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On algebraic independence of a class of infinite products

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Publication:344120
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DOI10.1016/J.JNT.2016.08.007zbMath1419.11098OpenAlexW2530394968MaRDI QIDQ344120

Keijo Väänänen, Masaaki Amou

Publication date: 22 November 2016

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

Full work available at URL: http://urn.fi/urn:nbn:fi-fe2019032810241


zbMATH Keywords

algebraic independenceMahler's method


Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91)


Related Items (3)

Algebraic independence of certain Mahler functions ⋮ Transcendence of infinite products involving Fibonacci and Lucas numbers ⋮ Algebraic and arithmetical properties of Mahler infinite products generated by the second degree polynomials




Cites Work

  • Transcendence of certain infinite products
  • On the algebraic independence of holomorphic solutions of certain functional equations and their values
  • Mahler functions and transcendence
  • Arithmetical properties of certain infinite products
  • Transcendence of a fast converging series of rational numbers
  • Arithmetic properties of certain functions in several variables III
  • An inductive method for proving the transcendence of certain series




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