On the Local Minima of the Order of Appearance Function
The order of appearance z(n) of the positive integer n is the smallest positive integer k such that n divides Fk, the kth member of the Fibonacci sequence. In this paper, we improve upon some results from (Marques, 2011) concerning local minima of z(n).
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/823973 |
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| _version_ | 1832555838696325120 |
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| author | Florian Luca Thato Mosima |
| author_facet | Florian Luca Thato Mosima |
| author_sort | Florian Luca |
| collection | DOAJ |
| description | The order of appearance z(n) of the positive integer n is the smallest positive integer k such that n divides Fk, the kth member of the Fibonacci sequence. In this paper, we improve upon some results from (Marques, 2011) concerning local minima of z(n). |
| format | Article |
| id | doaj-art-06dcbdb2f7ad409985f6f7cbce205679 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-06dcbdb2f7ad409985f6f7cbce2056792025-02-03T05:46:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/823973823973On the Local Minima of the Order of Appearance FunctionFlorian Luca0Thato Mosima1School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits, Johannesburg 2050, South AfricaSchool of Mathematics, University of the Witwatersrand, Private Bag X3, Wits, Johannesburg 2050, South AfricaThe order of appearance z(n) of the positive integer n is the smallest positive integer k such that n divides Fk, the kth member of the Fibonacci sequence. In this paper, we improve upon some results from (Marques, 2011) concerning local minima of z(n).http://dx.doi.org/10.1155/2015/823973 |
| spellingShingle | Florian Luca Thato Mosima On the Local Minima of the Order of Appearance Function International Journal of Mathematics and Mathematical Sciences |
| title | On the Local Minima of the Order of Appearance Function |
| title_full | On the Local Minima of the Order of Appearance Function |
| title_fullStr | On the Local Minima of the Order of Appearance Function |
| title_full_unstemmed | On the Local Minima of the Order of Appearance Function |
| title_short | On the Local Minima of the Order of Appearance Function |
| title_sort | on the local minima of the order of appearance function |
| url | http://dx.doi.org/10.1155/2015/823973 |
| work_keys_str_mv | AT florianluca onthelocalminimaoftheorderofappearancefunction AT thatomosima onthelocalminimaoftheorderofappearancefunction |