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- W2022129825 abstract "Let f1(x1,..., xl1) and f2(y1,...,yl2) be positive definite primitive quadratic forms in l1 and l2 variables, respectively. We obtain new results in the well-known problem on the number of lattice points on the cone f1(x1,...,xl1)=f2(y1,...,yl2), in the domain f1(x1,...,xl1)≦N for N»∞. Our technical tool is the Rankin-Selberg convolution. In several special cases the results can be sharpened by other methods. In addition, new facts concerning the uniform distribution of lattice points on ellipsoids in l variables, l odd, l≧5 are obtained." @default.
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- W2022129825 date "1997-03-01" @default.
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- W2022129825 title "Distribution of lattice points on surfaces of second order" @default.
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- W2022129825 doi "https://doi.org/10.1007/bf02439206" @default.
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