User Sylvain JULIEN

32 votes

3 answers

12k views

About Goldbach's conjecture

asked Apr 15, 2011 at 17:43

28 votes

2 answers

4k views

Have Grothendieck's notes in Montpellier already been investigated?

asked Feb 11, 2016 at 15:44

19 votes

3 answers

6k views

Are the nontrivial zeros of the Riemann zeta simple?

asked Mar 27, 2011 at 22:16

12 votes

2 answers

1k views

Has there been further work on Bender-Brody-Müller approach to RH?

asked Dec 4, 2017 at 21:49

11 votes

0 answers

2k views

Would the following conjectures imply $\lim\inf_{n\to\infty}p_{n+k}-p_{n}=O(k\log k)$?

asked Jun 6, 2013 at 18:31

10 votes

1 answer

2k views

What keeps asymptotic Goldbach's conjecture out of reach of current technology?

asked Mar 31, 2014 at 11:46

10 votes

1 answer

1k views

Taniyama's original conjecture

asked Apr 16, 2011 at 21:14

10 votes

2 answers

922 views

Techniques to solve a non-linear differential equation related to curvature

asked May 29, 2016 at 9:32

10 votes

2 answers

2k views

random category theory

asked Apr 25, 2015 at 12:11

8 votes

2 answers

537 views

Famous results about the value of a given limit assuming it exists

asked Apr 6, 2016 at 19:23

8 votes

1 answer

1k views

Would Elliott-Halberstam conjecture follow from GRH?

asked Dec 29, 2013 at 17:33

8 votes

1 answer

777 views

Can perfect numbers be seen $p$-adically?

asked Aug 23, 2021 at 7:35

7 votes

1 answer

1k views

What would be the consequences of $\displaystyle{\lim\inf_{n\to\infty}p_{n+k}-p_{n}\sim k\log k}$?

asked Oct 25, 2014 at 11:26

6 votes

1 answer

726 views

is there any heuristics suggesting that the number of Fibonacci primes below $x$ is equivalent to $\log_{\phi}\log_{\phi}x$?

asked Aug 4, 2014 at 13:58

6 votes

1 answer

841 views

Is there a precise notion of "almost all" such that almost all finite groups are Galois groups of extensions of the rationals?

asked Apr 28, 2014 at 19:24

6 votes

1 answer

279 views

Can Voronin's universality theorem be used to show that $\sigma\circ\zeta=\zeta\circ\sigma$ implies $\sigma$ continuous?

asked Apr 6, 2014 at 12:17

6 votes

0 answers

726 views

Would the following conjectures imply Cramer's conjecture?

asked Jun 18, 2013 at 17:47

5 votes

0 answers

1k views

Differential Galois number theory

asked Jan 12, 2014 at 20:58

5 votes

1 answer

631 views

The current state of Selberg's orthonormality conjecture

asked Mar 27, 2011 at 14:19

5 votes

4 answers

2k views

Which conjectures only need the Grand Riemann Hypothesis to become genuine theorems?

asked Jul 27, 2011 at 20:21

5 votes

2 answers

873 views

About a possible generalization of Green-Tao's theorem

asked Dec 18, 2012 at 19:16

5 votes

1 answer

618 views

Has this strengthening of the PNT already been conjectured?

asked Apr 15, 2014 at 20:56

5 votes

1 answer

2k views

Does $ M(x)=O(\sqrt{x}) $ if and only if the De Bruijn-Newman constant is negative?

asked Jan 18, 2018 at 17:04

5 votes

1 answer

2k views

Does the existence of a Landau-Siegel zero imply the existence of a complex zero off the critical line?

asked Sep 19, 2021 at 20:10

5 votes

0 answers

287 views

Symmetry of the distribution of prime gaps

asked May 26, 2019 at 19:10

5 votes

1 answer

338 views

Is the Wikipedia depiction of the ergosphere of a Kerr black hole a Cassini oval?

asked Dec 17, 2019 at 11:17

5 votes

1 answer

691 views

Does $0<k<n$ imply $p_{n+k}<\left(1+\frac{1}{k}\right)^k p_{n}$ for large enough $n$?

asked Nov 6, 2020 at 18:58

4 votes

0 answers

143 views

Can this number be interpreted as a fractal dimension?

asked Jan 31, 2020 at 18:54

4 votes

1 answer

247 views

Is the imaginary part of $t\mapsto\zeta(1/2+it)$ close to the derivative of its real part?

asked Feb 11, 2020 at 12:34

4 votes

1 answer

414 views

Is there some numerical evidence that $ \pi(x+x^{1/e})-\pi(x)\geq 1 $ for any large enough $ x $?

asked Jul 6, 2018 at 15:31

Stack Exchange Network

217 Questions

About Goldbach's conjecture

Have Grothendieck's notes in Montpellier already been investigated?

Are the nontrivial zeros of the Riemann zeta simple?

Has there been further work on Bender-Brody-Müller approach to RH?

Would the following conjectures imply $\lim\inf_{n\to\infty}p_{n+k}-p_{n}=O(k\log k)$?

What keeps asymptotic Goldbach's conjecture out of reach of current technology?

Taniyama's original conjecture

Techniques to solve a non-linear differential equation related to curvature

random category theory

Famous results about the value of a given limit assuming it exists

Would Elliott-Halberstam conjecture follow from GRH?

Can perfect numbers be seen $p$-adically?

What would be the consequences of $\displaystyle{\lim\inf_{n\to\infty}p_{n+k}-p_{n}\sim k\log k}$?

is there any heuristics suggesting that the number of Fibonacci primes below $x$ is equivalent to $\log_{\phi}\log_{\phi}x$?

Is there a precise notion of "almost all" such that almost all finite groups are Galois groups of extensions of the rationals?

Can Voronin's universality theorem be used to show that $\sigma\circ\zeta=\zeta\circ\sigma$ implies $\sigma$ continuous?

Would the following conjectures imply Cramer's conjecture?

Differential Galois number theory

The current state of Selberg's orthonormality conjecture

Which conjectures only need the Grand Riemann Hypothesis to become genuine theorems?

About a possible generalization of Green-Tao's theorem

Has this strengthening of the PNT already been conjectured?

Does $ M(x)=O(\sqrt{x}) $ if and only if the De Bruijn-Newman constant is negative?

Does the existence of a Landau-Siegel zero imply the existence of a complex zero off the critical line?

Symmetry of the distribution of prime gaps

Is the Wikipedia depiction of the ergosphere of a Kerr black hole a Cassini oval?

Does $0<k<n$ imply $p_{n+k}<\left(1+\frac{1}{k}\right)^k p_{n}$ for large enough $n$?

Can this number be interpreted as a fractal dimension?

Is the imaginary part of $t\mapsto\zeta(1/2+it)$ close to the derivative of its real part?

Is there some numerical evidence that $ \pi(x+x^{1/e})-\pi(x)\geq 1 $ for any large enough $ x $?