Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 18, Tome 286 (2002), pp. 5-35
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N. V. Budarina. Deformations of Diophantine systems for quadratic forms of the cubic lattices. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 18, Tome 286 (2002), pp. 5-35. http://geodesic.mathdoc.fr/item/ZNSL_2002_286_a0/
@article{ZNSL_2002_286_a0,
author = {N. V. Budarina},
title = {Deformations of {Diophantine} systems for quadratic forms of the cubic lattices},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {5--35},
year = {2002},
volume = {286},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_286_a0/}
}
TY - JOUR
AU - N. V. Budarina
TI - Deformations of Diophantine systems for quadratic forms of the cubic lattices
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2002
SP - 5
EP - 35
VL - 286
UR - http://geodesic.mathdoc.fr/item/ZNSL_2002_286_a0/
LA - ru
ID - ZNSL_2002_286_a0
ER -
%0 Journal Article
%A N. V. Budarina
%T Deformations of Diophantine systems for quadratic forms of the cubic lattices
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 5-35
%V 286
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_286_a0/
%G ru
%F ZNSL_2002_286_a0
The method of deformation is applied to quadratic Diophantine systems determined by the cubic lattices $\mathbb Z^n$. The method allows one to find from known formulas for the number of representations of quadratic forms by a genus of forms an infinite set of other formulas for equations and systems with smaller number of variables.
