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Asymptotics determined by pairs of additive polynomials

Published online by Cambridge University Press:  04 December 2007

BEN LICHTIN
BEN LICHTIN
Affiliation:
Université Versailles Saint-Quentin 45, Avenue des Etats Unis 78035, Versailles
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Extract

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This article determines the asymptotic behavior of a class of two variable ‘simultaneous’ lattice point problems in ${\bb R}^n$ for any $n \geqslant 2$. An earlier article [Li-3] has studied a similar problem for a large class of such problems in ${\bb R}^2$.

Keywords

lattice point problemsDirichlet serieshypoelliptic polynomialsMellin transform
Type
Research Article
Information
Compositio Mathematica , Volume 107 , Issue 3 , July 1997 , pp. 233 - 267
Copyright
© 1997 Kluwer Academic Publishers