2025/03/03 by Mathias L. Laursen, Laursen, Mathias L.
Computer Science · Mathematics · #11J81 #11J87 #Computability, Logic, AI Algorithms #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematical and Theoretical Analysis #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2503.01575
openalex publication_date 2025/03/03 · openalex created_date 2025/10/12 · openalex updated_date 2026/07/28
Using an application of Schmidt's Subspace Theorem, this paper gives new transcendence criteria for rapidly converging infinite products of algebraic numbers. The paper also improves existing criteria for irrationality of products and criteria for irrationality and transcendence of infinite series. These results generalize a classical theorem on the irrationality of infinite series due to Erdős.