The mean of the exponential sum of the divisor function
arXiv:2404.04747
Abstract
We give a relatively simple proof that \[ \int _0^1\left |\sum _{n\leq x}d(n)e(nα)\right |dα\asymp \sqrt x.\]
arXiv:2404.04747
We give a relatively simple proof that \[ \int _0^1\left |\sum _{n\leq x}d(n)e(nα)\right |dα\asymp \sqrt x.\]