Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 129-136
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O. M. Fomenko. Modular forms and Hilbert functions for the field $Q(\sqrt 2)$. Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 129-136. http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a1/
@article{MZM_1968_4_2_a1,
author = {O. M. Fomenko},
title = {Modular forms and {Hilbert} functions for the field $Q(\sqrt 2)$},
journal = {Matemati\v{c}eskie zametki},
pages = {129--136},
year = {1968},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a1/}
}
TY - JOUR
AU - O. M. Fomenko
TI - Modular forms and Hilbert functions for the field $Q(\sqrt 2)$
JO - Matematičeskie zametki
PY - 1968
SP - 129
EP - 136
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a1/
LA - ru
ID - MZM_1968_4_2_a1
ER -
%0 Journal Article
%A O. M. Fomenko
%T Modular forms and Hilbert functions for the field $Q(\sqrt 2)$
%J Matematičeskie zametki
%D 1968
%P 129-136
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a1/
%G ru
%F MZM_1968_4_2_a1
A new proof is given of Hammond's result on the algebraic structure of the graduated ring of integral modular forms of even weight relative to the Hilbert modular group $\Gamma$ for the field $Q(\sqrt2)$. The algebraic structure is also found of the field of all modular Hilbert functions relative to $\Gamma$.
