Teterin, Yu. G. On the number of points of an inhomogeneous lattice in a domain on a multidimensional ellipsoid. (Russian) Zbl 0594.10017 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 151, 176-183 (1986). 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 Cited in 3 Reviews MSC: 11E12 Quadratic forms over global rings and fields 11E16 General binary quadratic forms 11P21 Lattice points in specified regions Keywords:lattice points in ellipsoids; inhomogeneous lattices; Asymptotic formulas; representations of integers; n-ary quadratic forms PDFBibTeX XMLCite \textit{Yu. G. Teterin}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 151, 176--183 (1986; Zbl 0594.10017) Full Text: EuDML