Algebraic independence results for reciprocal sums of Fibonacci numbers

被引:17
|
作者
Elsner, Carsten [1 ]
Shimomura, Shun [2 ]
Shiokawa, Iekata [2 ]
机构
[1] FHDW Hannover, D-30173 Hannover, Germany
[2] Keio Univ, Dept Math, Kohoku Ku, Yokohama, Kanagawa 2238522, Japan
关键词
Fibonacci numbers; algebraic independence; Ramanujan q-series; TRANSCENDENCE; SERIES;
D O I
10.4064/aa148-3-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:205 / 223
页数:19
相关论文
共 50 条
  • [21] BINOMIAL SUMS WITH HARMONIC AND FIBONACCI NUMBERS
    Duran, Omer
    Omur, Nese
    Koparal, Sibel
    JOURNAL OF SCIENCE AND ARTS, 2024, (02) : 389 - 398
  • [22] Sums of Fibonacci numbers that are perfect powers
    Ziegler, Volker
    QUAESTIONES MATHEMATICAE, 2023, 46 (08) : 1717 - 1742
  • [23] ON SUMS OF FIBONACCI NUMBERS MODULO p
    Garcia, Victor C.
    Luca, Florian
    Mejia Huguet, V. Janitzio
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2011, 83 (03) : 413 - 419
  • [24] POWER SUMS OF FIBONACCI AND LUCAS NUMBERS
    Chu, Wenchang
    Li, Nadia N.
    QUAESTIONES MATHEMATICAE, 2011, 34 (01) : 75 - 83
  • [25] On the Sums of Reciprocal Hyperfibonacci Numbers and Hyperlucas Numbers
    Liu, Rui
    Zhao, Feng-Zhen
    JOURNAL OF INTEGER SEQUENCES, 2012, 15 (04)
  • [26] The Infinite Sum of Reciprocal of the Fibonacci Numbers
    Guo Jie ZHANG Department of Mathematics
    Journal of Mathematical Research with Applications, 2011, (06) : 1030 - 1034
  • [27] Algebraic relations with the infinite products generated by Fibonacci numbers
    Kurosawa, Takeshi
    Tachiya, Yohei
    Tanaka, Taka-aki
    ANNALES MATHEMATICAE ET INFORMATICAE, 2013, 41 : 107 - 119
  • [28] Fibonacci numbers that are not sums of two prime powers
    Luca, F
    Stanica, P
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (07) : 1887 - 1890
  • [29] On perfect powers that are sums of two Fibonacci numbers
    Luca, Florian
    Patel, Vandita
    JOURNAL OF NUMBER THEORY, 2018, 189 : 90 - 96
  • [30] Powers of two as sums of three Fibonacci numbers
    Eric F. Bravo
    Jhon J. Bravo
    Lithuanian Mathematical Journal, 2015, 55 : 301 - 311