Reciprocal sums of Fibonacci numbers

Carsten Eisner, Shun Shimomura, Iekata Shiokawa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We discuss algebraic independence and algebraic relations for various series of reciprocal sums of Fibonacci numbers.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages77-89
Number of pages13
Volume976
DOIs
Publication statusPublished - 2008
EventDiophantine Analysis and Related Fields, DARF 2007/2008 - Kyoto, Japan
Duration: 2008 Mar 52008 Mar 7

Other

OtherDiophantine Analysis and Related Fields, DARF 2007/2008
CountryJapan
CityKyoto
Period08/3/508/3/7

Fingerprint

Fibonacci numbers

Keywords

  • Fibonacci numbers
  • Nesterenko's theorem
  • Ramanujan function

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Eisner, C., Shimomura, S., & Shiokawa, I. (2008). Reciprocal sums of Fibonacci numbers. In AIP Conference Proceedings (Vol. 976, pp. 77-89) https://doi.org/10.1063/1.2841913

Reciprocal sums of Fibonacci numbers. / Eisner, Carsten; Shimomura, Shun; Shiokawa, Iekata.

AIP Conference Proceedings. Vol. 976 2008. p. 77-89.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Eisner, C, Shimomura, S & Shiokawa, I 2008, Reciprocal sums of Fibonacci numbers. in AIP Conference Proceedings. vol. 976, pp. 77-89, Diophantine Analysis and Related Fields, DARF 2007/2008, Kyoto, Japan, 08/3/5. https://doi.org/10.1063/1.2841913
Eisner C, Shimomura S, Shiokawa I. Reciprocal sums of Fibonacci numbers. In AIP Conference Proceedings. Vol. 976. 2008. p. 77-89 https://doi.org/10.1063/1.2841913
Eisner, Carsten ; Shimomura, Shun ; Shiokawa, Iekata. / Reciprocal sums of Fibonacci numbers. AIP Conference Proceedings. Vol. 976 2008. pp. 77-89
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