Lattice points in super spheres
Krätzel, Ekkehard
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 373-391 / Harvested from Czech Digital Mathematics Library
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In this article we consider the number $R_{k,p}(x)$ of lattice points in $p$-dimensional super spheres with even power $k \ge 4$. We give an asymptotic expansion of the $d$-fold anti-derivative of $R_{k,p}(x)$ for sufficiently large $d$. From this we deduce a new estimation for the error term in the asymptotic representation of $R_{k,p}(x)$ for $p

Publié le : 1999-01-01
Classification:  11P21 
@article{119094,
     author = {Ekkehard Kr\"atzel},
     title = {Lattice points in super spheres},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {373-391},
     zbl = {0993.11050},
     mrnumber = {1732659},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119094}
}

Krätzel, Ekkehard. Lattice points in super spheres. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 373-391. http://gdmltest.u-ga.fr/item/119094/

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