Waring's problem with restrictions on $q$-digital functions

The present paper is devoted to generalize earlier works of Thuswaldner--Tichy, Pfeiffer--Thuswaldner and Wagner on Waring's problem with digital constraints to systems of restrictions on $q$-digital functions. The result follows from estimates of corresponding exponential sums.

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Publication Details

Journal
Publicationes Mathematicae Debrecen
Published
2024-10-01
DOI
https://doi.org/10.5486/pmd.2024.9916
Primary Topic
Computability, Logic, AI Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

Waring's problem with restrictions on $q$-digital functions

Karam Aloui, Walid Wannes
Publicationes Mathematicae Debrecen
Computability, Logic, AI Algorithms
article

Waring's problem with restrictions on $q$-digital functions

Karam Aloui, Walid Wannes
article en

Abstract

The present paper is devoted to generalize earlier works of Thuswaldner--Tichy, Pfeiffer--Thuswaldner and Wagner on Waring's problem with digital constraints to systems of restrictions on $q$-digital functions. The result follows from estimates of corresponding exponential sums.

Publicationes Mathematicae DebrecenVol. 105(3-4)
Openalex Percentile: Top 79%
Computability, Logic, AI Algorithms
DOISourceOpenAlex
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Waring's problem with restrictions on $q$-digital functions — Karam Aloui, Walid Wannes · Publicationes Mathematicae Debrecen (2024) | TGRS Research Map | TGRS