Estimate of a Trigonometrical Sum Involving Naturals with Binary Decompositions of a Special Kind

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161646Let $\mathbb{N}_0$ be a class of natural numbers whose binary decompositions has even number of 1. We estimate of the sum $\sum\limits_{n\in \mathbf{N}_0,n\le X}\exp(2πi αn^2)$.5 pagesNumber TheoryEstimate of a Trigonometrical Sum Involving Naturals with Binary Decompositions of a Special Kindtext