Radial behavior of Mahler functions

DOI10.1142/S1793042124501070MaRDI QIDQ6628926

Marina Poulet, T. Rivoal

Publication date: 29 October 2024

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Mellin transformFourier seriessingularity analysisMahler functionsMahler equations

Mathematics Subject Classification ID

Recurrences (11B37) Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81) Automata sequences (11B85) Functional equations for complex functions (39B32)

Cites Work

• Title not available (Why is that?)
• Continued fractions of algebraic power series in characteristic 2
• \(k\)-regular power series and Mahler-type functional equations
• On certain oscillating series.
• Note on the series \(\sum_{n=1}^\infty \frac{x^n}{n^s}\).
• Algebraic independence of Mahler functions via radial asymptotics
• Computing solutions of linear Mahler equations
• Transcendence tests for Mahler functions
• An identity for sums of polylogarithm functions
• Stern polynomials and double-limit continued fractions
• DEGREE-ONE MAHLER FUNCTIONS: ASYMPTOTICS, APPLICATIONS AND SPECULATIONS
• Méthode de Mahler, transcendance et relations linéaires : aspects effectifs
• Becker’s conjecture on Mahler functions
• The rational-transcendental dichotomy of Mahler functions

Related Items (1)

Radial asymptotics of generating functions of \(k\)-regular sequences

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