Ap\'ery limits and Mahler measures
Wadim Zudilin
TL;DR
This paper establishes a novel connection between Apéry limits, which are related to irrationality proofs, and Mahler measures, a concept in number theory and algebraic geometry, opening new avenues for research.
Contribution
It introduces the first known relationship between Apéry limits and Mahler measures, bridging two previously unrelated areas in mathematics.
Findings
Established a link between Apéry limits and Mahler measures
Provided new insights into the properties of both concepts
Suggested potential applications in number theory
Abstract
It is the first paper which relates Ap\'ery limits to Mahler measures.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematics and Applications · Mathematical Dynamics and Fractals