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Transcendence of the values of infinite products in several variables

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Publication:860147
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DOI10.1007/BF03323373zbMath1133.11313MaRDI QIDQ860147

Yohei Tachiya

Publication date: 23 January 2007

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



Mathematics Subject Classification ID

Transcendence (general theory) (11J81)


Related Items (6)

Transcendence of infinite products involving Fibonacci and Lucas numbers ⋮ Algebraic and arithmetical properties of Mahler infinite products generated by the second degree polynomials ⋮ Algebraic independence results for the values of certain Mahler functions and their application to infinite products ⋮ A note on the transcendence of infinite products ⋮ Transcendence criterion for values of certain functions of several variables ⋮ Arithmetical properties of certain infinite products




Cites Work

  • Transcendence of certain infinite products
  • Mahler functions and transcendence
  • 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
  • Transcendency Results for Sums of Reciprocals of Linear Recurrences




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