Title

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 Department

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

Print

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

Embargo Period

3-25-2021

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