Proves the inhomogeneous Khintchine theorem in dimension 2 without monotonicity, resolving the final open case in inhomogeneous metric Diophantine approximation.
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math.NT 3years
2026 3representative citing papers
Khintchine-type zero-full law holds for inhomogeneous simultaneous approximation in (1,2) without monotonicity when ψ has polynomial decay.
The Fourier dimension of the inhomogeneous approximable set W_Q^*(ψ,θ) is determined exactly, recovering Kaufman-Blum and Cai-Hambrook theorems while affirming the coprime Chen-Xiong conjecture.
citing papers explorer
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The inhomogeneous Khintchine Theorem in dimension two
Proves the inhomogeneous Khintchine theorem in dimension 2 without monotonicity, resolving the final open case in inhomogeneous metric Diophantine approximation.
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Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay
Khintchine-type zero-full law holds for inhomogeneous simultaneous approximation in (1,2) without monotonicity when ψ has polynomial decay.
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Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture
The Fourier dimension of the inhomogeneous approximable set W_Q^*(ψ,θ) is determined exactly, recovering Kaufman-Blum and Cai-Hambrook theorems while affirming the coprime Chen-Xiong conjecture.