FIBONACCI SEQUENCES IN kTH POWER RESIDUES

Article Sidebar

PDF
Published: Nov 15, 2021
DOI: https://doi.org/10.14403/jcms.2021.34.4.327
Keywords:
Diophantine m-tuple, Fibonacci numbers, Pell equation
Mathematics Subject Classification (2020):
Primary 11B39, 11D09, 11D45, Secondary 11B37, 11J68, 11J86

Main Article Content

Youchan Chung
Youchan Chung, Institude of Science Education for the Gifted and Talented
Eunyool Jang
Eunyool Jang, Institude of Science Education for the Gifted and Talented
Jinseo Park
Jinseo Park, Department of Mathematics Education
Sanghoon Park
Sanghoon Park, Institude of Science Education for the Gifted and Talented

Abstract





In this paper, we find all the prime numbers p that satisfy the following statement. If a positive integer k is a divisor of p − 1, then there is a sequence consisting of all k-th power residues modulo p, satisfying the recurrence equation of the Fibonacci sequence modulo p.





This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.




Article Details

Issue
Vol. 34 No. 4 (2021)
Section
Articles