Question

Alternative proof for $\zeta\left(2,\frac14\right)=\psi^{(1)}\left(\frac14\right)=\pi^2+8G$

score 308 · Answer 1 · 2026-03-23 02:59:04

308

Views

Alternative proof for $\zeta\left(2,\frac14\right)=\psi^{(1)}\left(\frac14\right)=\pi^2+8G$

Published on 23 Mar 2026 - 2:59

score 195 · Answer 2 · 2026-03-25 17:24:29

195

Views

Combinatorial Proof that $p(n)/(1+\epsilon)^n \to 0$

Published on 25 Mar 2026 - 17:24

score 81 · Answer 3 · 2019-01-06 12:13:56

81

Views

Every complex polynomial is a product of first degree polynomials, alternative proofs?

Published on 06 Jan 2019 - 12:13

score 98 · Answer 4 · 2019-01-07 05:52:44

98

Views

For $a=\frac 14$, $f$ is continuous and differentiable.

Published on 07 Jan 2019 - 5:52

score 70 · Answer 5 · 2019-01-07 19:41:12

70

Views

Are these upper and lower bounds for $\frac{x!}{\left\lfloor{x}\right\rfloor!}$ useful? If so, are they already known?

Published on 07 Jan 2019 - 19:41

score 285 · Answer 6 · 2019-01-09 10:14:41

285

Views

Have I correctly proved that $\lim_{||(x,y)||\to\infty}\frac1{y-x}\int_x^y\exp(-1/|t|)dt$ equals $1$?

Published on 09 Jan 2019 - 10:14

score 39 · Answer 7 · 2026-03-25 23:42:33

Find the number of elements in set $A=\{1,2,\ldots, N\}$ such that the element has multiples in each row of a $N \times N$ square matrix.

score 68 · Answer 8 · 2019-01-11 11:00:37

68

Views

Regarding $x < y \Rightarrow x^n < y^n$ proof rigor.

Published on 11 Jan 2019 - 11:00

score 2.2k · Answer 9 · 2026-03-26 06:28:19

2.2k

Views

Integral $\int_0^\frac{\pi}{2} x^2\sqrt{\tan x}\,\mathrm dx$

Published on 26 Mar 2026 - 6:28

score 101 · Answer 10 · 2026-03-25 11:02:43

101

Views

The smallest subfield of a complete ordered field is dense in itself

Published on 25 Mar 2026 - 11:02

score 2.6k · Answer 11 · 2019-01-14 16:33:20

2.6k

Views

Suppose $a, b\in G$ such that $\lvert a\rvert$ is odd and $aba^{-1}=b^{-1}$. Show that $b^2=e$.

Published on 14 Jan 2019 - 16:33

score 134 · Answer 12 · 2019-01-15 23:19:48

134

Views

Show that the Image of $0$ under a Linear Mapping is also $0$

Published on 15 Jan 2019 - 23:19

score 404 · Answer 13 · 2019-01-16 17:20:19

404

Views

Does there exist a real number a given distance from each rational number?

Published on 16 Jan 2019 - 17:20

score 3.7k · Answer 14 · 2026-03-26 14:35:10

3.7k

Views

Prove that if $ab$ is a perfect square and $GCD(a,b)=1$, then $a$ and $b$ are perfect squares

Published on 26 Mar 2026 - 14:35

score 5.8k · Answer 15 · 2019-01-18 18:27:21

5.8k

Views

Proving whether the set of third degree polynomial is not a vector space?

Published on 18 Jan 2019 - 18:27

List Question

Alternative proof for $\zeta\left(2,\frac14\right)=\psi^{(1)}\left(\frac14\right)=\pi^2+8G$

Combinatorial Proof that $p(n)/(1+\epsilon)^n \to 0$

Every complex polynomial is a product of first degree polynomials, alternative proofs?

For $a=\frac 14$, $f$ is continuous and differentiable.

Are these upper and lower bounds for $\frac{x!}{\left\lfloor{x}\right\rfloor!}$ useful? If so, are they already known?

Have I correctly proved that $\lim_{||(x,y)||\to\infty}\frac1{y-x}\int_x^y\exp(-1/|t|)dt$ equals $1$?

Find the number of elements in set $A=\{1,2,\ldots, N\}$ such that the element has multiples in each row of a $N \times N$ square matrix.

Regarding $x < y \Rightarrow x^n < y^n$ proof rigor.

Integral $\int_0^\frac{\pi}{2} x^2\sqrt{\tan x}\,\mathrm dx$

The smallest subfield of a complete ordered field is dense in itself

Suppose $a, b\in G$ such that $\lvert a\rvert$ is odd and $aba^{-1}=b^{-1}$. Show that $b^2=e$.

Show that the Image of $0$ under a Linear Mapping is also $0$

Does there exist a real number a given distance from each rational number?

Prove that if $ab$ is a perfect square and $GCD(a,b)=1$, then $a$ and $b$ are perfect squares

Proving whether the set of third degree polynomial is not a vector space?

Trending Questions

Popular # Hahtags

Popular Questions