Shifted convolution sums for SL(m).

In this paper, we study the shifted convolution sums of the Fourier coefficients λ π (1 , ... , 1 , n) and r s , k (n) with k ≥ 3 , where r s , k (n) denotes the number of representations of the positive integer n as sums of skth powers. We are able to generalize or improve previous results. [ABSTRACT FROM AUTHOR]