$L^{p}$ and Weak-$L^{p}$ estimates for the number of integer points in translated domains
| Autor: | Leonardo Colzani, Giancarlo Travaglini, Luca Brandolini, Giacomo Gigante |
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| Přispěvatelé: | Brandolini, L, Colzani, L, Gigante, G, Travaglini, G |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Mathematics - Number Theory
General Mathematics Combinatorics 11H06 52C07 Mathematics - Analysis of PDEs Settore MAT/05 - Analisi Matematica FOS: Mathematics ComputingMethodologies_DOCUMENTANDTEXTPROCESSING Lattice points Discrepancy Number Theory (math.NT) MAT/05 - ANALISI MATEMATICA Analysis of PDEs (math.AP) Volume (compression) Integer (computer science) Mathematics |
| ISSN: | 0305-0041 |
| Popis: | Revisiting and extending a recent result of M. Huxley, we estimate the Lp($\mathbb{T}$d) and Weak–Lp($\mathbb{T}$d) norms of the discrepancy between the volume and the number of integer points in translated domains. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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