On Bourgain's bound for short exponential sums and squarefree numbers

DOI10.4064/aa7896-12-2015zbMath1338.11089arXiv1407.2947OpenAlexW2962735922MaRDI QIDQ2787076

Ramon M. Nunes

Publication date: 24 February 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2947

zbMATH Keywords

exponential sumsarithmetic progressionssquarefree integers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (2)

On the distribution of reduced fractions with squarefree denominators ⋮ On the distribution of modular inverses from short intervals

Cites Work

• Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions
• Squarefree numbers in arithmetic progressions
• THE AVERAGE VALUE OF DIVISOR SUMS IN ARITHMETIC PROGRESSIONS
• The distribution of r ‐tuples of square‐free numbers
• A Remark on Solutions of the Pell Equation

This page was built for publication: On Bourgain's bound for short exponential sums and squarefree numbers