On the metric theory of diophantine approximation

DOI10.2140/PJM.1978.76.527zbMath0352.10026OpenAlexW1985753250MaRDI QIDQ1235732

Jeffrey D. Vaaler

Publication date: 1978

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1978.76.527

Mathematics Subject Classification ID

Diophantine approximation in probabilistic number theory (11K60)

Related Items (24)

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 ⋮ ZERO‐ONE LAWS IN SIMULTANEOUS AND MULTIPLICATIVE DIOPHANTINE APPROXIMATION ⋮ On the metric theory of inhomogeneous Diophantine approximation: an Erdős-Vaaler type result ⋮ The Duffin-Schaeffer conjecture with extra divergence. II ⋮ The work of James Maynard ⋮ Rational approximations of irrational numbers ⋮ Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation ⋮ 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 ⋮ Metric Diophantine approximation with two restricted variables I. Two square-free integers, or integers in arithmetic progressions ⋮ The Duffin–Schaeffer theorem in number fields ⋮ The Duffin-Schaeffer conjecture with extra divergence ⋮ Diophantine approximation with mild divisibility constraints ⋮ Martingale differences and the metric theory of continued fractions ⋮ THE DUFFIN–SCHAEFFER‐TYPE CONJECTURES IN VARIOUS LOCAL FIELDS ⋮ A Fourier-analytic approach to inhomogeneous Diophantine approximation ⋮ Variants of Khintchine's theorem in metric Diophantine approximation ⋮ Multi-dimensional metric approximation by primitive points ⋮ On metric theory of Diophantine approximation for complex numbers ⋮ On the metric theory of approximations by reduced fractions: a quantitative Koukoulopoulos–Maynard theorem

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