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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