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 12 Does anyone know a closed-form expression for a bijection between $\mathbb{N}^k$ and $\mathbb{N}$? 10 Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$ 10 How to prove “eigenvalues of polynomial of matrix $A$ = polynomial of eigenvalues of matrix $A$ ” 9 Compute $\sum_{j=1}^k\cos^n(j\pi/k)\sin(nj\pi/k)$ 8 Simpler proof - Non atomic measures

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 +5 Does $I^{-1}$ invertible imply $I$ invertible? +10 If $u$ is separable over $K$ and $v$ is purely inseparble over $K$, then $K(u,v)=K(u+v)$. +10 How to prove “eigenvalues of polynomial of matrix $A$ = polynomial of eigenvalues of matrix $A$ ” +5 Maximal ideals of polynomial rings in infinitely many variables

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 19 Explicit formula for Bernoulli numbers by using only the recurrence relation 12 Strength of the statement “$\mathbb R$ has a Hamel basis over $\mathbb Q$” 9 Obtaining binomial coefficients without “counting subsets” argument 9 Functions $f$ such that $f(z+1)-f(z)$ is holomorphic 8 Maximal ideals of polynomial rings in infinitely many variables

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 53 abstract-algebra × 19 25 general-topology × 11 51 real-analysis × 25 22 complex-analysis × 9 34 sequences-and-series × 14 18 linear-algebra × 7 31 elementary-set-theory × 9 18 proof-verification × 2 28 analysis × 9 17 metric-spaces × 7

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