Asymptotic representations for fibonacci reciprocal sums and euler’s formulas for zeta values

Carsten Elsner; Shun Shimomura; Iekata Shiokawa

doi:10.5802/jtnb.663

Asymptotic representations for fibonacci reciprocal sums and euler’s formulas for zeta values

Carsten Elsner, Shun Shimomura, Iekata Shiokawa

数理科学科

研究成果: Article › 査読

1 被引用数 (Scopus)

抄録

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’s formulas for values of zeta functions.

本文言語	English
ページ（範囲）	145-157
ページ数	13
ジャーナル	Journal de Theorie des Nombres de Bordeaux
巻	21
号	1
DOI	https://doi.org/10.5802/jtnb.663
出版ステータス	Published - 2009

ASJC Scopus subject areas

代数と数論

文献へのアクセス

10.5802/jtnb.663

他のファイルとリンク

引用スタイル

@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",

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",

}

TY - JOUR

T1 - Asymptotic representations for fibonacci reciprocal sums and euler’s formulas for zeta values

AU - Elsner, Carsten

AU - Shimomura, Shun

AU - Shiokawa, Iekata

PY - 2009

Y1 - 2009

N2 - 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’s formulas for values of zeta functions.

AB - 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’s formulas for values of zeta functions.

UR - http://www.scopus.com/inward/record.url?scp=85009963242&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85009963242&partnerID=8YFLogxK

U2 - 10.5802/jtnb.663

DO - 10.5802/jtnb.663

M3 - Article

AN - SCOPUS:85009963242

VL - 21

SP - 145

EP - 157

JO - Journal de Theorie des Nombres de Bordeaux

JF - Journal de Theorie des Nombres de Bordeaux

SN - 1246-7405

IS - 1

ER -

Asymptotic representations for fibonacci reciprocal sums and euler’s formulas for zeta values

抄録

ASJC Scopus subject areas

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル