Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 6, Tome 144 (1985), pp. 5-20
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V. A. Bykovskii. Arithmetic-analytical properties of binary positive definite quadratic forms. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 6, Tome 144 (1985), pp. 5-20. http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a0/
@article{ZNSL_1985_144_a0,
author = {V. A. Bykovskii},
title = {Arithmetic-analytical properties of binary positive definite quadratic forms},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {5--20},
year = {1985},
volume = {144},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a0/}
}
TY - JOUR
AU - V. A. Bykovskii
TI - Arithmetic-analytical properties of binary positive definite quadratic forms
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1985
SP - 5
EP - 20
VL - 144
UR - http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a0/
LA - ru
ID - ZNSL_1985_144_a0
ER -
%0 Journal Article
%A V. A. Bykovskii
%T Arithmetic-analytical properties of binary positive definite quadratic forms
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 5-20
%V 144
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a0/
%G ru
%F ZNSL_1985_144_a0
One considers the arithmetic and analytic properties of positive-definite binary quadratic forms of discriminant $-Dn^2$. The arithmetic structure of the set of these forms is described by forms of discriminant $-D$ and by the Hecke operators $T(n)$. One gives some arithmetic and analytic consequences.
