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On the number of points of an inhomogeneous lattice in a domain on a multidimensional ellipsoid. (Russian) Zbl 0594.10017

Asymptotic formulas are proved for the number of representations of integers m by n-ary quadratic forms f, which are lying in a given residue class (mod a) and in a given region on the surface f(\(\vec x)=m\). There are no restrictions on the parameters of the problems, only \(n\geq 3\), and in the case \(n=3\) results are depending on some unproven hypothesis.
Reviewer: M.Peters

MSC:

11E12 Quadratic forms over global rings and fields
11E16 General binary quadratic forms
11P21 Lattice points in specified regions
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