# The special values of $L$-functions at $s=1$ of theta products of weight 3

## TL;DR

This paper computes the special values at s=1 of L-functions associated with theta products of weight 3, expressing them through generalized hypergeometric functions, advancing understanding of their arithmetic properties.

## Contribution

It provides explicit formulas for L-values of theta products of weight 3 in terms of hypergeometric functions, a novel connection in the field.

## Key findings

- Explicit formulas for L-values at s=1 for specific theta products
- Expression of these values in terms of generalized hypergeometric functions
- Enhanced understanding of the arithmetic nature of these L-values

## Abstract

In this paper, we compute the special values of $L$-functions at $s=1$ of some theta products of weight $3$, and express them in terms of special values of generalized hypergeometric functions.