RELATION BETWEEN SUM OF 2mth POWERS AND POLYNOMIALS OF TRIANGULAR NUMBERS
Let denote the number of representations of an integer n as a sum of k 2mth powers and denote the number of representations of an integer n as a sum of k polynomial where is a triangular number. We show that for A general relation between the number of representations and the sum of its associated polynomial of triangular numbers for any degree is given as
polynomial, triangular numbers, number of representations.