The sequence \(x/n\) and its subsequences

DOI10.1216/rmjm/1181072023zbMath0881.11060OpenAlexW2071222125MaRDI QIDQ1359134

Roger C. Baker, Glyn Harman

Publication date: 26 February 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/vol26-3/contents/contents.htm

zbMATH Keywords

simultaneous approximationsparsely totient numberssmall fractional parts

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Small fractional parts of polynomials and generalizations (11J54) Distribution modulo one (11J71)

Related Items (2)

DENOMINATORS OF BERNOULLI POLYNOMIALS ⋮ On the greatest common divisor of shifted sets

Cites Work

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• On divisors of binomial coefficients. I
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• Diophantine approximation
• \(P_ 2\) in short intervals
• On the fractional parts of \(x/n\) and related sequences. I
• On the fractional parts of {x/n} and related sequences. II, III
• Exponential sums with monomials
• Small remainder of a vector to suitable modulus
• The greatest prime factor of the integers in an interval
• The Greatest Prime Factor of the Integers in an Interval
• A new form of the error term in the linear sieve
• On Gaps Between Squarefree Numbers II
• On the Fractional Parts of n/j,j = o(n)
• Nombres
• The greatest prime factor of the integers in an interval
• On the Distribution of αp; Modulo One
• Fractional Parts of Pairs of Quadratic Polynomials
• Numbers with a large prime factor
• Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients
• On the difference of consecutive terms of sequences defined by divisibility properties
• A Note on Numbers with a Large Prime Factor
• On the difference of consecutive terms of sequences defined by divisibility properties, II
• On sparsely totient numbers
• On sparsely totient numbers
• Primes of the form \([n^ c\)]

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