A triple convolution sum of the divisor function

Bikram Misra, M. Ram Murty, Biswajyoti Saha

We study the triple convolution sum of the divisor function given by $$\sum _{n\le x}d(n)d(n-h)d(n+h)$$ for $h\ne 0$ and $d(n)$ denotes the number of positive divisors of $n$. Ba…