On the Local Minima of the Order of Appearance Function-Reference-Cited by-同舟云学术

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On the Local Minima of the Order of Appearance Function

Published:2015 Issue: Volume:2015 Page:1-3
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Luca Florian¹,Mosima Thato¹

Affiliation:

1. School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits, Johannesburg 2050, South Africa

Abstract

The order of appearancez(n)of the positive integernis the smallest positive integerksuch thatndividesFk, thekth member of the Fibonacci sequence. In this paper, we improve upon some results from (Marques, 2011) concerning local minima ofz(n).

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2015/823973.pdf

Reference4 articles.

1. On Integer Numbers with Locally Smallest Order of Appearance in the Fibonacci Sequence

2. On the local behavior of the order of appearance in the Fibonacci sequence

3. Existence of primitive divisors of Lucas and Lehmer numbers

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