Number-theoretic functions and some applications
Date of Publication
2008
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics with specialization in Business Applications
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Sonia Y. Tan
Defense Panel Chair
Jose Tristan F. Reyes
Defense Panel Member
Anita C. Ong
Mark Anthony A. Garcia
Abstract/Summary
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.
Abstract Format
html
Language
English
Format
Accession Number
TU15418
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
1 volume (various foliations), illustrations, 28 cm.
Keywords
Number theory; Functions
Recommended Citation
Cheung, E. C., & Riola, M. R. (2008). Number-theoretic functions and some applications. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/5076
Embargo Period
3-25-2021
