Question

Justify an approximation of $\sum_{n=1}^\infty G_n/\binom{\frac{n}{2}+\frac{1}{2}}{\frac{n}{2}}$, where $G_n$ denotes the Gregory coefficients

score 210 · Answer 1 · 2026-05-06 07:08:13

210

Views

Justify an approximation of $\sum_{n=1}^\infty G_n/\binom{\frac{n}{2}+\frac{1}{2}}{\frac{n}{2}}$, where $G_n$ denotes the Gregory coefficients

Published on 06 May 2026 - 7:08

score 140 · Answer 2 · 2026-05-13 06:22:18

140

Views

Is there a trigonometric identity that implies the Riemann Hypothesis?

Published on 13 May 2026 - 6:22

score 170 · Answer 3 · 2026-05-07 07:40:55

170

Views

question regarding nth prime related to Bertrands postulate.

Published on 07 May 2026 - 7:40

score 515 · Answer 4 · 2026-05-07 11:33:55

515

Views

Alternating sequence of ascending power of 2

Published on 07 May 2026 - 11:33

score 538 · Answer 5 · 2026-05-12 20:07:04

538

Views

Reference for proof of Landau's prime ideal theorem (English)

Published on 12 May 2026 - 20:07

score 64 · Answer 6 · 2026-05-07 07:41:32

64

Views

Does converge $\sum_{n=2}^\infty\frac{1}{\varphi(p_n-2)-1+p_n}$, where $\varphi(n)$ is the Euler's totient function and $p_n$ the $n$th prime number?

Published on 07 May 2026 - 7:41

score 118 · Answer 7 · 2026-04-29 12:16:15

118

Views

On the behaviour of $\frac{1}{N}\sum_{k=1}^N\frac{\pi(\varphi(k)+N)}{\varphi(\pi(k)+N)}$ as $N\to\infty$

Published on 29 Apr 2026 - 12:16

score 154 · Answer 8 · 2026-05-07 10:09:47

154

Views

Analytic function to find k-almost primes from prime factorization

Published on 07 May 2026 - 10:09

score 119 · Answer 9 · 2026-05-07 00:18:40

119

Views

Easy way to prove that the number of primes up to $n$ is $\Omega(n^{\epsilon})$

Published on 07 May 2026 - 0:18

score 789 · Answer 10 · 2026-05-05 13:09:09

789

Views

Eisenstein Series, discriminant and cusp forms

Published on 05 May 2026 - 13:09

score 345 · Answer 11 · 2026-05-07 10:09:17

345

Views

Convergence of $\sum_{n=1}^{\infty}\frac{\mu(n)\chi(n)}{n^s}$ on $\Re{s}=1$

Published on 07 May 2026 - 10:09

score 152 · Answer 12 · 2026-05-07 11:34:09

152

Views

The behaviour of $\sum_{\mathcal{R}\leq x}\left\{\frac{x}{\mathcal{R}}\right\}$, where $\mathcal{R}$ denote Ramanujan primes

Published on 07 May 2026 - 11:34

score 174 · Answer 13 · 2026-05-11 10:16:24

174

Views

A good estimation of the inverse $f^{-1}(x)$ of $-\sum_{n=2}^\infty\frac{\mu(n)}{n}x^n$, over the unit inverval if it has mathematical meaning

Published on 11 May 2026 - 10:16

score 429 · Answer 14 · 2026-05-10 13:49:29

429

Views

Counterexamples showing natural density is not a measure

Published on 10 May 2026 - 13:49

score 111 · Answer 15 · 2026-04-29 12:16:37

111

Views

How to prove that $\sum _{p}\sum_{k = 2}^\infty \frac{1}{kp^k}$ is convergent?

Published on 29 Apr 2026 - 12:16

List Question

Justify an approximation of $\sum_{n=1}^\infty G_n/\binom{\frac{n}{2}+\frac{1}{2}}{\frac{n}{2}}$, where $G_n$ denotes the Gregory coefficients

Is there a trigonometric identity that implies the Riemann Hypothesis?

question regarding nth prime related to Bertrands postulate.

Alternating sequence of ascending power of 2

Reference for proof of Landau's prime ideal theorem (English)

Does converge $\sum_{n=2}^\infty\frac{1}{\varphi(p_n-2)-1+p_n}$, where $\varphi(n)$ is the Euler's totient function and $p_n$ the $n$th prime number?

On the behaviour of $\frac{1}{N}\sum_{k=1}^N\frac{\pi(\varphi(k)+N)}{\varphi(\pi(k)+N)}$ as $N\to\infty$

Analytic function to find k-almost primes from prime factorization

Easy way to prove that the number of primes up to $n$ is $\Omega(n^{\epsilon})$

Eisenstein Series, discriminant and cusp forms

Convergence of $\sum_{n=1}^{\infty}\frac{\mu(n)\chi(n)}{n^s}$ on $\Re{s}=1$

The behaviour of $\sum_{\mathcal{R}\leq x}\left\{\frac{x}{\mathcal{R}}\right\}$, where $\mathcal{R}$ denote Ramanujan primes

A good estimation of the inverse $f^{-1}(x)$ of $-\sum_{n=2}^\infty\frac{\mu(n)}{n}x^n$, over the unit inverval if it has mathematical meaning

Counterexamples showing natural density is not a measure

How to prove that $\sum _{p}\sum_{k = 2}^\infty \frac{1}{kp^k}$ is convergent?

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