Metric Simultaneous Diophantine Approximation
From MaRDI portal
Publication:5737170
DOI10.1112/jlms/s1-37.1.387zbMath0124.02902OpenAlexW1973086568MaRDI QIDQ5737170
Publication date: 1962
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/jlms/s1-37.1.387
Related Items (34)
A randomized version of the Littlewood conjecture ⋮ Bohr sets and multiplicative Diophantine approximation ⋮ Asymptotic Diophantine approximation: the multiplicative case ⋮ ZERO‐ONE LAWS IN SIMULTANEOUS AND MULTIPLICATIVE DIOPHANTINE APPROXIMATION ⋮ Multiplicatively badly approximable matrices up to logarithmic factors ⋮ The mixed Littlewood conjecture for pseudo-absolute values ⋮ Diophantine approximation for products of linear maps — logarithmic improvements ⋮ The shrinking target problem for matrix transformations of tori: revisiting the standard problem ⋮ FULLY INHOMOGENEOUS MULTIPLICATIVE DIOPHANTINE APPROXIMATION OF BADLY APPROXIMABLE NUMBERS ⋮ Counting multiplicative approximations ⋮ A converse to linear independence criteria, valid almost everywhere ⋮ Measure theoretic laws for limsup sets defined by rectangles ⋮ On the metric theory of multiplicative Diophantine approximation ⋮ Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation ⋮ Effective equidistribution for multiplicative Diophantine approximation on lines ⋮ Random walks, spectral gaps, and Khintchine's theorem on fractals ⋮ Linear forms at a basis of an algebraic number field ⋮ The Hausdorff measure version of Gallagher's theorem. Closing the gap and beyond ⋮ Multiplicatively badly approximable numbers and generalised Cantor sets ⋮ Perfectly ordered quasicrystals and the Littlewood conjecture ⋮ Mass transference principle from rectangles to rectangles in Diophantine approximation ⋮ On a problem in simultaneous Diophantine approximation: Littlewood's conjecture ⋮ Diophantine exponents and the Khintchine Groshev theorem ⋮ A note on simultaneous Diophantine approximation on planar curves ⋮ Badly approximable numbers and Littlewood-type problems ⋮ Effective Lower Bounds for Some Linear Forms ⋮ SOME REFINED RESULTS ON THE MIXED LITTLEWOOD CONJECTURE FOR PSEUDO-ABSOLUTE VALUES ⋮ Quantitative Diophantine approximation on affine subspaces ⋮ Higher-rank Bohr sets and multiplicative diophantine approximation ⋮ A NOTE ON MATRIX APPROXIMATION IN THE THEORY OF MULTIPLICATIVE DIOPHANTINE APPROXIMATION ⋮ Metric simultaneous diophantine approximation (II) ⋮ MULTIPLICATIVE DIOPHANTINE APPROXIMATION OF THE EXPANSIONS UNDER DIFFERENT BASES ON A LINE ⋮ Multiplicative \(p\)-adic approximation ⋮ Poisson approximation and Weibull asymptotics in the geometry of numbers
This page was built for publication: Metric Simultaneous Diophantine Approximation
