Number of points of a translated lattice in a domain on a multidimensional ellipsoid
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Abstract
We prove an asymptotic formula for the number of representations of the number m by n-ary quadratic form f which lie in a given residue class (mod a) and in a given domain on the surface\(f\left( {\vec x} \right) = m\). The parameters of the problem are unconstrained. For n=3 the asymptotic formula is conditional (or incomplete).
Keywords
Quadratic Form Asymptotic Formula Residue Class
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Literature cited
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© Plenum Publishing Corporation 1988