|
|
|
Hurwitz Type Results for Sum of Two Triangular Numbers |
|
PP: 133-135 |
|
doi:10.18576/jant/030209
|
|
Author(s) |
|
Chandrashekar Adiga,
M. S. Surekha,
A. Vanitha,
|
|
Abstract |
|
Let t_2(n) denote the number of representations of n as a sum of two triangular numbers and t_(a,b)(n) denote number of representations of n as a sum of a times triangular number and b times triangular number. In
this paper, we prove number of results in which generating functions of t_2(n) and t_(1,3) are infinite product. We also establish relations between
t_(1,3)(n); t_(1,12)(n); t_(3,4)(n); t_2(n) and t_(1,4)(n). |
|
|
|
|