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Faculty of Environment, Science and Economy
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Quadratic forms representing pth terms of Lucas sequences
Berrizbeitia, P
;
Chapman, R
;
Luca, F
;
et al.
Mendoza, A
Date: 9 January 2017
http://hdl.handle.net/10871/26169
ABCLJNTv2s.pdf (Unknown, 265.3Kb)
Article
Journal
Journal of Number Theory
Publisher
Elsevier for Academic Press
Publisher DOI
https://doi.org/10.1016/j.jnt.2016.11.021
Abstract
We prove that if {An}n≥0 is any Lucas sequence and p is any prime, then 4Ap admits a representation by one of two quadratic forms according to the residue class of p modulo 4.
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Mathematics and Statistics
Faculty of Environment, Science and Economy
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