# Kuznetsov’s Trace Formula and the Hecke Eigenvalues of Maass Forms

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*A. Knightly; C. Li*

#### Table of Contents

# Table of Contents

## Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms

- Chapter 1. Introduction 18 free
- Chapter 2. Preliminaries 714
- Chapter 3. Bi-𝐾_{∞}-invariant functions on 𝐺𝐿₂(𝐑) 1320
- Chapter 4. Maass cusp forms 2330
- Chapter 5. Eisenstein series 3340
- Chapter 6. The kernel of 𝑅(𝑓) 5158
- Chapter 7. A Fourier trace formula for 𝐺𝐿(2) 6572
- Chapter 8. Validity of the KTF for a broader class of ℎ 8390
- Chapter 9. Kloosterman sums 109116
- Chapter 10. Equidistribution of Hecke eigenvalues 121128
- Bibliography 125132