Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 8, Tome 160 (1987), pp. 99-109
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N. A. Zharkovskaya. Continuation of Siegel modular forms to the Siegel–Satake half-plane. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 8, Tome 160 (1987), pp. 99-109. http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a9/
@article{ZNSL_1987_160_a9,
author = {N. A. Zharkovskaya},
title = {Continuation of {Siegel} modular forms to the {Siegel{\textendash}Satake} half-plane},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {99--109},
year = {1987},
volume = {160},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a9/}
}
TY - JOUR
AU - N. A. Zharkovskaya
TI - Continuation of Siegel modular forms to the Siegel–Satake half-plane
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 99
EP - 109
VL - 160
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a9/
LA - ru
ID - ZNSL_1987_160_a9
ER -
%0 Journal Article
%A N. A. Zharkovskaya
%T Continuation of Siegel modular forms to the Siegel–Satake half-plane
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 99-109
%V 160
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a9/
%G ru
%F ZNSL_1987_160_a9
With the aid of the continuation of the Siegel modular forms to the Siegel–Satake half-plane one establishes the relation between the Siegel operators and Hecke operators for modular forms with respect to subgroups of finite index of the group $Sp_n(Z)$.