On generalised character counting number of solutions of $x^n = 1$
64168
Problem 4.6, I. Martin Isaacs' Character Theory
26343
Number of certain (0,1)-matrices, Stanley's Enumerative Combinatorics
112390
Solutions of $x^2 \equiv 1 \pmod N$
133101
Number of solutions of $P(x)=e^{ax}$ if $P$ is a polynomial
39724
Combinatorial Identities
56898
Number of monomials of certain degree
96326
Number of $q$-th residues modulo $n$
156542
Number of solutions to $a_1 + a_2 + \dots + a_k = n$ where $n \gt 0$ and $0 \lt a_1 \leq a_2 \leq \dots \leq a_k$ are integers.
146491
Number of solutions of $x_1+x_2+\dots+x_k=n$ with $x_i\le r$
30456
The number of $2 × 2$ invertible matrices with entries from field $\mathbb{Z}_p$
82137
Given a, b How many solutions exists for x, such that: $a \bmod{x}=b $
143321
Number of roots of a polynomial over a finite field
48838
Proving the number of $n$ length binary strings with no consecutive $1's$ $b_n$ is equal to $b_{n-1} + b_{n-2}$
33314
How many non-negative integer solutions does $x_1+x_2+\cdots+x_n=A$ have?
154610
Number of solutions for the given equation in finite field of order 32.
41193
Number of integral roots of a polynomial
56803
Finding solutions to congruence equations