Perfect Polynomials Over GF(q)

dc.contributor.author	O'Connell, James R., Jr.	en
dc.contributor.author	Beard, Jacob T. B., Jr.	en
dc.contributor.author	West, Karen I.	en
dc.date.accessioned	2010-05-26T14:28:51Z	en
dc.date.available	2010-05-26T14:28:51Z	en
dc.date.issued	1975-03	en
dc.identifier.uri	http://hdl.handle.net/10106/2165	en
dc.description.abstract	Please note that the full text is embargoed ABSTRACT: A monic polynomial [see pdf for notation] is called perfect over GF(q) if and only if the sum [see pdf for notation] of the distinct monic divisors in GF[q,x] of A(x) equals A(x). Principal results characterize all perfect polynomials over GF(p) which split in GF[p,x]. Related results lead to conjectured analogs of the classical problem on the existence of odd perfect numbers.	en
dc.language.iso	en_US	en
dc.publisher	University of Texas at Arlington	en
dc.relation.ispartofseries	Technical Report;21	en
dc.subject	Monic polynomial	en
dc.subject	Perfect polynomials	en
dc.subject.lcsh	Mathematics Research	en
dc.subject.lcsh	Polynomials	en
dc.title	Perfect Polynomials Over GF(q)	en
dc.type	Technical Report	en
dc.publisher.department	Department of Mathematics	en