Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski

DOI10.1007/s10998-019-00300-6zbMath1449.11011OpenAlexW2990490052MaRDI QIDQ2300148

Jie Wu

Publication date: 26 February 2020

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-019-00300-6

zbMATH Keywords

exponential sumsasymptotic formulaintegral partEuler totient functionexponent pairO-estimate

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Gauss and Kloosterman sums; generalizations (11L05) Applications of sieve methods (11N36) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (19)

Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski, 2 ⋮ The fractional sum of small arithmetic functions ⋮ On a sum involving small arithmetic functions ⋮ On certain sums of number theory ⋮ Three-dimensional exponential sums under constant perturbation ⋮ ON THE PRIMES IN FLOOR FUNCTION SETS ⋮ On fractional sums of the divisor functions ⋮ Sparse sets that satisfy the prime number theorem ⋮ On a sum involving certain arithmetic functions on Piatetski-Shapiro and Beatty sequences ⋮ 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 ⋮ On a sum involving certain arithmetic functions and the integral part function ⋮ Primes in floor function sets ⋮ On a sum involving the sum-of-divisors function ⋮ On a sum involving the Mangoldt function ⋮ On a sum involving the divisor function ⋮ A variant of the prime number theorem ⋮ On a generalisation of Bordellès-Dai-Heyman-Pan-Shparlinski's conjecture

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