# On the standard L-function attached to Siegel-Jacobi modular forms of higher index

## TL;DR

This paper investigates the analytic properties and algebraic special values of the standard L-function associated with Siegel-Jacobi modular forms of higher index, extending prior research and connecting to Deligne's conjectures.

## Contribution

It generalizes existing results on L-functions of Siegel-Jacobi forms to higher index cases and establishes algebraicity of special L-values.

## Key findings

- Extended the analytic understanding of L-functions for higher index Siegel-Jacobi forms.
- Proved algebraicity results for special L-values in line with Deligne's conjectures.
- Built upon and generalized previous work by Arakawa and Murase.

## Abstract

In this work we study the analytic properties of the standard L-function attached to Siegel-Jacobi modular forms of higher index, generalizing previous results of Arakawa and Murase. Furthermore, we obtain algebraicity results on special L-values in the spirit of Deligne's Period Conjectures.