Can someone please explain the Riemann Hypothesis to me... in English?
I've read so much about it but none of it makes a lot of sense. Also, what's so unsolvable about it?
Apr 10, 2026 1 VIEWS
Topic: General
5104 Articles 
Nomenclature for composite knots with hierarchies
I'm not a mathematician but highly interested in knots form a biological perspective, so I hope everyone is fine with me using a less mathematical fo...
Apr 10, 2026 2 VIEWS
Sine of a Complex Number
While I know that $\sin(x)=2$ has no real solution, I tried seeing if it has a complex solution. That equality is equal to $$e^{2ix}-4ie^{ix}-1=0$$ Taking...
Apr 10, 2026 1 VIEWS
Are there infinitely many Mersenne primes?
known facts : $1.$ There are infinitely many Mersenne numbers : $M_p=2^p-1$ $2.$ Every Mersenne number greater than $7$ is of the form : $6k\cdot p +1$ , ...
Apr 10, 2026 1 VIEWS
For acute $\theta$, write $\cot\theta$ in terms of $\sin\theta$
For acute $\theta$, write $\cot\theta$ in terms of $\sin\theta$. I know that's $\cot\theta = \frac{\cos\theta}{\sin\theta}$ but why is the answer $\c...
Apr 10, 2026 1 VIEWS
Width of trapezoid at any height?
Assuming I have a trapezoid where I know the height, bases, and legs, I would like to obtain the width of this trapezoid at any height y. What I want is v...
Apr 10, 2026 1 VIEWS
Hardy $H^2$ space - equivalence of definitions
Can you please explain the equivalence of the following definitions of the Hardy $H^2$ space? The Hardy $H^2$ space is the class of holomorphic functions ...
Apr 10, 2026 2 VIEWS
Hilbert-Samuel multiplicity of a local ring of positive dimension is positive?
Let $(R, \mathfrak m)$ be a Noetherian local ring of dimension $d>0$. Then $e(R)=(d-1)!\lim_{n\to \infty} \mu (\mathfrak m^n)/n^{d-1}$. (Here $e(R)$ de...
Apr 10, 2026 1 VIEWS
If $r \ne 0$ is rational and $i$ is irrational, then $ri$ is irrational [duplicate]
Prove the following: The product of a nonzero rational number and an irrational number is also irrational. I assumed the following: Let $r = c/d$ be ratio...
Apr 10, 2026 1 VIEWS
Finding shaded triangle areas in a parallelogram
There is the following parallelogram involving two shaded triangles. If I found rightly, angles of $AMD$, $BMN$ and $CDM$ are $45$. But I can’t go further.
Apr 10, 2026 2 VIEWS
A series related to prime numbers
Let $H(t) = \sum_{n=1} ^{\infty} \pi(n)t^n$ where $\pi(n)$ is the prime counting function. This is the Hilbert series of some $\mathbb{Q}$-vector space. B...
Apr 10, 2026 1 VIEWS
Intuitive meaning of Neumann boundary condition
I was revising some notes and found myself not understanding the Neumann boundary condition. I understand it analytically - it's $\frac{∂u}{∂x}|_{x=0...
Apr 10, 2026 1 VIEWS