Fractional parts of powers of rational numbers

DOI10.1017/S0305004100071528zbMath0791.11030MaRDI QIDQ4277210

Michael A. Bennett

Publication date: 1993

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Padé approximationWaring's problemfractional parts of powers of rationals

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Diophantine inequalities (11J25) Small fractional parts of polynomials and generalizations (11J54) Distribution modulo one (11J71)

Related Items (8)

A new lower bound for \(\|(3/2)^k\|\) ⋮ Starting with gaps between k-free numbers ⋮ Computers as a novel mathematical reality. II: Waring's problem ⋮ Quantitative uniform distribution results for geometric progressions ⋮ On the factorization of consecutive integers ⋮ ON THE FACTORISATION OF ⋮ Effectivization of a lower bound for \(\| (4/3)^k\| \) ⋮ Pillai's conjecture revisited.

Cites Work

• Unnamed Item
• A lower bound for the quantity ||(3/2)^k||
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• Extending Waring's Conjecture to 471,600,000

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