User juan

94 votes

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A hard integral identity on MathSE

answered Feb 18, 2014 at 7:09

33 votes

If $f$ is infinitely differentiable then $f$ coincides with a polynomial

answered Mar 27, 2012 at 17:24

29 votes

Examples of conjectures that were widely believed to be true but later proved false

answered Jul 2, 2012 at 11:31

19 votes

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$\zeta(0)$ and the cotangent function

answered Dec 6, 2014 at 11:23

18 votes

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Asymptotics of the n-th prime using the gamma function

answered Jun 1, 2012 at 15:09

16 votes

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Is the following function decreasing on $(0,1)$?

answered Jul 22, 2012 at 17:24

16 votes

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Certain functional equations for the Riemann Zeta function?

answered May 28, 2012 at 7:45

16 votes

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An integral involving the argument of the Gamma function and the Riemann Hypothesis

answered Dec 18, 2018 at 17:37

16 votes

Is there real or complex analytic function whose positive real zeros are the primes?

answered Oct 18, 2022 at 21:29

14 votes

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A conjecture about certain values of the Fabius function

answered Feb 22, 2017 at 8:58

14 votes

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How to prove this identity on double summation series?

answered Mar 8, 2015 at 10:28

13 votes

For $x$ irrational, is $a_{n} =\sum_{k=1}^{n}(-1)^{⌊kx⌋}$ unbounded?

answered Apr 26, 2020 at 9:01

12 votes

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Is this differential equation for zeta on the critical line? One can compute it from its derivative and simpler functions

answered Jun 13, 2015 at 19:38

12 votes

List of long open, elementary problems which are computational in nature

answered Apr 25, 2020 at 9:21

11 votes

Explicit formula for Riemann zeros counting function

answered Aug 12, 2012 at 17:39

10 votes

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Is it possible to reconstruct $\zeta$-function knowing its zeroes?

answered Jul 16, 2012 at 10:29

10 votes

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A measure theory question

answered Mar 29, 2012 at 11:30

10 votes

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Interesting triple integral

answered May 5, 2015 at 17:23

10 votes

Rankings of mathematical conferences and journals

answered May 7, 2015 at 18:52

9 votes

Is this sum of reciprocals of zeta zeros correct?

answered Mar 15, 2012 at 20:52

9 votes

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Do we know an upper bound for the multiplicity of the non-trivial zeros of Zeta?

answered Oct 6, 2013 at 12:21

9 votes

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zeta(3) in terms of derivatives of zeta at 1/2 and pi

answered Jun 3, 2013 at 17:35

8 votes

Asymptotic bounds on $\pi^{-1}(x)$ (inverse prime counting function)

answered Aug 2, 2013 at 14:49

8 votes

Zeros of the derivative of Riemann's $\xi$-function

answered Dec 16, 2014 at 18:02

8 votes

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Computing digits of irrational exponentiation

answered Nov 5, 2015 at 20:26

8 votes

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Fourier transform of the critical line of zeta?

answered Dec 6, 2015 at 21:16

8 votes

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Is there a transformation or a proof for these integrals?

answered Mar 1, 2017 at 20:13

8 votes

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Numerical Calculations

answered Dec 23, 2016 at 13:56

8 votes

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A recurrence relation for $\zeta(2n)$ - reference request

answered Jul 26, 2018 at 16:46

7 votes

$\pi((n+1)^2)-\pi(n^2) \le \pi(n)$ for all $n \ge 370$?

answered Jul 6, 2018 at 8:57

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89 Answers

A hard integral identity on MathSE

If $f$ is infinitely differentiable then $f$ coincides with a polynomial

Examples of conjectures that were widely believed to be true but later proved false

$\zeta(0)$ and the cotangent function

Asymptotics of the n-th prime using the gamma function

Is the following function decreasing on $(0,1)$?

Certain functional equations for the Riemann Zeta function?

An integral involving the argument of the Gamma function and the Riemann Hypothesis

Is there real or complex analytic function whose positive real zeros are the primes?

A conjecture about certain values of the Fabius function

How to prove this identity on double summation series?

For $x$ irrational, is $a_{n} =\sum_{k=1}^{n}(-1)^{⌊kx⌋}$ unbounded?

Is this differential equation for zeta on the critical line? One can compute it from its derivative and simpler functions

List of long open, elementary problems which are computational in nature

Explicit formula for Riemann zeros counting function

Is it possible to reconstruct $\zeta$-function knowing its zeroes?

A measure theory question

Interesting triple integral

Rankings of mathematical conferences and journals

Is this sum of reciprocals of zeta zeros correct?

Do we know an upper bound for the multiplicity of the non-trivial zeros of Zeta?

zeta(3) in terms of derivatives of zeta at 1/2 and pi

Asymptotic bounds on $\pi^{-1}(x)$ (inverse prime counting function)

Zeros of the derivative of Riemann's $\xi$-function

Computing digits of irrational exponentiation

Fourier transform of the critical line of zeta?

Is there a transformation or a proof for these integrals?

Numerical Calculations

A recurrence relation for $\zeta(2n)$ - reference request

$\pi((n+1)^2)-\pi(n^2) \le \pi(n)$ for all $n \ge 370$?