18 problems.
- Upper bound for the number of index-\(k\) subgroups of an \(n\)-generated group
- Boundary-length bound for neighborhoods of finite planar sets
- Radius of a Taylor series for a rational function
- Complex similarity of real matrices implies real similarity
- Function field of the rational unit circle
- Boundary lengths admitting a nonzero solution of an Euler equation
- Coefficients of a Hadamard product from a contour integral
- Strict diagonal dominance implies invertibility
- A nonlinear recurrence stays bounded away from zero
- Every finite subgroup of the multiplicative group of a field is cyclic — Problem 10; exact repeat of the finite-subgroup-of-a-field theorem
- Equality of boundary \(L^2\) norms of harmonic conjugates
- An uncertainty-type inequality for a compactly supported function
- A base-ten product expansion of \(1/(1-z)\)
- Every \(f\in\QQ[x]\) has a nonzero multiple whose exponents are all prime
- A disk tangent above the graph at a smooth local minimum
- Nonsimilar matrices with the same minimal and characteristic polynomials
- Linear dependence detected by a Gram determinant
- Smooth decaying solutions of \(f(x)f(y)=f(\sqrt{x^2+y^2})\)