Expository Papers & Notes

1. The Davenport–Halberstam theorem for Möbius function.
2. Harmonic sums in arithmetic progressions.
3. The Erdős–Kac theorem.
4. The asymptotic for the second moment of ζ(s) on the critical line.
5. On Selberg's proof of Dirichlet's theorem on arithmetic progressions.
6. A short note on convex functions.
7. The Copeland–Erdős theorem on normal numbers.
8. On geometric proofs of theorems on sums of squares.
9. Vinogradov's estimate for the least quadratic non-residues.
10. Note on chapter 26 of Davenport's multiplicative number theory.
11. The Erdős–Ginzburg–Ziv theorem.
12. Summability and the closed graph theorem.
13. A short proof of the triangle inequality for the pretentious metric.
14. Defining exponential functions via limits.