1. Intro to partition function and modular forms 1 2. Partition function leading term, without modular forms 2 3. Modular form basics 5 4. First application: Rademacher’s formula 6 4.1. A Transformation Formula for the η Function 6 4.2. Rademacher’s Convergent Series 14 5. Second application: Ramanujan congruences 22 5.1. Additional Results from Modular Functions 22 5.2. Proof of Ramanujan Cong...

Under 5 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 8.5 5 to 9 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 9.3 10 to 14 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 8.9 15 to 19 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 8.9 20 to 24 years . . . . . . . . . . . . . . . . . . . . . . ....

Under 5 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 6.6 5 to 9 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 6.0 10 to 14 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 7.8 15 to 19 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 6.6 20 to 24 years . . . . . . . . . . . . . . . . . . . . . . ....

Under 5 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 9.8 5 to 9 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 7.6 10 to 14 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 6.7 15 to 19 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 5.8 20 to 24 years . . . . . . . . . . . . . . . . . . . . . . ....

Under 5 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4.6 5 to 9 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 5.6 10 to 14 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 6.5 15 to 19 years . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 10.2 20 to 24 years . . . . . . . . . . . . . . . . . . . . . . ...

Thanks [4] 6 years 34 weeks ago Hi Amit, It is really great. [5] 6 years 34 weeks ago Vets [6] 7 years 5 weeks ago Thank you [7] 7 years 20 weeks ago Heartiest Congratulations to Amit [8] 7 years 22 weeks ago Thank you! [9] 7 years 24 weeks ago Thanks a lot. [10] 7 years 24 weeks ago Congrats!!! [11] 7 years 25 weeks ago Non Degree course [12] 8 years 19 weeks ago Have you taken Prof. [13] 8 ye...

1. Pseudorandomness and the Blum-Micali generator: 4/1/14 1 2. Proof of Security of the Blum-Micali Generator: 4/3/14 4 3. The Goldreich-Levin Theorem: 4/8/14 6 4. Commitments: 4/10/14 9 5. Commitments II: 4/17/14 12 6. Oblivious Transfer: 4/22/14 14 7. Oblivious Transfer II: 4/24/14 16 8. Zero-Knowledge Proofs: 4/29/14 18 10. Zero-Knowledge Proofs III: 5/6/14 21 11. Zero-Knowledge Proofs IV: 5...