Dear Editors:
This is to certify that the paper written jointly by Jason Lewis and
Robert Ellis, titled "Investigations into the Kaprekar Process", was
conducted independently under my supervision. The research began as
part of a class project in MATH 3090, Junior Seminar, and was
completed as part of an independent study project. The authors are
both currently seniors at ETSU, and the research was conducted in its
entirety while Lewis and Ellis were undergraduates.
I believe that the content of the paper is substantial. There are
several aspects that are new; these include the statistical analyses
and the generation of the complete tree for the 4-digit Kaprekar
process. The paper is certainly not at the level of research
conducted, say, by students in the Rose-Hulman REU program. This is
only to be expected since the REU group consists of the best students
nationwide. However, the Lewis-Ellis paper does represent among the
best work done by students at ETSU in recent years and is certainly
worthy of publication in the Rose Undergraduate Mathematics Journal.
My name and address appear below, as a signature to this email.
Sincerely,
Anant Godbole
Anant Godbole
Professor and Chair, Department of Mathematics,
Director, REU Program on Discrete Random Structures
East Tennessee State University,
Box 70663, Johnson City, TN 37614
423-439-5359; godbolea@etsu.edu; FAX: 423-439-8361
http://www.etsu.edu/math/godbole/anant.htm
REU webpage: http://www.etsu.edu/math/godbole/nsf.htm