On squares expressible as sum of consecutive squares
Date of Publication
1995
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This paper mainly concerns itself with squares expressible as sum of consecutive squares. Let | be the set of all integers k for which there exists a square expressible as a sum of k consecutive squares. Some necessary conditions that k must satisfy in order to belong to the set | are given. Squares which are sums of k consecutive squares are found with the use of diophantine equations which can be reduced to Pell's equation. A discussion on finding solutions to Pell's equation when k is a perfect square and when k is not a perfect square is included. It was also shown that if k belongs to |,then there exist infinitely many squares that can be written as the sum of k consecutive squares if and only if k is not a perfect square.
Abstract Format
html
Language
English
Format
Accession Number
TU07066
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
73 leaves
Keywords
Square; Congruences and residues; Numbers,--Theory of; Numbers, Divisibility of
Recommended Citation
Rumbaoa, J. O., & Torres, A. G. (1995). On squares expressible as sum of consecutive squares. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16265
