Question

Verifying A Proof That $\pi=\log\left(-\sum\limits_{s=0}^{\infty}(1-s)\frac{\zeta(s)}{\xi(s)}\right)$

score 95 · Answer 1 · 2026-03-27 14:52:41

95

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Verifying A Proof That $\pi=\log\left(-\sum\limits_{s=0}^{\infty}(1-s)\frac{\zeta(s)}{\xi(s)}\right)$

Published on 27 Mar 2026 - 14:52

score 55 · Answer 2 · 2020-02-18 19:56:12

55

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Subsequential Limits and isolated points

Published on 18 Feb 2020 - 19:56

score 91 · Answer 3 · 2026-04-02 14:03:13

91

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Let $\lim_{n\to\infty}(a_n)=\infty$ and $(b_n)_{n\in\mathbb N}$ be bounded. Prove that $\lim_{n\to\infty}(a_n+b_n)=\infty$.

Published on 02 Apr 2026 - 14:03

score 296 · Answer 4 · 2026-02-23 07:00:21

296

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Application of Arzela-Ascoli Theorem, proving uniform boundedness and equicontinuity

Published on 23 Feb 2026 - 7:00

score 86 · Answer 5 · 2026-03-30 01:43:42

86

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Where does this recursion formula come from?

Published on 30 Mar 2026 - 1:43

score 41 · Answer 6 · 2026-03-29 18:29:42

41

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Proofing this math pattern

Published on 29 Mar 2026 - 18:29

score 280 · Answer 7 · 2026-03-31 07:03:52

280

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Proving some of theorems about upper/lower sets.

Published on 31 Mar 2026 - 7:03

score 1.2k · Answer 8 · 2020-02-19 09:47:06

1.2k

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Show that $\Bbb Q^+ $ under multiplication is isomorphic to a proper subgroup of itself

Published on 19 Feb 2020 - 9:47

score 37 · Answer 9 · 2020-02-19 10:46:50

37

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Analytically, how is $\int_0^{\infty} t^{-1}e^{-t} \geq \frac{1}{e} \int_0^1 \frac{dt}{t}$?

Published on 19 Feb 2020 - 10:46

score 398 · Answer 10 · 2020-02-19 11:55:09

398

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If $\alpha$ and $\beta$ are disjoint permutations, then $\alpha \beta = \beta \alpha$.

Published on 19 Feb 2020 - 11:55

score 846 · Answer 11 · 2020-02-19 12:44:06

846

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Show that no non-constant polynomial can generate only prime numbers

Published on 19 Feb 2020 - 12:44

score 50 · Answer 12 · 2026-03-29 00:06:26

50

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Cumulative distribution and probability density functions of the random variable

Published on 29 Mar 2026 - 0:06

score 560 · Answer 13 · 2026-03-25 23:53:08

560

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Prove that $f$ has a fixed point in the interval $(0,1)$.

Published on 25 Mar 2026 - 23:53

score 64 · Answer 14 · 2020-02-19 17:38:35

64

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Aluffi, Exercise III.3.11: Only ring homomorphism from $R$ to $\mathbb{R}$ if $\mathbb{C}$ is a subring is the trivial homomorphism.

Published on 19 Feb 2020 - 17:38

score 47 · Answer 15 · 2020-02-19 17:43:31

47

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Showing $\mathbb{k}[x, y] / \langle y-x^2 \rangle \simeq \mathbb{k}[\bar x] $

Published on 19 Feb 2020 - 17:43

List Question

Verifying A Proof That $\pi=\log\left(-\sum\limits_{s=0}^{\infty}(1-s)\frac{\zeta(s)}{\xi(s)}\right)$

Subsequential Limits and isolated points

Let $\lim_{n\to\infty}(a_n)=\infty$ and $(b_n)_{n\in\mathbb N}$ be bounded. Prove that $\lim_{n\to\infty}(a_n+b_n)=\infty$.

Application of Arzela-Ascoli Theorem, proving uniform boundedness and equicontinuity

Where does this recursion formula come from?

Proofing this math pattern

Proving some of theorems about upper/lower sets.

Show that $\Bbb Q^+ $ under multiplication is isomorphic to a proper subgroup of itself

Analytically, how is $\int_0^{\infty} t^{-1}e^{-t} \geq \frac{1}{e} \int_0^1 \frac{dt}{t}$?

If $\alpha$ and $\beta$ are disjoint permutations, then $\alpha \beta = \beta \alpha$.

Show that no non-constant polynomial can generate only prime numbers

Cumulative distribution and probability density functions of the random variable

Prove that $f$ has a fixed point in the interval $(0,1)$.

Aluffi, Exercise III.3.11: Only ring homomorphism from $R$ to $\mathbb{R}$ if $\mathbb{C}$ is a subring is the trivial homomorphism.

Showing $\mathbb{k}[x, y] / \langle y-x^2 \rangle \simeq \mathbb{k}[\bar x] $

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