On an inhomogeneous uniform Littlewood type problem

Johannes Schleischitz

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arXiv · 2607.08114

On an inhomogeneous uniform Littlewood type problem

Johannes Schleischitz

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Abstract

We show that a fully inhomogeneous uniform Littlewood type problem has a negative answer and the counterexamples form a dense $G_{\delta}$ set. This extends the author's recent analogous result for the homogeneous case. The main difficulty in the general setting is the semi-homogeneous case where one linear form is homogeneous and the other inhomogeneous with irrational shift. We further address the higher dimensional analogue.

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Johannes Schleischitz. 2026-07-09. On an inhomogeneous uniform Littlewood type problem. https://arxiv.org/abs/2607.08114

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