GCD sums and sum-product estimates

In this note we prove a new estimate on so-called GCD sums (also called Gál sums), which, for certain coefficients, improves significantly over the general bound due to de la Bretèche and Tenenbaum. We use our estimate to prove new results on the equidistribution of sequences modulo 1, improving ove...

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Bibliographic Details
Main Authors: Bloom, TF, Walker, A
Format: Journal article
Language:English
Published: Springer 2019