FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 4, PAGES 1007-1021

**Jacobi forms and a two-variable $p$-adic
$L$-function**

P. I. Guerzhoy

Abstract

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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.

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Last modified: February 13, 2001