Matematičeskie zametki, Tome 9 (1971) no. 1, pp. 71-76
Citer cet article
O. M. Fomenko. Application of Eichler's reduction formula to the representation of numbers by certain quaternary quadratic forms. Matematičeskie zametki, Tome 9 (1971) no. 1, pp. 71-76. http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a9/
@article{MZM_1971_9_1_a9,
author = {O. M. Fomenko},
title = {Application of {Eichler's} reduction formula to the representation of numbers by certain quaternary quadratic forms},
journal = {Matemati\v{c}eskie zametki},
pages = {71--76},
year = {1971},
volume = {9},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a9/}
}
TY - JOUR
AU - O. M. Fomenko
TI - Application of Eichler's reduction formula to the representation of numbers by certain quaternary quadratic forms
JO - Matematičeskie zametki
PY - 1971
SP - 71
EP - 76
VL - 9
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a9/
LA - ru
ID - MZM_1971_9_1_a9
ER -
%0 Journal Article
%A O. M. Fomenko
%T Application of Eichler's reduction formula to the representation of numbers by certain quaternary quadratic forms
%J Matematičeskie zametki
%D 1971
%P 71-76
%V 9
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a9/
%G ru
%F MZM_1971_9_1_a9
It is shown how Eichler's formula can be used to obtain exact formulas for the number of representations of positive integers by certain positive-definite quadratic forms of principal type in four variables, in terms of traces of Frobenius endomorphisms of appropriate elliptic curves over fields of finite characteristic; as examples, some new exact formulas are derived.
