@inproceedings{17cab90cbe4b4766b811bc34cf45cb74,
title = "Exceptional algebraic relations for reciprocal sums of Fibonacci and Lucas numbers",
abstract = "We discuss algebraic relations for reciprocal sums of Fibonacci and Lucas numbers. For a certain set of 12 such sums, we show that any two numbers are algebraically independent, and that any three are algebraically independent except for those in 22 exceptional triplets. We explicitly present algebraic relations for some of these exceptional cases.",
keywords = "Fibonacci numbers, Lucas numbers, reciprocal sums",
author = "Carsten Elsner and Shun Shimomura and Iekata Shiokawa",
year = "2011",
doi = "10.1063/1.3630036",
language = "English",
isbn = "9780735409477",
series = "AIP Conference Proceedings",
pages = "17--31",
booktitle = "Diophantine Analysis and Related Fields 2011, DARF - 2011",
note = "Diophantine Analysis and Related Fields 2011, DARF - 2011 ; Conference date: 03-03-2011 Through 05-03-2011",
}