An Arithmetic Metric
D Dominici - The College Mathematics Journal, 2011 - Taylor & Francis
The College Mathematics Journal, 2011•Taylor & Francis
An Arithmetic Metric Page 1 An Arithmetic Metric Diego Dominici Diego Dominici (dominicid@newpaltz.edu)
received his Licenciatura (BS and MS) in pure mathematics from the Universidad de Buenos
Aires and his Ph.D. in applied mathematics from the University of Illinois at Chicago. Since
2003 he has been at SUNY New Paltz. From 2007 to 2010 he visited the Technische
Universität Berlin, on a Research Fellowship from the Alexander von Humboldt Foundation.
His primary mathematical interests are Special Functions and Asymptotic Analysis. He started …
received his Licenciatura (BS and MS) in pure mathematics from the Universidad de Buenos
Aires and his Ph.D. in applied mathematics from the University of Illinois at Chicago. Since
2003 he has been at SUNY New Paltz. From 2007 to 2010 he visited the Technische
Universität Berlin, on a Research Fellowship from the Alexander von Humboldt Foundation.
His primary mathematical interests are Special Functions and Asymptotic Analysis. He started …
Summary
This work introduces a distance between natural numbers not based on their position on the real line but on their arithmetic properties. We prove some metric properties of this distance and consider a possible extension.