| 1 |
Exercises 1-8 from the prime number theorem (PDF) |
Lec #4 |
| 2 |
Exercises 1-10 from Dirichlet series and arithmetic functions (PDF) |
Lec #7 |
| 3 |
Exercises 1-5 from Dirichlet characters and Dirichlet L-functions (PDF)
Exercises 1-6 from primes in arithmetic progressions (PDF)
|
Lec #10 |
| 4 |
Exercises 1-5 from the functional equation for the Riemann zeta function (PDF)
Exercises 1-4 from the functional equations for Dirichlet L-functions (PDF)
|
Lec #13 |
| 5 |
Exercises 5-9 from the functional equations for Dirichlet L-functions (PDF)
Exercise 1 from error bounds in the prime number theorem (PDF)
Exercises 1-6 from more on the zeroes of zeta (PDF)
|
Lec #17 |
| 6 |
Exercises 1-4 from von Mangoldt's formula (PDF)
Exercises 1-6 from revisiting the sieve of Eratosthenes (PDF)
|
Lec #20 |
| 7 |
Exercises 1-2 from Brun's combinatorial sieve (PDF)
Exercises 1-5 from the Selberg sieve (PDF)
|
Lec #23 |
| 8 |
Exercises 6-9 from the Selberg sieve (PDF)
Exercises 1-5 from applying the Selberg sieve (PDF)
|
Lec #25 |
| 9 |
Exercises 1-4 from introduction to large sieve inequalities (PDF)
Exercises 1-3 from a multiplicative large sieve inequality (PDF)
|
Lec #27 |
| 10 |
Exercises 1-2 from the Bombieri-Vinogradov theorem (statement) (PDF)
Exercises 1-5 from the Bombieri-Vinogradov theorem (proof) (PDF)
|
Lec #30 |
| 11 |
Exercises 1-5 from prime k-tuples (PDF)
Exercises 1-3 from short gaps between primes (after Goldston-Pintz-Yildirim) (PDF)
|
Lec #33 |