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reuns
  • Member for 6 years, 8 months
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27 votes

Are there any series whose convergence is unknown?

26 votes
Accepted

What is this series relating to the residues of the Gamma function?

24 votes

Riemann hypothesis: is Bender-Brody-Müller Hamiltonian a new line of attack?

21 votes
Accepted

How was the integral for Zeta Function created

20 votes
Accepted

how to prove that $1^x+2^x+3^x+4^x+\cdots+N^x$ will never sum to a prime number except $1^x+2^x$?

17 votes

On proving that $\sum\limits_{n=1}^\infty \frac{n^{13}}{e^{2\pi n}-1}=\frac 1{24}$

17 votes

Why isn't the directional derivative generally scaled down to the unit vector?

15 votes

The definition of "entire function"

15 votes

Conjecture ${\large\int}_0^\infty\left[\frac1{x^4}-\frac1{2x^3}+\frac1{12\,x^2}-\frac1{\left(e^x-1\right)x^3}\right]dx=\frac{\zeta(3)}{8\pi^2}$

14 votes
Accepted

Is every Hilbert space separable?

13 votes
Accepted

Explicit value for series

12 votes
Accepted

Does the Mertens function have an infinite number of zeros?

11 votes

$F(u) = F(u^2)$ if $u$ is algebraic of odd degree

11 votes

Is an ideal finitely generated if its radical is finitely generated?

11 votes

Why is proving the Riemann Hypothesis so hard?

10 votes
Accepted

Does a definite integral equal to the Möbius function exist?

10 votes
Accepted

Torus and Elliptic curves

10 votes

Proving that $F(x)=\sum\limits_{k=1}^{p-1}\left(\frac{k}{p}\right)x^k$ has at least $\frac{p-1}{2}$ different complex roots

10 votes

A probably wrong proof of the Riemann Hypothesis, but where is the mistake?

9 votes
Accepted

Infinite series involving Von Mangoldt's function

9 votes

Does this sum of prime numbers converge?

9 votes
Accepted

Alternating series test for complex series

8 votes

Relationship between GCD, LCM and the Riemann Zeta function

8 votes

On the general form of the family $\sum_{n=1}^\infty \frac{n^{k}}{e^{2n\pi}-1} $

8 votes

Is $\int\limits_0^\infty\frac{\sin y}{y^{s+1}}dy=-\Gamma(-s)\sin(\frac{\pi s}{2})$ for $\operatorname{Re}(s)\in (-1,0)$ obvious?

8 votes

Unsolved problems in Fourier analysis

8 votes
Accepted

Euler Product formula for Riemann zeta function proof

8 votes

Which derivatives are eventually periodic?

8 votes

Zeta of 3, why cant we get the value the zeta of odd n?

8 votes

$\lim_{n \to \infty}\frac{1}{n}\sum_{k = 1}^nf(k)$ where $f(n)$ is the largest prime factor exponent?

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