CONTENTS - 8
1. PREFACE - 10
2. MOTIVATIONS FOR BLACK HOLE PARTITION FUNCTIONS - 18
3. BLACK HOLES IN M-THEORY - 54
4. VECTOR-VALUED MODULAR FORMS - 84
5. INTERPRETATIONS AND APPLICATIONS - 108
6. DISCUSSION AND CONCLUSION - 136
BIBLIOGRAPHY - 140
SUMMARY - 154
SAMENVATTING - 158
ACKNOWLEDGEMENTS - 162