List questions from arithmetic-combinatorics | MathQA

What are some good resources to learn arithmetic combinatorics?

Published on 28 Jan 2021 - 1:12

Maximum number of lattice points for rational functions with integer-valued polynomials.

Published on 27 Aug 2021 - 22:45

Ramsey Theory on subsets of $\{1, 2, \dots, n\}$, $k$ colored.

Published on 09 Feb 2022 - 16:04

Permutations where the values $|\sigma(k)-k|$ are distinct

Published on 11 Feb 2022 - 18:10

Generating functions in combinatorics topic: Pascal triangle for bivariate function

Published on 16 Mar 2022 - 19:16

Let $A_N$ be the subset of $\{1,\ldots,\ N\}$ that has no $3$-term A.P's and maximises $\sum_{n\in A_N}\frac{1}{n}.$ Does $A_N\to A003278?$

Published on 23 Feb 2026 - 5:47

If $f:\mathbb{N}\to\mathbb{N}$ is increasing, and $\sum_n\frac{1}{f(n)}$ diverges, then $\sum_n\frac{n^{\alpha}}{f(f(n))}$ diverges.

Published on 21 Dec 2022 - 9:01