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Lp and Weak–Lp estimates for the number of integer points in translated domains

Published online by Cambridge University Press:  30 September 2015

LUCA BRANDOLINI ,
LEONARDO COLZANI ,
GIACOMO GIGANTE  and
GIANCARLO TRAVAGLINI
LUCA BRANDOLINI
Affiliation:
Dipartimento di Ingegneria Gestionale, dell'Informazione e della Produzione, Università di Bergamo, Viale Marconi 5, 24044 Dalmine BG, Italy. e-mail: [email protected]
LEONARDO COLZANI
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, Via Cozzi 55, 20125 Milano, Italy. e-mail: [email protected]
GIACOMO GIGANTE
Affiliation:
Dipartimento di Ingegneria Gestionale, dell'Informazione e della Produzione, Università di Bergamo, Viale Marconi 5, 24044 Dalmine BG, Italy. e-mail: [email protected]
GIANCARLO TRAVAGLINI*
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, Via Cozzi 55, 20125 Milano, Italy.
*
e-mail: [email protected]
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Abstract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 159 , Issue 3 , November 2015 , pp. 471 - 480
Copyright
Copyright © Cambridge Philosophical Society 2015 

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References

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