Date of Publication
2006
Document Type
Master's Thesis
Degree Name
Master of Science in Mathematics
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Leonor Aquino Ruivivar
Defense Panel Chair
Severino V. Gervacio
Defense Panel Member
Erminda C. Fortes
Yvette F. Lim
Abstract/Summary
This thesis is an exposition of the paper On Perfect Totient Numbers by Douglas E. Iannuci, Deng Moujie and Graeme L. Cohen which appeared in the Journal of Integer Sequences, Vol. 6 (2003), Article 03.4.5. Let n > 2 be a positive integer and let denote Eulers totient function. Define 1(n) = (n) and k(n) = ( k1(n)) for all integers k 2. Define the arithmetic function S by S(n) = (n) + 2(n) + . . . + c(n) + 1, where c(n) = 2. We say n is a perfect totient number if S(n) = n. We give a list of known perfect totient numbers, and we give sufficient conditions for the existence and non-existence of further perfect totient numbers. An original contribution of this study are additional forms of perfect totient numbers.
Abstract Format
html
Language
English
Format
Electronic
Accession Number
CDTG004177
Shelf Location
Archives, The Learning Commons, 12F Henry Sy Sr. Hall
Physical Description
viii, 71 leaves, 28 cm. ; Typescript
Keywords
Perfect numbers; Number theory; Euler's numbers; Arithmetic functions
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Recommended Citation
Belmonte, J. G. (2006). On perfect totient numbers. Retrieved from https://animorepository.dlsu.edu.ph/etd_masteral/3449