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| math.NT/0209072 |
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Title: Positive rational solutions to $x^y = y^{mx}$: a number-theoretic excursion
Authors: Michael A. Bennett (1,2), Bruce Reznick (1) ((1) University of Illinois at Urbana-Champaign, (2) University of British Columbia)
Categories: math.NT Number Theory
Comments: 12 pages
MSC: 11D41
Abstract: We give a light-hearted look at the topic in the title. Most solutions are in
semi-boring parametric families, but some are sporadic and come from Thue
equations. One amusing example is m = 2, x = (4/5)^128, y = (4/5)^125.
Owner: Bruce Reznick
Version 1: Fri, 6 Sep 2002 16:35:35 GMT
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