18 problems.
- Ambient Lebesgue number for an open cover of a compact subset
- A decaying solution of \(y^{(4)}+y=0\) with prescribed initial data
- The integral \(\int_0^\infty (1+x^\alpha)^{-1}\,dx\) for \(\alpha>1\)
- Sharp bound at \(\log2\) for a holomorphic function with a prescribed zero
- A homogeneous function with bilinear polarization is a quadratic form
- Nullity bound for a product of linear transformations
- \(A\) is positive semidefinite iff \(\operatorname{tr}(AB)\ge0\) for all positive semidefinite \(B\)
- A non-zero-divisor in a finite unital ring is invertible
- A finite group whose Sylow subgroups are all normal and abelian is abelian
- Fundamental theorem of calculus when the derivative is Riemann integrable
- Minimum area of a hexagon circumscribed about the unit circle
- A radius-independent weighted flux for a punctured-plane PDE
- Entire functions bounded by the principal logarithm on the slit plane
- Number of zeros of \(\sum_j a_j/(z-z_j)\) when the first \(m\) moments vanish
- The matrices \(AB\) and \(BA\) have the same eigenvalues
- Consequences of a two-dimensional null space for a \(3\times3\) matrix
- Order of \(\GL_n(\FF_q)\) — Fall 1998 Problem 17; order of $GL_n(\mathbb F_q)$
- The field \(\QQ(t_1,\ldots,t_n)\) embeds in \(\RR\)