Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 1007-1021
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P. I. Guerzhoy. Jacobi forms and a two-variable $p$-adic $L$-function. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 1007-1021. http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a4/
@article{FPM_2000_6_4_a4,
author = {P. I. Guerzhoy},
title = {Jacobi forms and a~two-variable $p$-adic $L$-function},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {1007--1021},
year = {2000},
volume = {6},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a4/}
}
TY - JOUR
AU - P. I. Guerzhoy
TI - Jacobi forms and a two-variable $p$-adic $L$-function
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 1007
EP - 1021
VL - 6
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a4/
LA - ru
ID - FPM_2000_6_4_a4
ER -
%0 Journal Article
%A P. I. Guerzhoy
%T Jacobi forms and a two-variable $p$-adic $L$-function
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 1007-1021
%V 6
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a4/
%G ru
%F FPM_2000_6_4_a4
A construction which associates a $p$-adic family of modular forms with a Jacobi form is presented in the paper. The construction comes from the consideration of certain differential operators related with the Taylor expansion of Jacobi forms. As an application, a two-variable $p$-adic $L$-function connected with the special values of symmetric square is constructed.