On a lower bound for ‖(4/3)k‖

DOI10.1142/S1793042115500177zbMath1326.11034arXiv1404.3480MaRDI QIDQ2941084

Yu. A. Pupyrev

Publication date: 21 January 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.3480

zbMATH Keywords

Padé approximationlower boundWaring's problemStirling's formulae

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Small fractional parts of polynomials and generalizations (11J54) Farey sequences; the sequences (1^k, 2^k, dots) (11B57) Homogeneous approximation to one number (11J04)

Cites Work

• Effectivization of a lower bound for \(\| (4/3)^k\| \)
• A new lower bound for \(\|(3/2)^k\|\)

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