Problems in the Theory of Modular Forms

Part I. Problems

1. Jacobi’s q-series
M. Ram Murty, Michael Dewar, Hester Graves

2. The Modular Group
M. Ram Murty, Michael Dewar, Hester Graves

3. The Upper Half-Plane
M. Ram Murty, Michael Dewar, Hester Graves

4. Modular Forms of Level One
M. Ram Murty, Michael Dewar, Hester Graves

5. The Ramanujan τ-function
M. Ram Murty, Michael Dewar, Hester Graves

6. Modular Forms of Higher Level
M. Ram Murty, Michael Dewar, Hester Graves

7. The Petersson Inner Product
M. Ram Murty, Michael Dewar, Hester Graves

8. Hecke Operators of Higher Level
M. Ram Murty, Michael Dewar, Hester Graves

9. Dirichlet Series and Modular Forms
M. Ram Murty, Michael Dewar, Hester Graves

10. Special Topics
M. Ram Murty, Michael Dewar, Hester Graves

Part II. Solutions

11. Jacobi’s q-series
M. Ram Murty, Michael Dewar, Hester Graves

12. The Modular Group
M. Ram Murty, Michael Dewar, Hester Graves

13. The Upper Half-Plane
M. Ram Murty, Michael Dewar, Hester Graves

14. Modular Forms of Level One
M. Ram Murty, Michael Dewar, Hester Graves

15. The Ramanujan τ-Function
M. Ram Murty, Michael Dewar, Hester Graves

16. Modular Forms of Higher Level
M. Ram Murty, Michael Dewar, Hester Graves

17. The Petersson Inner Product
M. Ram Murty, Michael Dewar, Hester Graves

18. Hecke Operators of Higher Level
M. Ram Murty, Michael Dewar, Hester Graves

19. Dirichlet Series and Modular Forms
M. Ram Murty, Michael Dewar, Hester Graves

20. Special Topics
M. Ram Murty, Michael Dewar, Hester Graves

Keywords: Mathematics, Number Theory, Operator Theory, Special Functions, Sequences, Series, Summability