Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 3, Tome 211 (1994), pp. 150-157
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E. V. Orlovskaya. A minimum for the theta function in three variables and the solution of the Rankin–Sobolev problem in a three-dimensional space. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 3, Tome 211 (1994), pp. 150-157. http://geodesic.mathdoc.fr/item/ZNSL_1994_211_a12/
@article{ZNSL_1994_211_a12,
author = {E. V. Orlovskaya},
title = {A minimum for the theta function in three variables and the solution of the {Rankin{\textendash}Sobolev} problem in a~three-dimensional space},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {150--157},
year = {1994},
volume = {211},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_211_a12/}
}
TY - JOUR
AU - E. V. Orlovskaya
TI - A minimum for the theta function in three variables and the solution of the Rankin–Sobolev problem in a three-dimensional space
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1994
SP - 150
EP - 157
VL - 211
UR - http://geodesic.mathdoc.fr/item/ZNSL_1994_211_a12/
LA - ru
ID - ZNSL_1994_211_a12
ER -
%0 Journal Article
%A E. V. Orlovskaya
%T A minimum for the theta function in three variables and the solution of the Rankin–Sobolev problem in a three-dimensional space
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 150-157
%V 211
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_211_a12/
%G ru
%F ZNSL_1994_211_a12
In this paper, an absolute minimum is found for the specialized theta function defined by a positive-definite ternery quadratic form with real coefficients. The result obtained yields an absolute minimum for the Epstein zeta function of the corresponding form. Bibliography: 15 titles.
