On certain sums of number theory

DOI10.1142/S1793042122501056zbMath1502.11100arXiv2009.05751OpenAlexW4280588880WikidataQ114071793 ScholiaQ114071793MaRDI QIDQ5094205

Olivier Bordellès

Publication date: 2 August 2022

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

Full work available at URL: https://arxiv.org/abs/2009.05751

zbMATH Keywords

Vaughan's identityexponent pairsDirichlet hyperbola principleexponential sums of type I and II

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37)

Related Items (9)

Three-dimensional exponential sums under constant perturbation ⋮ ON THE PRIMES IN FLOOR FUNCTION SETS ⋮ DISTRIBUTION OF r-FREE INTEGERS OVER A FLOOR FUNCTION SET ⋮ On fractional sums of the divisor functions ⋮ Sparse sets that satisfy the prime number theorem ⋮ On general sums involving the floor function with applications to \(k\)-free numbers ⋮ On a sum involving small arithmetic function and the integral part function ⋮ On a variant of the prime number theorem ⋮ Primes in floor function sets

Cites Work

• On a sum involving the Mangoldt function
• On a sum involving the divisor function
• Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski
• A new \(k\)th derivative estimate for exponential sums via Vinogradov's mean value
• Decoupling, exponential sums and the Riemann zeta function
• Some extremal functions in Fourier analysis
• An elementary method in prime number theory
• Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients
• Sums of two relatively prime cubes
• On a sum involving the Euler function
• On a sum involving the Euler function
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