Improved -Boundedness for Integral -Spherical Maximal Functions

TC Anderson, B Cook, K Hughes… - arXiv preprint arXiv …, 2017 - arxiv.org
We improve the range of $\ell^ p (\mathbb Z^ d) $-boundedness of the integral $ k $-
spherical maximal functions introduced by Magyar. The previously best known bounds for …

Maximal functions and ergodic averages related to Waring's problem

K Hughes - Israel Journal of Mathematics, 2017 - Springer
We study the arithmetic analogue of maximal functions on diagonal hypersurfaces. This
paper is a natural step following the papers of [13],[14] and [16]. We combine more precise …

Arithmetic analogues in harmonic analysis: Results related to Waring's problem

K Hughes - 2012 - dataspace.princeton.edu
During the past score of years, there has been renewed interest in the area of discrete
analogues in harmonic analysis. This began with an observation of M. Reisz in his work on …

On the ergodic Waring–Goldbach problem

TC Anderson, B Cook, K Hughes, A Kumchev - Journal of Functional …, 2022 - Elsevier
We prove an asymptotic formula for the Fourier transform of the arithmetic surface measure
associated to the Waring–Goldbach problem and provide several applications, including …

Problems and results related to Waring's problem: Maximal functions and ergodic averages

K Hughes - arXiv preprint arXiv:1310.7904, 2013 - arxiv.org
We study the arithmetic analogue of maximal functions on diagonal hypersurfaces. This
paper is a natural step following the papers of\cite {Magyar_dyadic},\cite {Magyar_ergodic} …

On the ergodic Waring--Goldbach problem

TC Anderson, B Cook, K Hughes… - arXiv preprint arXiv …, 2017 - arxiv.org
We prove an asymptotic formula for the Fourier transform of the arithmetic surface measure
associated to the Waring--Goldbach problem and provide several applications, including …

Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres

A Iosevich, B Langowski, M Mirek, TZ Szarek - Mathematische Annalen, 2024 - Springer
We establish an asymptotic formula for the number of lattice points in the sets S h 1, h 2, h 3
(λ):= x∈ Z+ 3:⌊ h 1 (x 1)⌋+⌊ h 2 (x 2)⌋+⌊ h 3 (x 3)⌋= λ with λ∈ Z+; where functions h 1, h …

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S POZICIJA - efsa.unsa.ba
9. Organizacija–vodič za predavanja i vježbe, koautor, Ekonomski fakultet Sarajevo, 2006.
10. Samozapošljavanje mladih pokretanjem malog biznisa, Međunarodni forum Bosna …