MOMENT ESTIMATES FOR EXPONENTIAL SUMS OVER k-FREE NUMBERS

DOI10.1142/S1793042112501515zbMath1348.11061arXiv1408.1533OpenAlexW1998027525MaRDI QIDQ4918850

Eugen Keil

Publication date: 6 May 2013

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

Full work available at URL: https://arxiv.org/abs/1408.1533

zbMATH Keywords

exponential sumintegralsquarefree numbers\(k\)-free numbers

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Applications of sieve methods (11N36)

Related Items (2)

Moment estimates for the exponential sum with higher divisor functions ⋮ Rational points and prime values of polynomials in moderately many variables

Cites Work

• Application of the circle method on multidimensional limit-periodic functions
• ON THE EXPONENTIAL SUM WITH SQUARE-FREE NUMBERS
• The L ¹ mean of Exponential Sums over Primes
• On the exponential sum over k–free numbers
• The exponential sum over squarefree integers
• On the exponential sum over \(r\)-free integers

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