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arXiv · 1812.02774

Multiplicative parametric geometry of numbers and transference theorems for lattice exponents

Oleg N. German
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Abstract

In this paper we adapt parametric geometry of numbers developed by Wolfgang Schmidt and Leonard Summerer to a multiplicative setting, and derive a chain of inequalities for the corresponding exponents which splits the transference inequality for Diophantine exponents of lattices in the same way Khintchine's transference inequalities for simultaneous approximation can be split.

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Oleg N. German. 2018-12-06. Multiplicative parametric geometry of numbers and transference theorems for lattice exponents. https://arxiv.org/abs/1812.02774

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