Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 100-102
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E. V. Podsypanin. Number of integral points in an elliptic region (a remark on a theorem of A. V. Malyshev). Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 100-102. http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a5/
@article{ZNSL_1979_82_a5,
author = {E. V. Podsypanin},
title = {Number of integral points in an elliptic region (a~remark on a theorem of {A.} {V.~Malyshev)}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {100--102},
year = {1979},
volume = {82},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a5/}
}
TY - JOUR
AU - E. V. Podsypanin
TI - Number of integral points in an elliptic region (a remark on a theorem of A. V. Malyshev)
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1979
SP - 100
EP - 102
VL - 82
UR - http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a5/
LA - ru
ID - ZNSL_1979_82_a5
ER -
%0 Journal Article
%A E. V. Podsypanin
%T Number of integral points in an elliptic region (a remark on a theorem of A. V. Malyshev)
%J Zapiski Nauchnykh Seminarov POMI
%D 1979
%P 100-102
%V 82
%U http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a5/
%G ru
%F ZNSL_1979_82_a5
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.
