Ingram, Patrick, Mage, Valery, Silverman, Joseph H., Stange, Katherine E. and Streng, Marco. (2012) Algebraic divisibility sequences over function fields. Journal of the Australian Mathematical Society, Vol.92 . pp. 1-28. ISSN 1446-7887

Full text not available from this repository.

Abstract

In this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields defined over number fields contain infinitely many irreducible elements. We also prove that an elliptic divisibility sequence over a function field has only finitely many terms lacking a primitive divisor.

Item Type:	Journal Article
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Journal of the Australian Mathematical Society
Publisher:	Cambridge University Press
ISSN:	1446-7887
Date:	2012
Volume:	Vol.92
Page Range:	pp. 1-28
Identification Number:	10.1017/S1446788712000092
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/49087

Request changes to a record

Actions (login required)

View Item