@article{3f0fa40ac1d148cbb51c03bbc67058bf,
title = "Asymptotic representations for fibonacci reciprocal sums and euler{\textquoteright}s formulas for zeta values",
abstract = "We present asymptotic representations for certain reciprocal sums of Fibonacci numbers and of Lucas numbers as a parameter tends to a critical value. As limiting cases of our results, we obtain Euler{\textquoteright}s formulas for values of zeta functions.",
author = "Carsten Elsner and Shun Shimomura and Iekata Shiokawa",
note = "Publisher Copyright: {\textcopyright} Universit{\'e} Bordeaux 1, 2009, tous droits r{\'e}serv{\'e}s.",
year = "2009",
doi = "10.5802/jtnb.663",
language = "English",
volume = "21",
pages = "145--157",
journal = "Journal de Theorie des Nombres de Bordeaux",
issn = "1246-7405",
publisher = "Universite de Bordeaux III (Michel de Montaigne)",
number = "1",
}