Topics in Number Theory (2025 Spring)

Riemann zeta-function and Dirichlet’s L-functions

I rewrite Chapter 16 and explain the beautiful functional equations of zeta-function and L-function here pdf-2026.

3.06

Exercise 1.1, 1.3, 1.16, 1.21, 1.23, 1.25, 1.33
Exercise 2.6-2.8(Another proof of infinitude of primes), 2.10, 2.12, 2.22, 2.25, 2.26

3.20

Exercise 3.17-3.21
Exercise 4.6(Fermat prime), 4.11
Exercise 5.5, 5.6, 5.7, 5.8, 5.11, 5.29-5.31

4.3

Exercise 6.10, 6.15
Exercise 7.8, 7.15
Exercise 8.1, 8.2

4.22

Exercise 8.21, 8.2
Exercise 9.19, 9.33-9.37

5.8

Exercise 10.7-10.9, 10.23, 10.27
Exercise 11.9, 11.17

This is my homework:
HW1: pdf, pdf-2026
HW2: pdf, pdf-2026
HW3: pdf-2026
HW4: pdf-2026
HW5: pdf-2026
HW6: pdf-2026