E. V. Podsypanin, “Number of integral points in an elliptic region (a remark on a theorem of A. V. Malyshev)”, Zap. Nauchn. Sem. LOMI, 1979, Volume 82,Pages <nobr>100

This article is cited in 6 papers

Number of integral points in an elliptic region (a remark on a theorem of A. V. Malyshev)

E. V. Podsypanin

Abstract: One gives a refinement of A. V. Malyshev's asymptotic formula (Tr. Mat. Inst. Akad. Nauk SSSR, 65, 212 (1962)) for the number of integral points in a region on the surface of an $n$-dimensional ellipsoid in the case $n\geqslant4$. One corrects an error in the mentioned paper.

UDC: 511.512