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

Karen M. Eminyan

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arXiv · 0805.3923

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

Karen M. Eminyan

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Abstract

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

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Karen M. Eminyan. 2008-05-26. Estimate of a Trigonometrical Sum Involving Naturals with Binary Decompositions of a Special Kind. https://arxiv.org/abs/0805.3923

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