20 problems.
- Asymptotics of \(2/(1+\sqrt{1-y})\) along \(y=1-2\sin^2(2\pi h)\)
- A fixed-point-free involutory automorphism forces an odd abelian group
- \(\QQ\) is not a countable intersection of open subsets of \(\RR\)
- An integrable continuous function is \(o(1/x)\) along a symmetric sequence
- Determinant of congruence on the skew-symmetric matrices
- The symmetric nonidentity elements of \(SO(3)\) form a space homeomorphic to \(\mathbb{RP}^2\)
- The integral of \(1/\sin(1/z)\) around \(\abs{z}=1/5\)
- Irreducibility of two geometric-sum polynomials over \(\QQ\)
- Fourier series and Parseval identity for the periodic function \(x^3\)
- Shift eigenvectors, Fibonacci recurrence, and Binet’s formula
- Two positive solutions and the small branch of an implicit logarithmic equation
- No unital commutative ring has additive group \(\QQ/\ZZ\)
- Surjectivity of \(I-vu\) follows from surjectivity of \(I-uv\)
- Differentiability of the modulus near a simple zero approached from one side
- A fixed-point-free prime-order rational representation has dimension divisible by \(p-1\) — Problem 15
- A continuous-kernel integral operator sends \(L^2\)-Cauchy sequences to uniformly convergent sequences
- Entire functions satisfying \(|f|\le|g|\) are constant multiples
- Real similarity of rational matrices implies rational similarity
- Number of roots in the right half-plane of \(z^{2n}+\alpha^2z^{2n-1}+\beta^2\)
- Evenness and zeros of the solution of \(y''=-|y|\)