Effectivization of a lower bound for \(\| (4/3)^k\| \)

DOI10.1134/S0001434609050289zbMath1230.11088MaRDI QIDQ1034007

Yu. A. Pupyrev

Publication date: 10 November 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Diophantine inequalitieseffective boundsPadé approximation.

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Small fractional parts of polynomials and generalizations (11J54)

Related Items (1)

On a lower bound for ‖(4/3)^k‖

Cites Work

• A new lower bound for \(\|(3/2)^k\|\)
• On the Computation of g(k) in Waring's Problem
• Fractional parts of powers of rationals
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• Fractional parts of powers of rational numbers
• An ideal Waring problem with restricted summands
• Explicit lower bounds for ||(3/2)^k||
• Extending Waring's Conjecture to 471,600,000
• On the fractional parts of the powers of a rational number (II)
• Fractional parts of powers of rationals

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