20 problems.
- Increasing derivative implies monotonicity of \(f(x)/x\)
- Product of commuting elements of coprime finite orders has product order
- Algebraic criterion for three complex points to form an equilateral triangle
- Taylor coefficients of a function with one simple pole on the unit circle have a limit
- Factorization of \(x^4+x^3+x+3\) over \(\mathbb F_5\)
- Spectral interval bound for the sum of two Hermitian matrices
- Fourier transform of the Gaussian by a cosine integral
- Discrete harmonic oscillator and convergence to the sine function
- Smoothness of the real zeta series on \((1,\infty)\)
- Minimal polynomial of a \(3\times3\) companion matrix
- The cubic field \(\mathbb Q(\sqrt[3]{2})\) and the inverse of \(1-\sqrt[3]{2}\)
- The Euler beta integral \(\int_0^\infty x^{\alpha-1}/(1+x)\,dx\)
- \(1+z+az^n\) always has a root in \(|z|\le2\)
- Convergence and evaluation of \(\int_0^\pi\log(\sin x)\,dx\)
- Cubic polynomial for \(\zeta_7+\zeta_7^{-1}\)
- Uniform convergence of moving Riemann averages of a continuous function
- Comparison theorem for scalar autonomous differential equations
- A positive-definite Hermitian factor forces \(AB\) to have real spectrum
- Every finite field has prime-power cardinality
- Derivative bound for an analytic self-map of the unit disk