TITLE:
Sums of Squares of Polygonal Numbers
AUTHORS:
A. Gnanam, B. Anitha
KEYWORDS:
Polygonal Numbers, Sums of Squares, Triangular Numbers
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.6 No.4,
March
29,
2016
ABSTRACT: Polygonal
numbers and sums of squares of primes are distinct fields of number theory. Here
we consider sums of squares of consecutive (of order and rank) polygonal
numbers. We try to express sums of squares of polygonal numbers of consecutive
orders in matrix form. We also try to find the solution of a Diophantine
equation in terms of polygonal numbers.