18 problems.
- Antiderivative of \(e^{2x}\sin x\)
- Uniform convergence and products of functions
- Nested compact sets have nonempty intersection
- Convergence of \(\prod_{k\ge1}(1-z^k)\)
- Laurent series for \(1/(z(1+z^2))\)
- Cholesky factorization and a related similarity
- Counting subspaces of a finite vector space
- The element \(10\) generates \(\mathbb F_{179}^{\times}\)
- A cubic with odd linear and constant coefficients has no rational root
- Impossible orderings of four real polynomials
- Convergence of sums and termwise products of two series
- Every closed subset of \(\mathbb R\) is the closure of a countable set
- Zeta values from poles of \(\pi/(z^n\tan\pi z)\)
- A Blaschke factor and an extremal value at the origin
- Hilbert matrix and orthonormal polynomial coefficients
- Invariant complement for an operator satisfying \(A^5=I\)
- Conjugacy classes in \(S_3\)
- Reducibility of \(x^4+n\) in \(\mathbb Z[x]\)