Number-theoretic functions and some applications

This study is an exposition of Section 6.1, 6.3 and 6.4 of Chapter 6, Number Theoretic Functions of the book Elementary Number Theory by David M. Burton. The paper focus its discussion on number theoretic functions like the T function which gives the number of positive divisors of a number n, o func...

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Main Authors: Cheung, Edward C., Riola, Maria Lolita Blanca R.
Format: text
Language:English
Published: Animo Repository 2008
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Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/5076
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-56022021-03-25T07:53:23Z Number-theoretic functions and some applications Cheung, Edward C. Riola, Maria Lolita Blanca R. This study is an exposition of Section 6.1, 6.3 and 6.4 of Chapter 6, Number Theoretic Functions of the book Elementary Number Theory by David M. Burton. The paper focus its discussion on number theoretic functions like the T function which gives the number of positive divisors of a number n, o function which represents sum of these positive divisors, and the greatest integer function which is very suitable for treating divisibility problems. An application to calendar using greatest integer function and concepts of congruences will also presented. In addition, a computer program will be devised to help solve some calendar application problems. 2008-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/5076 Bachelor's Theses English Animo Repository Number theory Functions Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Number theory
Functions
Mathematics
spellingShingle Number theory
Functions
Mathematics
Cheung, Edward C.
Riola, Maria Lolita Blanca R.
Number-theoretic functions and some applications
description This study is an exposition of Section 6.1, 6.3 and 6.4 of Chapter 6, Number Theoretic Functions of the book Elementary Number Theory by David M. Burton. The paper focus its discussion on number theoretic functions like the T function which gives the number of positive divisors of a number n, o function which represents sum of these positive divisors, and the greatest integer function which is very suitable for treating divisibility problems. An application to calendar using greatest integer function and concepts of congruences will also presented. In addition, a computer program will be devised to help solve some calendar application problems.
format text
author Cheung, Edward C.
Riola, Maria Lolita Blanca R.
author_facet Cheung, Edward C.
Riola, Maria Lolita Blanca R.
author_sort Cheung, Edward C.
title Number-theoretic functions and some applications
title_short Number-theoretic functions and some applications
title_full Number-theoretic functions and some applications
title_fullStr Number-theoretic functions and some applications
title_full_unstemmed Number-theoretic functions and some applications
title_sort number-theoretic functions and some applications
publisher Animo Repository
publishDate 2008
url https://animorepository.dlsu.edu.ph/etd_bachelors/5076
_version_ 1772834533182275584