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A theorem on transcendence of infinite series. II

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Publication:1612524
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DOI10.1006/jnth.2001.2672zbMath1012.11063OpenAlexW1976771522MaRDI QIDQ1612524

Michael A. Nyblom

Publication date: 25 August 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2672


zbMATH Keywords

infinite seriestranscendental numbergeneralised Fibonacci and Lucas numbers


Mathematics Subject Classification ID

Recurrences (11B37) Transcendence (general theory) (11J81)


Related Items (7)

An extension of a result of Sierpiński ⋮ Irrationality and Transcendence Criteria for Infinite Series in Isabelle/HOL ⋮ On some power series with algebraic coefficients and Liouville numbers ⋮ Unnamed Item ⋮ ON THE TRANSCENDENCE OF CERTAIN REAL NUMBERS ⋮ Unnamed Item ⋮ The transcendence of certain infinite series



Cites Work

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  • An irrational sum
  • Problems in analysis
  • Irrational sums
  • The irrationality of certain infinite series
  • On the transcendency of the solutions of a special class of functional equations
  • A theorem on irrationality of infinite series and applications
  • A theorem on transcendence of infinite series


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