On the Periods of Biperiodic Fibonacci and Biperiodic Lucas Numbers
This paper is concerned with periods of Biperiodic Fibonacci and Biperiodic Lucas sequences taken as modulo prime and prime power. By using Fermat’s little theorem, quadratic reciprocity, many results are obtained.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/7341729 |
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doaj-318a824baf424260b1fd26dd08a19fe22020-11-24T22:15:40ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/73417297341729On the Periods of Biperiodic Fibonacci and Biperiodic Lucas NumbersDursun Tascı0Gul Ozkan Kızılırmak1Department of Mathematics, Gazi University, 06500 Ankara, TurkeyDepartment of Mathematics, Gazi University, 06500 Ankara, TurkeyThis paper is concerned with periods of Biperiodic Fibonacci and Biperiodic Lucas sequences taken as modulo prime and prime power. By using Fermat’s little theorem, quadratic reciprocity, many results are obtained.http://dx.doi.org/10.1155/2016/7341729 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Dursun Tascı Gul Ozkan Kızılırmak |
| spellingShingle |
Dursun Tascı Gul Ozkan Kızılırmak On the Periods of Biperiodic Fibonacci and Biperiodic Lucas Numbers Discrete Dynamics in Nature and Society |
| author_facet |
Dursun Tascı Gul Ozkan Kızılırmak |
| author_sort |
Dursun Tascı |
| title |
On the Periods of Biperiodic Fibonacci and Biperiodic Lucas Numbers |
| title_short |
On the Periods of Biperiodic Fibonacci and Biperiodic Lucas Numbers |
| title_full |
On the Periods of Biperiodic Fibonacci and Biperiodic Lucas Numbers |
| title_fullStr |
On the Periods of Biperiodic Fibonacci and Biperiodic Lucas Numbers |
| title_full_unstemmed |
On the Periods of Biperiodic Fibonacci and Biperiodic Lucas Numbers |
| title_sort |
on the periods of biperiodic fibonacci and biperiodic lucas numbers |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2016-01-01 |
| description |
This paper is concerned with periods of Biperiodic Fibonacci and Biperiodic Lucas sequences taken as modulo prime and prime power. By using Fermat’s little theorem, quadratic reciprocity, many results are obtained. |
| url |
http://dx.doi.org/10.1155/2016/7341729 |
| work_keys_str_mv |
AT dursuntascı ontheperiodsofbiperiodicfibonacciandbiperiodiclucasnumbers AT gulozkankızılırmak ontheperiodsofbiperiodicfibonacciandbiperiodiclucasnumbers |
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