User zeraoulia rafik

49 votes

4 answers

8k views

What are the main contributions to the mathematics of general relativity by Sir Roger Penrose, winner of the 2020 Nobel prize?

asked Oct 6, 2020 at 20:28

43 votes

3 answers

7k views

Could the Riemann zeta function be a solution for a known differential equation?

asked Jan 21, 2017 at 22:38

26 votes

0 answers

2k views

What do you like in the mathematics of Vaughan Jones? And how Vaughan Jones liked mathematics to be? [closed]

asked Sep 9, 2020 at 16:41

16 votes

3 answers

3k views

How do i solve this : $\displaystyle \ f'=e^{{f}^{-1}}$?

asked Jan 1, 2017 at 20:39

8 votes

1 answer

556 views

How do i show that $\displaystyle\frac{\prod_{k=1}^np_k}{\sum_{k=1}^{n}p_k}$ is an integer for finitely many $n$?

asked Jan 24, 2017 at 0:29

6 votes

1 answer

1k views

Is there any relationship between Szemerédi's theorem and Sunflower conjecture?

asked Jul 22, 2020 at 0:00

6 votes

2 answers

868 views

What are applications of Jones polynomial on von Neumann algebras?

asked Sep 10, 2020 at 14:45

5 votes

3 answers

793 views

Is the number of solutions of $\phi(x)=n!$ bounded? If yes, what is its bound?

asked Jul 7, 2020 at 9:36

4 votes

4 answers

508 views

Does there exist a rational polynomial $P(x)\in{\mathbb Q}[x]{}$ such that $P(\zeta(s))=\zeta(P(s))$?

asked Mar 25, 2020 at 22:52

4 votes

1 answer

617 views

When is :$\displaystyle n!=x^n-y^n$ , with , $x,y,n$ are positive integers?

asked Feb 8, 2017 at 23:13

4 votes

1 answer

3k views

Is it possible to know if $\log(\pi)$ is irrational or not since the $\log$ function is the inverse of the $\exp$ function?

asked Oct 25, 2016 at 21:16

3 votes

0 answers

266 views

Convergence of $a_n=(1-\frac12)^{(\frac12-\frac13)^{...^{(\frac{1}{n}-\frac{1}{n+1})}}}$ [closed]

asked Jun 24, 2018 at 20:12

3 votes

1 answer

423 views

What is Bouziani space and what are its applications in mathematics?

asked Sep 24, 2020 at 16:31

3 votes

0 answers

375 views

For which values of $ x$ we have $\sum\limits_{n=0}^{\infty}x^{\tan(n!)-n!}$ converges?

asked Jun 2, 2020 at 5:19

2 votes

0 answers

96 views

if such counter example exists for Lehmer's totient problem could we prove that there are infinity of them or just finitely?

asked Aug 1, 2020 at 23:50

2 votes

1 answer

1k views

Examples of reputable journals in mathematics without impact factor? And is it good to publish in them?

asked Apr 30, 2021 at 13:28

2 votes

1 answer

390 views

Is $|\zeta(e^{ni})|\leq \log(n)$ true for $n > 19$ and how do i can show it if it is?

asked Oct 20, 2016 at 21:52

2 votes

1 answer

543 views

Kropholler's Conjecture and 3-manifolds

asked May 30, 2014 at 18:11

2 votes

0 answers

239 views

Any counter example for this: ${\phi(2^n-1)} \bmod \tau(2^n-1)=0$ for every integer $n \geq 1$? [closed]

asked Nov 9, 2016 at 22:04

1 vote

1 answer

292 views

Closed form of :$\int_{-1}^1 x^{2k} (\operatorname{erf}(x))^k \,dx $ for $ k$ is even integer and :$\int _{0}^{t}\exp(-x^2 \operatorname{erf}(x))dx$

asked May 31, 2018 at 23:30

1 vote

3 answers

648 views

When does $f^{-1}=\frac{1}{f}$ with $f$ a function mapping $\mathbb{R}^{*}$ to $\mathbb{R}$?

asked Jan 25, 2017 at 23:51

1 vote

1 answer

655 views

Could the complex zeros of Riemann zeta function be of the form $ s=0.5+ik$ with $k$ a positive integer? [closed]

asked Jan 27, 2017 at 17:17

1 vote

1 answer

179 views

What are the hypotheses we should add for the generalizations of Furstenberg recurrence theorem?

asked Jul 29, 2020 at 0:09

1 vote

0 answers

172 views

Is $T(n)=\sum_{k=1}^{n}\frac{\lambda(k)\Lambda(k)}{k} \geq 0$ and what is the upper bound of $T(x)=\sum_{n\leq x} \lambda(n)\Lambda(n) $?

asked Aug 6, 2020 at 14:42

1 vote

2 answers

219 views

What is the approximation of $\log(|\zeta'(\frac{1}{2}+it)|)$ in Dirichlet polynomial if it is exists?

asked Aug 29, 2020 at 0:09

1 vote

0 answers

3k views

Contribution of Yitang Zhang latest results if correct to correlation conjecture of H. L. Montgomery?

asked Nov 10, 2022 at 7:10

1 vote

0 answers

1k views

Discrete dynamical system described by Dirichlet L-function using Yitang latest results on Landau–Siegel zero

asked Apr 5, 2023 at 5:15

0 votes

2 answers

999 views

Is it ethical to submit a paper to journal then to Research Square? And what is the difference between that research square and ArXiv? [closed]

asked Sep 4, 2022 at 15:23

0 votes

0 answers

64 views

if $\max_{z \in K} |\zeta(z+it)-f(z)|<\epsilon.$ then is this $\lim_{t\to \infty} \inf \frac {|\zeta'(z+it)|}{|f'(z)|} $ a finit limit?

asked Mar 27, 2020 at 17:12

0 votes

1 answer

237 views

What can this $\int_{0}^{t} (\pi(x)-Li(x)) dx$ tell us about primes distribution?

asked Mar 27, 2020 at 23:21

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48 Questions

What are the main contributions to the mathematics of general relativity by Sir Roger Penrose, winner of the 2020 Nobel prize?

Could the Riemann zeta function be a solution for a known differential equation?

What do you like in the mathematics of Vaughan Jones? And how Vaughan Jones liked mathematics to be? [closed]

How do i solve this : $\displaystyle \ f'=e^{{f}^{-1}}$?

How do i show that $\displaystyle\frac{\prod_{k=1}^np_k}{\sum_{k=1}^{n}p_k}$ is an integer for finitely many $n$?

Is there any relationship between Szemerédi's theorem and Sunflower conjecture?

What are applications of Jones polynomial on von Neumann algebras?

Is the number of solutions of $\phi(x)=n!$ bounded? If yes, what is its bound?

Does there exist a rational polynomial $P(x)\in{\mathbb Q}[x]{}$ such that $P(\zeta(s))=\zeta(P(s))$?

When is :$\displaystyle n!=x^n-y^n$ , with , $x,y,n$ are positive integers?

Is it possible to know if $\log(\pi)$ is irrational or not since the $\log$ function is the inverse of the $\exp$ function?

Convergence of $a_n=(1-\frac12)^{(\frac12-\frac13)^{...^{(\frac{1}{n}-\frac{1}{n+1})}}}$ [closed]

What is Bouziani space and what are its applications in mathematics?

For which values of $ x$ we have $\sum\limits_{n=0}^{\infty}x^{\tan(n!)-n!}$ converges?

if such counter example exists for Lehmer's totient problem could we prove that there are infinity of them or just finitely?

Examples of reputable journals in mathematics without impact factor? And is it good to publish in them?

Is $|\zeta(e^{ni})|\leq \log(n)$ true for $n > 19$ and how do i can show it if it is?

Kropholler's Conjecture and 3-manifolds

Any counter example for this: ${\phi(2^n-1)} \bmod \tau(2^n-1)=0$ for every integer $n \geq 1$? [closed]

Closed form of :$\int_{-1}^1 x^{2k} (\operatorname{erf}(x))^k \,dx $ for $ k$ is even integer and :$\int _{0}^{t}\exp(-x^2 \operatorname{erf}(x))dx$

When does $f^{-1}=\frac{1}{f}$ with $f$ a function mapping $\mathbb{R}^{*}$ to $\mathbb{R}$?

Could the complex zeros of Riemann zeta function be of the form $ s=0.5+ik$ with $k$ a positive integer? [closed]

What are the hypotheses we should add for the generalizations of Furstenberg recurrence theorem?

Is $T(n)=\sum_{k=1}^{n}\frac{\lambda(k)\Lambda(k)}{k} \geq 0$ and what is the upper bound of $T(x)=\sum_{n\leq x} \lambda(n)\Lambda(n) $?

What is the approximation of $\log(|\zeta'(\frac{1}{2}+it)|)$ in Dirichlet polynomial if it is exists?

Contribution of Yitang Zhang latest results if correct to correlation conjecture of H. L. Montgomery?

Discrete dynamical system described by Dirichlet L-function using Yitang latest results on Landau–Siegel zero

Is it ethical to submit a paper to journal then to Research Square? And what is the difference between that research square and ArXiv? [closed]

if $\max_{z \in K} |\zeta(z+it)-f(z)|<\epsilon.$ then is this $\lim_{t\to \infty} \inf \frac {|\zeta'(z+it)|}{|f'(z)|} $ a finit limit?

What can this $\int_{0}^{t} (\pi(x)-Li(x)) dx$ tell us about primes distribution?