Quadratic forms representing pth terms of Lucas sequences

dc.contributor.author	Berrizbeitia, P
dc.contributor.author	Chapman, R
dc.contributor.author	Luca, F
dc.contributor.author	Mendoza, A
dc.date.accessioned	2017-03-01T15:57:48Z
dc.date.issued	2017-01-09
dc.description.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.	en_GB
dc.description.sponsorship	We thank the referee for comments which improved the quality of this paper. F. L. was partially supported by grant CPRR160325161141 and an A-rated scientist award both from the NRF of South Africa and by grant no. 17-02804S of the Czech Granting Agency.	en_GB
dc.identifier.citation	Vol. 175, pp. 134 - 139	en_GB
dc.identifier.doi	10.1016/j.jnt.2016.11.021
dc.identifier.uri	http://hdl.handle.net/10871/26169
dc.language.iso	en	en_GB
dc.publisher	Elsevier for Academic Press	en_GB
dc.rights.embargoreason	Publisher policy	en_GB
dc.subject	Lucas sequences	en_GB
dc.subject	Quadratic forms	en_GB
dc.title	Quadratic forms representing pth terms of Lucas sequences	en_GB
dc.type	Article	en_GB
dc.identifier.issn	0022-314X
dc.description	This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record.	en_GB
dc.identifier.journal	Journal of Number Theory	en_GB