Further results on logarithmic terraces

Anderson, I. and Ellison, L.H.M. (2008) Further results on logarithmic terraces. Discrete Mathematics, 308(5-6), pp. 684-695. (doi: 10.1016/j.disc.2007.07.055)

Abstract

Let p be an odd prime, and letx be a primitive root of p. Suppose that we write theelements of Z(p-1) as 1, 2,..., p - 1, and that, wherever we evaluate x(1) (mod p), we always write it as one of 1, 2...., p - 1. Let l = (l(1),...,l(p-1)) be a terrace for Z(p-1). Then l is said to be a logarithmic terrace if e= (e(1),...,e(p-1)), defined by e(i) = x(li) (mod p), is also a terrace for Z(p-1). We study properties of logarithmic terraces, in particular investigating terraces which are simultaneously logarithmic for two different primitive roots.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Anderson, Dr Ian
• Authors: Anderson, I., and Ellison, L.H.M.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Discrete Mathematics
• ISSN: 0012-365X
• ISSN (Online): 1872-681X
• Published Online: 22 August 2007