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math.NT2026
Weighted singular vectors in common-base self-similar sets
Taehyeong Kim, Jaemin Park
We prove a lower bound for the Hausdorff dimension of weighted totally irrational singular vectors in affine-spanning common-base integral self-similar sets satisfying the open set…
math.NT2022★ 1 cited
On a lower bound of Hausdorff dimension of weighted singular vectors
Taehyeong Kim, Jaemin Park
Let be a -tuple of positive real numbers such that and . A -dimensional vector $x=(x_1,\dots,x_d)\in\mathbb{R}^d…