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

来源：

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

页码：205 / 223

页数：19

共 50 条

[41] On the sums of digits of Fibonacci numbers
Terr, DC
FIBONACCI QUARTERLY, 1996, 34 (04): : 349 - 355
[42] On the Fibonacci numbers and the Dedekind sums
Zhang, WP
Yi, Y
FIBONACCI QUARTERLY, 2000, 38 (03): : 223 - 226
[43] THE SUMS OF THE CONSECUTIVE FIBONACCI NUMBERS
Shtefan, Dmitriy
Dobrovolska, Irina
FIBONACCI QUARTERLY, 2018, 56 (03): : 229 - 236
[44] On the reciprocal sums of the generalized Fibonacci sequences
Zhang, Han
Wu, Zhengang
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[45] ON THE SUM OF RECIPROCAL FIBONACCI NUMBERS
Ohtsuka, Hideyuki
Nakamura, Shigeru
FIBONACCI QUARTERLY, 2008, 46-47 (02): : 153 - 159
[46] On the reciprocal sums of the generalized Fibonacci sequences
Han Zhang
Zhengang Wu
Advances in Difference Equations, 2013
[47] Fibonacci numbers as sums of two Padovan numbers
Garcia Lomeli, Ana Cecilia
Hernandez Hernandez, Santos
Luca, Florian
AFRIKA MATEMATIKA, 2022, 33 (01)
[48] Fibonacci numbers as sums of two Padovan numbers
Ana Cecilia García Lomelí
Santos Hernández Hernández
Florian Luca
Afrika Matematika, 2022, 33
[49] IRRATIONALITY RESULTS FOR RECIPROCAL SUMS OF CERTAIN LUCAS-NUMBERS
BECKER, PG
TOPFER, T
ARCHIV DER MATHEMATIK, 1994, 62 (04) : 300 - 305
[50] On the algebraic independence of numbers
Nesterenko, YV
PANORAMA IN NUMBER THEORY OR THE VIEW FROM BAKER'S GARDEN, 2002, : 148 - 167