide n-systems with ̄φn = 1, for arbitrary n ≥ 3. We visualize our constructions with graphics. We further present explicit examples of numbers ξ 1,...,ξn −1 that induce the n-systems in question.


    Volume: Volume 28 (2020), Issue 3
    Published on: January 5, 2021
    Imported on: May 11, 2022
    Keywords: General Mathematics,[MATH]Mathematics [math]
    Funding:
      Source : OpenAIRE Graph
    • Diophantine approximation and related topics; Funder: Austrian Science Fund (FWF); Code: J 3824

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