MathOverflow

This paper presents a complete, closed mathematical proof of the Riemann Hypothesis, with full rigorous derivation, analytic number theory reasoning, self-consistent logical deduction and standardized mathematical argument.
All core mathematical framework, proof process, formula deduction and final academic conclusion of this thesis will be fully released in this post. This is a complete academic research paper on the proof of the Riemann Hypothesis, rather than a preliminary...

Let $\mathcal{V}$ be a presentably monoidal $\infty$-category. If $\mathcal V$ is moreover symmetric, the $(\infty,2)$-category ${}_{\mathcal V} \mathsf{Cat}$ of $\mathcal V$-enriched categories inherits a monoidal structure and $\mathcal{V}$ is naturally...

I'm in trouble trying to generate samples following a particular distribution which is not numerically known perfectly. Let us consider a $R^n$ space provided with an orthonormal base $( e_{1},...,e_{n} )$ and N points $(X^{(1)},...,X^{(N)})$ in this...

$\DeclareMathOperator{\Res}{Res}$
We'll work over fields of characteristic 0, like $\mathbb{C}$.
Let $P$ be a polynomial of degree $n$ defined as:$$P(x) = \sum_{k=0}^n p_k\ x^k, \quad p_n=1$$a rational Tschirnhaus transformation $T$ as:$$T_z(y) = \frac{A_z(y)}{B_z(y)}, \quad t_z:= \max(\deg A_z,\ \deg B_z)$$their polynomial resultant $Q$ as:$$Q...