List questions from proof-verification

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divergence of $\sum_{n=3}^\infty \frac{\sqrt{n}+2}{n-2}$ verification/ alternative method

Published on 12 Apr 2026 - 0:32

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Bivariate Normal Proof

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Prove that $f(x) = \sum_{n=1}^{\infty} x^n/n^2$ is continuous on $[0,1]$

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Proof verification for Identity matrices

Published on 10 Apr 2026 - 15:12

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Proving that an Epsilon-Delta Proof is not true

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Prove that $\Vert\cdot \Vert: X\to \Bbb{R},$ defined by $x\mapsto \Vert x \Vert,$ is continuous

Published on 16 Apr 2026 - 8:44

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given $p,q,r \ge 3$ study the diophantine equation $x^py^q=z^r-1$ using the $abc$-conjecture

Published on 09 Apr 2026 - 10:59

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Solving the Diophantine equation $y^2 = 4x^3 + 1$ for $x,y \in \mathbb{Z}$

Published on 14 Apr 2026 - 16:03

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Solving the homogeneous Diophantine equation $x^3 + 2y^3 = 7z^3$ for $x,y,z \in \mathbb{Q}$

Published on 17 Apr 2026 - 18:29

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Prove $\sum_{n=1}^{\infty} x/(1+x)^n$ is uniformly convergent for $ x \in [1,2]$

Published on 16 Apr 2026 - 10:00

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$7$ Sylow subgroup of $A_{20}$ is not normal and $7$ Sylow subgroup of $S_{20}$ contained in $A_{20}$.

Published on 16 Apr 2026 - 13:55

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About proof: $\cot^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right)=\frac x2$

Published on 17 Apr 2026 - 0:16

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Limit of $a_n$ is -$2$ then consider $\sum a_n ^{-n}$

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How to normalize Dirichlet distribution?

Published on 08 Apr 2026 - 16:54

List Question

AKS - proving that $\frac{n}{p}$ is introspective

divergence of $\sum_{n=3}^\infty \frac{\sqrt{n}+2}{n-2}$ verification/ alternative method

Bivariate Normal Proof

Prove that $f(x) = \sum_{n=1}^{\infty} x^n/n^2$ is continuous on $[0,1]$

Proof verification for Identity matrices

Proving that an Epsilon-Delta Proof is not true

Prove that $\Vert\cdot \Vert: X\to \Bbb{R},$ defined by $x\mapsto \Vert x \Vert,$ is continuous

given $p,q,r \ge 3$ study the diophantine equation $x^py^q=z^r-1$ using the $abc$-conjecture

Solving the Diophantine equation $y^2 = 4x^3 + 1$ for $x,y \in \mathbb{Z}$

Solving the homogeneous Diophantine equation $x^3 + 2y^3 = 7z^3$ for $x,y,z \in \mathbb{Q}$

Prove $\sum_{n=1}^{\infty} x/(1+x)^n$ is uniformly convergent for $ x \in [1,2]$

$7$ Sylow subgroup of $A_{20}$ is not normal and $7$ Sylow subgroup of $S_{20}$ contained in $A_{20}$.

About proof: $\cot^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right)=\frac x2$

Limit of $a_n$ is -$2$ then consider $\sum a_n ^{-n}$

How to normalize Dirichlet distribution?

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