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http://hdl.handle.net/1989/8018
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| Authors: | Kolenick, Joseph F.
Youngstown State University. Dept. of Mathematics. |
| Title: | On exponentially perfect numbers relatively prime to 15 / |
| Statement of Responsibility: | by Joseph F. Kolenick. |
| Date Issued: | 18-Dec-2008 |
| Date Created: | 2007 |
| Description: | iii, 12 leaves : ill. ; 29 cm. |
| Abstract: | If the natural number n has the canonical form pa1
1 pa2
2 · · · par
r , then we say that an exponential
divisor of n has the form d = pb1
1 pb2
2 · · · pbr
r , where bi|ai for i = 1, 2, . . . r. We denote the sum of
the exponential divisors of n by (e)(n). A natural number n is said to be exponentially perfect (or
e-perfect) if (e)(n) = 2n.
The purpose of this thesis is to investigate the existence of e-perfect numbers relatively prime
to 15. In particular, if such numbers exist, are they bounded below? How many distinct prime
divisors must they have? Several lemmas are utilized throughout the paper on route to answering
these questions. Also, computer programs written in Maple are used for numerical estimates. |
| Note(s): | Thesis (M.S.)--Youngstown State University, 2007.
Includes bibliographical references (leaf 10). |
| Series: | Master's Theses no. 0973 |
| Library of Congress Subject Headings: | Mathematics |
| URL (Click to connect): | http://rave.ohiolink.edu/etdc/view?acc_num=ysu1196698780
http://jupiter.ysu.edu/record=b2025438
http://hdl.handle.net/1989/8018 |
| Appears in Collections: | Theses
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