scholarly journals Cyclic Reciprocal Sums of Prime Products

2021 ◽  
Author(s):  
Serge Dolgikh
Keyword(s):  
Reciprocal Sums

scholarly journals Algebraic relations for reciprocal sums of Fibonacci numbers

2007 ◽  
Vol 130 (1) ◽  
pp. 37-60 ◽  
Author(s):  
Carsten Elsner ◽  
Shun Shimomura ◽  
Iekata Shiokawa
Keyword(s):  
Fibonacci Numbers ◽  
Reciprocal Sums

scholarly journals Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers

1997 ◽  
Vol 73 (7) ◽  
pp. 140-142 ◽  
Author(s):  
Daniel Duverney ◽  
Keiji Nishioka ◽  
Kumiko Nishioka ◽  
Iekata Shiokawa
Keyword(s):  
Continued Fraction ◽  
Fibonacci Numbers ◽  
Reciprocal Sums

Transcendence of reciprocal sums of binary recurrences

2008 ◽  
Vol 157 (4) ◽  
pp. 323-334 ◽  
Author(s):  
Tomoaki Kanoko ◽  
Takeshi Kurosawa ◽  
Iekata Shiokawa
Keyword(s):  
Reciprocal Sums

scholarly journals On the Sum of Reciprocal of Polynomial Applied to Higher Order Recurrences

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 638
Author(s):  
Pavel Trojovský
Keyword(s):  
Higher Order ◽  
Order Linear ◽  
Recursive Sequence ◽  
Infinite Sums ◽  
Reciprocal Sums

Recently a lot of papers have been devoted to partial infinite reciprocal sums of a higher-order linear recursive sequence. In this paper, we continue this program by finding a sequence which is asymptotically equivalent to partial infinite sums, including a reciprocal of polynomial applied to linear higher order recurrences.

Reciprocal Sums over Partitions and Compositions

1993 ◽  
Vol 6 (3) ◽  
pp. 388-399 ◽  
Author(s):  
A. Knopfmacher ◽  
J. N. Ridley
Keyword(s):  
Reciprocal Sums

Algebraic relations for reciprocal sums of odd terms in Fibonacci numbers

2007 ◽  
Vol 17 (3) ◽  
pp. 429-446 ◽  
Author(s):  
C. Elsner ◽  
S. Shimomura ◽  
I. Shiokawa
Keyword(s):  
Fibonacci Numbers ◽  
Reciprocal Sums
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