Transcendence criterion for values of certain functions of several variables

DOI10.1007/s00025-009-0002-zzbMath1201.11076OpenAlexW2070275601MaRDI QIDQ968070

Takeshi Kurosawa

Publication date: 3 May 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-009-0002-z

zbMATH Keywords

transcendenceMahler's methodseveral variables function

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81)

Related Items (3)

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

Cites Work

• Transcendence of the values of infinite products in several variables
• Transcendence of certain series involving binary linear recurrences
• Transcendence of certain infinite products
• Mahler functions and transcendence
• Arithmetic properties of certain functions in several variables III
• An inductive method for proving the transcendence of certain series
• On series involving Fibonacci and Lucas numbers I

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