Dirichlet divisor problem on Gaussian integers [article]

Andrew V. Lelechenko
2018 arXiv   pre-print
We improve existing estimates of moments of the Riemann zeta function. As a consequence, we are able to derive new estimates for the asymptotic behaviour of ∑_N α< xt_k(α), where N stands for the norm of a complex number and t_k is the k-dimensional divisor function on Gaussian integers.
arXiv:1808.02583v2 fatcat:sluk6sgwgzf2ji44ovzy3ret3i