Vol. 7, No. 3, 2013

Download this article
Download this article For screen
For printing
Recent Issues

Volume 13
Issue 8, 1765–1981
Issue 7, 1509–1763
Issue 6, 1243–1507
Issue 5, 995–1242
Issue 4, 749–993
Issue 3, 531–747
Issue 2, 251–530
Issue 1, 1–249

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Editorial Board
Subscriptions
Editors' Interests
Submission Guidelines
Submission Form
Editorial Login
Ethics Statement
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Author Index
To Appear
 
Other MSP Journals
Preperiodic points for families of polynomials

Dragos Ghioca, Liang-Chung Hsia and Thomas J. Tucker

Vol. 7 (2013), No. 3, 701–732
Abstract

Let a(λ),b(λ) [λ], and let fλ(x) [x] be a one-parameter family of polynomials indexed by all λ . We study whether there exist infinitely many λ such that both a(λ) and b(λ) are preperiodic for fλ.

Keywords
preperiodic points, heights
Mathematical Subject Classification 2010
Primary: 37P05
Secondary: 37P10
Milestones
Received: 21 September 2011
Revised: 25 March 2012
Accepted: 29 March 2012
Published: 23 August 2013
Authors
Dragos Ghioca
Department of Mathematics
University of British Columbia
Vancouver, BC V6T 1Z2
Canada
Liang-Chung Hsia
Department of Mathematics
National Taiwan Normal University
Taipei
Taiwan
Thomas J. Tucker
Department of Mathematics
University of Rochester
Rochester, NY 14627
United States