18 problems.
- Compact subsets of \(C^1[0,1]\) with the \(C^1\) norm
- An upper-semicontinuous function on a compact interval is bounded above
- The integral \(\int_0^\infty \sqrt{x}/(1+x^2)\,dx\)
- Can a holomorphic function on \(\mathbb C^*\) be bounded below by \(|z|^{-1/2}\)?
- Every real endomorphism of \(\mathbb R^3\) has invariant lines and planes
- Simultaneous normal form for two anticommuting involutions on \(\mathbb R^2\)
- Possible orders of elements of \(GL_2(\mathbb F_p)\)
- Denominator of \(\binom{1/2}{n}\) is a power of two
- A distributive identity for gcd and lcm
- Symmetric second differences converge to the second derivative
- Integral inequality implying \(f(t)\le1+t\)
- Roots of \(z^7-4z^3-11\) in the annulus \(1<|z|<2\) — Fall 1996 Problem 12; repeated exactly as Spring 1984 Problem 7
- Surjectivity and noninjectivity of the elementary-symmetric map \(\mathbb C^3\to\mathbb C^3\)
- Length of the image of the unit circle bounds \(|f'(0)|\)
- Real twentieth roots of \(\operatorname{diag}(-1,-1-\varepsilon)\)
- Centralizer of a \(3\times3\) tridiagonal matrix
- Residue of \((x^{26}+x+1)^{73}\) modulo the ideal \((13,x-4)\) of \(\ZZ[x]\)
- Finite groups as permutation and even-permutation groups — Fall 1996 Problem 18; finite groups as permutation and even-permutation groups