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October 13, 2025Open Access

Transcendence criteria for infinite products of algebraic numbers

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Authors

MLMathias L. LaursenAarhus University

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Overview

This paper reports new transcendence criteria for infinite products, suggesting implications for irrationality in algebraic contexts.

Key Points

  • The study presents new transcendence criteria for rapidly converging infinite products of algebraic numbers, improving previous knowledge.
  • It enhances existing criteria for irrationality of products and infinite series, providing deeper insights into algebraic number theory.
  • Using Schmidt's Subspace Theorem, the findings generalize Erdős' classical theorem on the irrationality of infinite series.
  • These results have potential applications in understanding more complex algebraic structures and their properties.

Cite This Study

Mathias L. Laursen (2025) studied this question.

synapsesocial.com/papers/68ece2abd1bb2827d12972e6https://doi.org/10.48550/arxiv.2503.01575
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