Sums of two squares
Date of Publication
1992
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis shows that the properties of integers and rings of Gaussian integers have analogous properties. Many basic concepts in abstract algebra like groups, fields, ring and integral domains are included. Moreover, the concepts of divisibility and congruences of number theory also play a major role in this study.The main result of this study is that an integer is the sum of two non-zero squares in integers if each element of integers of the form a = 2em2n, where, m is a product of primes congruent to 3 mod 4, n is a product of primes congruent to 1 mod 4 and where either n 1 or n is odd.
Abstract Format
html
Language
English
Format
Accession Number
TU05727
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
67 leaves
Keywords
Square
Recommended Citation
Luy, M., & To, J. (1992). Sums of two squares. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/15975
