20 problems.
- The integral \(\int_0^\infty\frac{1-\cos(ax)}{x^2}\,dx\)
- A unique real root of \(ze^{\lambda-z}=1\) in the unit disk
- Number of monic irreducible quadratics and cubics over \(\FF_5\)
- Finite multiplicative subgroups of the complex numbers are cyclic — Problem 4; exact repeat of Berkeley Fall 1978 Problem 18
- Zeros of \(z^4+3z^2+z+1\) in the right half-plane
- Extreme eigenvalue bounds for a tridiagonal matrix
- Divergence to infinity for an autonomous ODE
- \((n+1)\int_0^1x^nf(x)\,dx\to f(1)\) for continuous \(f\)
- Maximum Euclidean norm on the ellipsoid \(v^TAv=1\)
- If \(f_n(x_n)\to f(x)\) whenever \(x_n\to x\), then \(f\) is continuous
- A subgroup of \(S_6\) containing an element of order six has an index-two normal subgroup
- The integral \(\int_0^{2\pi}e^{e^{i\theta}}\,d\theta\)
- Sharp derivative bound for a bounded analytic function on a half-plane
- Eigenvectors and eigenvalues of \(AB\) and \(BA\)
- Continuous probability densities with zero variance
- A common quadratic-field root of two rational polynomials
- If the square of a map is a contraction then the map has a unique fixed point
- Iterated-centralizer identities in a group
- Simultaneous normalization of two positive-definite real forms
- Error bound for left-endpoint Riemann sums