On exponentially perfect numbers relatively prime to 15

Kolenick, Joseph F.; Youngstown State University. Dept. of Mathematics.

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dc.contributor.author	Kolenick, Joseph F.	en_US
dc.contributor.author	Youngstown State University. Dept. of Mathematics.	en_US
dc.date.accessioned	2011-01-31T14:16:38Z
dc.date.accessioned	2019-09-08T02:35:59Z
dc.date.available	2011-01-31T14:16:38Z
dc.date.available	2019-09-08T02:35:59Z
dc.date.created	2007	en_US
dc.date.issued	2007	en_US
dc.identifier.other	b20254386	en_US
dc.identifier.uri	http://rave.ohiolink.edu/etdc/view?acc_num=ysu1196698780	en_US
dc.identifier.uri	http://jupiter.ysu.edu/record=b2025438	en_US
dc.identifier.uri	http://hdl.handle.net/1989/6096
dc.description	iii, 12 leaves : ill. ; 29 cm.	en_US
dc.description	Thesis (M.S.)--Youngstown State University, 2007.	en_US
dc.description	Includes bibliographical references (leaf 10).	en_US
dc.description.abstract	If the natural number n has the canonical form pa1pa2p ...[pi]ar, then we say that an exponential divisor of n has the form d = pb11... pb22... prbr, 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.	en_US
dc.description.statementofresponsibility	by Joseph F. Kolenick.	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartofseries	Master's Theses no. 0973	en_US
dc.subject.classification	Master's Theses no. 0973	en_US
dc.subject.lcsh	Mathematics.	en_US
dc.title	On exponentially perfect numbers relatively prime to 15	en_US
dc.type	Thesis	en_US

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