# Kernels for products of Hilbert L-functions

## TL;DR

This paper investigates kernel functions associated with L-functions and their products for Hilbert cusp forms over real quadratic fields, extending previous work on elliptic modular forms.

## Contribution

It introduces new kernel functions for Hilbert L-functions, broadening the scope of prior elliptic modular form results.

## Key findings

- Extended kernel function theory to Hilbert cusp forms
- Connected kernel functions to products of L-functions over real quadratic fields
- Generalized previous elliptic modular form results

## Abstract

We study kernel functions of L-functions and products of L-functions of Hilbert cusp forms over real quadratic fields. This extends the results on elliptic modualr forms by Diamantis and C. O'Sullivan. .