Metric Diophantine approximation with two restricted variables I. Two square-free integers, or integers in arithmetic progressions

DOI10.1017/S030500410006477XzbMath0655.10047MaRDI QIDQ3801659

Glyn Harman

Publication date: 1988

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

zbMATH Keywords

number of solutionscontinued fraction expansionsquare-free integersdiophantine inequalityconvergentsmetric diophantine approximation

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Diophantine approximation in probabilistic number theory (11K60) Homogeneous approximation to one number (11J04)

Related Items (5)

Metric diophantine approximation with two restricted variables. III: Two prime numbers ⋮ A ``zero-one law for diophantine approximations ⋮ THE PRIMES ARE NOT METRIC POISSONIAN ⋮ Metric Diophantine approximation with congruence conditions ⋮ Rational approximation and arithmetic progressions

Cites Work

• Unnamed Item
• Diophantine approximation with square-free numbers
• Applications of the method of trigonometric sums to the metric theory of diophantine approximation of dependent quantities
• On the metric theory of diophantine approximation
• On the distribution of the convergents of almost all real numbers
• Khintchine's problem in metric diophantine approximation
• Metrical Theorems on Fractional Parts of Sequences

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