# Petersson Norm of Cusp Forms Associated to Real Quadratic Fields

## TL;DR

This paper computes the Petersson norm of certain weight one cusp forms linked to real quadratic fields, expressing it through the Rademacher symbol and the field's regulator, advancing understanding of automorphic forms.

## Contribution

It provides an explicit formula for the Petersson norm of cusp forms associated with real quadratic fields, connecting automorphic forms with algebraic invariants.

## Key findings

- Explicit formula for Petersson norm in terms of Rademacher symbol
- Connection between cusp forms and real quadratic field invariants
- Enhanced understanding of automorphic forms related to quadratic fields

## Abstract

In this article, we compute the Petersson norm of a family of weight one cusp forms constructed by Hecke and express it in terms of the Rademacher symbol and the regulator of real quadratic field.