Metric Diophantine approximation: Moving targets and inhomogeneous variants (Manuel Hauke)
Автор: New England Dynamics and Number Theory Seminar
Загружено: 2025-09-03
Просмотров: 44
Описание: Khintchine’s Theorem and its inhomogeneous and multidimensional variants provide a satisfying answer about the quality of approximations for almost every number. In this talk, I will discuss the (still open) question of allowing a moving target (that is, the inhomogeneous parameter changes for each denominator) in Khintchine’s Theorem. Furthermore, I will describe Duffin–Schaeffer-type results and conjectures in these setups, both in dimension 1, but also in higher dimensions. This is partially joint work with Victor Beresnevich and Sanju Velani, respectively with Felipe Ramírez.
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