Vol. 14, No. 1, 2020

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

Volume 18
Issue 3, 409–629
Issue 2, 209–408
Issue 1, 1–208

Volume 17, 12 issues

Volume 16, 10 issues

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

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
Editors’ Interests
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Author Index
To Appear
Other MSP Journals
This article is available for purchase or by subscription. See below.
On the orbits of multiplicative pairs

Oleksiy Klurman and Alexander P. Mangerel

Vol. 14 (2020), No. 1, 155–189
DOI: 10.2140/ant.2020.14.155

We characterize all pairs of completely multiplicative functions fg : 𝕋, where 𝕋 denotes the unit circle, such that

{(f(n),g(n + 1))}n1¯𝕋 × 𝕋.

In so doing, we settle an old conjecture of Zoltán Daróczy and Imre Kátai.

PDF Access Denied

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

multiplicative functions, Erdos discrepancy problem, Katai conjecture
Mathematical Subject Classification 2010
Primary: 11N37
Secondary: 11N64
Received: 24 January 2019
Revised: 3 July 2019
Accepted: 5 August 2019
Published: 15 March 2020
Oleksiy Klurman
Department of Mathematics
Royal Institute of Technology
Alexander P. Mangerel
Centre Recherches Mathematiques
Université de Montréal