\(B\)-free numbers in short arithmetic progressions

DOI10.1016/j.jnt.2004.10.003zbMath1138.11339OpenAlexW1970225520MaRDI QIDQ2485352

Alexandru Zaharescu, Emre Alkan

Publication date: 4 August 2005

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.10.003

zbMATH Keywords

exponential sumsarithmetic progressions\(B\)-free numbers

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Distribution of integers with specified multiplicative constraints (11N25) Arithmetic progressions (11B25)

Related Items (8)

ON THE DISTRIBUTION OF -FREE NUMBERS AND NON-VANISHING FOURIER COEFFICIENTS OF CUSP FORMS ⋮ AVERAGE SIZE OF GAPS IN THE FOURIER EXPANSION OF MODULAR FORMS ⋮ On the gaps between nonzero Fourier coefficients of eigenforms with CM ⋮ On the gaps between non-zero Fourier coefficients of cusp forms of higher weight ⋮ On sums over the Möbius function and discrepancy of fractions ⋮ The first simultaneous sign change and non-vanishing of Hecke eigenvalues of newforms ⋮ Diophantine approximation with mild divisibility constraints ⋮ Discretization of prime counting functions, convexity and the Riemann hypothesis

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• On the difference of consecutive terms of sequences defined by divisibility properties
• On the difference of consecutive terms of sequences defined by divisibility properties, II
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