Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 156-162
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E. P. Golubeva; O. M. Fomenko. Zeta function of a system of forms. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 156-162. http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a6/
@article{ZNSL_1977_67_a6,
author = {E. P. Golubeva and O. M. Fomenko},
title = {Zeta function of a system of forms},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {156--162},
year = {1977},
volume = {67},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a6/}
}
TY - JOUR
AU - E. P. Golubeva
AU - O. M. Fomenko
TI - Zeta function of a system of forms
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 156
EP - 162
VL - 67
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a6/
LA - ru
ID - ZNSL_1977_67_a6
ER -
%0 Journal Article
%A E. P. Golubeva
%A O. M. Fomenko
%T Zeta function of a system of forms
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 156-162
%V 67
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a6/
%G ru
%F ZNSL_1977_67_a6
It is proved that the zeta function in $m$ complex variables of a system of positive-definite forms of degree $\delta\geqslant2$ with real coefficients extends meromorphically to the entire space $\mathbf C^m$.