Multiplicative Diophantine Exponents of Hyperplanes
Yuqing Zhang
TL;DR
This paper investigates the multiplicative Diophantine approximation properties of vectors and computes the Diophantine exponents of hyperplanes using dynamical systems methods.
Contribution
It introduces a novel approach to calculating Diophantine exponents of hyperplanes through dynamical systems theory.
Findings
Explicit formulas for Diophantine exponents of hyperplanes
New connections between Diophantine approximation and dynamics
Enhanced understanding of multiplicative approximation properties
Abstract
We study multiplicative Diophantine approximation property of vectors and compute Diophantine exponents of hyperplanes via dynamics.
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Taxonomy
TopicsMathematics and Applications · Commutative Algebra and Its Applications · Advanced Mathematical Theories and Applications