18 problems.
- Convergence of \(\sum n^{-\alpha}(\log n)^{-\beta}\)
- Distance to a closed subset is continuous and detects membership
- A weighted average of an integrable nonnegative function tends to zero
- Entire \(f,g\) with \(\operatorname{Re}f\le k\operatorname{Re}g\) satisfy \(f=ag+b\)
- A vertically shifted Gaussian integral is independent of the shift
- Interpolation basis for a finite-dimensional space of continuous functions
- \(AB\) and \(BA\) have the same eigenvalues but not the same eigenvectors
- Abelian groups of order \(80\)
- Every ring homomorphism from a full matrix algebra is injective or zero
- A bounded real function with closed graph is continuous
- Decay of the even solution of \(f''=(x^2-1)f\)
- Integral of \(\sin^2x/x^2\) over \(\RR\)
- Every injective entire function is affine linear
- Determinant of the matrix exponential
- Two idempotents with invertible \(I-(P+Q)\) have equal rank
- A finite-dimensional reduced commutative complex algebra has nontrivial idempotents
- Order of \(GL_2(\ZZ/p^n\ZZ)\)
- Splitting extensions with finite-cyclic and free-abelian quotients