MARNAT, A., & Moshchevitin, N. (2025). On geometry of simultaneous approximation to three real numbers. MOSCOW MATHEMATICAL JOURNAL, 25(1), 33–61. https://doi.org/DOI:10.17323/1609-4514-2025-25-1-33-61
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
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Journal:
MOSCOW MATHEMATICAL JOURNAL
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ISSN:
1609-3321
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Date (published):
2025
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Number of Pages:
29
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Publisher:
INDEPENDENT UNIV MOSCOW-IUM
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Peer reviewed:
Yes
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Keywords:
simultaneous approximation; Diophantine exponents; best approximations
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Abstract:
Considering simultaneous approximation to three numbers, we study the geometry of the sequence of the best approximations. We provide a sharper lower bound for the ratio of ordinary and uniform exponent of Diophantine approximation, optimal in terms of this geometry.
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Project title:
Geometrie der Zahlen in Diophantischer Approximation: PAT1961524 (FWF - Österr. Wissenschaftsfonds)
