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

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

2008-05-26

arxiv.org/abs/0805.3923v1

Mathematics

Number Theory

5 pages

Scientific paper

Let $\mathbb{N}_0$ be a class of natural numbers whose binary decompositions
has even number of 1. We estimate of the sum $\sum\limits_{n\in
\mathbf{N}_0,n\le X}\exp(2\pi i \alpha n^2)$.

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