On the distribution of the convergents of almost all real numbers

DOI10.1016/0022-314X(70)90046-6zbMath0205.34902OpenAlexW1965816151MaRDI QIDQ2542313

Paul Erdős

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1016/0022-314x(70)90046-6

Mathematics Subject Classification ID

Diophantine inequalities (11J25)

Related Items (20)

Unnamed Item ⋮ Metric diophantine approximation with two restricted variables. III: Two prime numbers ⋮ The $k$-dimensional Duffin and Schaeffer conjecture ⋮ The k ‐dimensional Duffin and Schaeffer conjecture ⋮ The Duffin-Schaeffer conjecture with extra divergence. II ⋮ The work of James Maynard ⋮ Rational approximations of irrational numbers ⋮ On the Duffin-Schaeffer conjecture ⋮ Missing digits and good approximations ⋮ KHINTCHINE'S THEOREM WITH RANDOM FRACTIONS ⋮ Counterexamples, covering systems, and zero-one laws for inhomogeneous approximation ⋮ Erdős and the integers ⋮ Metric Diophantine approximation with two restricted variables I. Two square-free integers, or integers in arithmetic progressions ⋮ The Duffin–Schaeffer theorem in number fields ⋮ Some Fourier series with gaps ⋮ Diophantine approximation with mild divisibility constraints ⋮ On cubic lacunary Fourier series ⋮ Diophantine approximation generalized ⋮ Martingale differences and the metric theory of continued fractions ⋮ On the metric theory of approximations by reduced fractions: a quantitative Koukoulopoulos–Maynard theorem

Cites Work

• Khintchine's problem in metric diophantine approximation
• On congruence classes of denominators of convergents
• Über die metrische Theorie der diophantischen Approximation II

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