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Q&A for professional mathematicians
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I hope everyone is doing well. Let $K \subset \mathbb{R}^n$ be a centrally symmetric convex body $(K = -K)$. Denote by $K \mid H$ the orthogonal projection of $K$ onto $H$, where $H$ is an $n - 1$
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Hottest Questions Today - MathOverflow
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0 days
The argument in the Chowla-Selberg formula
For a negative fundamental discriminant $D$, the Chowla--Selberg gamma quotientis defined by $CS(D)=(\prod_{1\le j\le|D|}\Gamma(j/|D|)^{(D/j)})^{1/h'(D)}$, where$(D/j)$ is the kronecker symbol, and $h'(D)=h(D)/(w(D)/2)$ is the class number of $Q(\sqrt...
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0 days
Does this lie in the image of the Cartan map?
Let $G$ be a group. Let $p$ be a prime with $p\mid |G|$. Let $k$ be a field of characteristic $p$.
Some generalities:
Let $\mathcal{C}$ be an abelian category. Let $[X]$ denote the isomorphism class of each object $X\in\mathcal{C}$. -
0 days
Integer points on elliptic curves of special form
Is there any triple $a_1,a_2,a_3$ of distinct positive integers such that $(a_1x+1)(a_2x+1)(a_3x+1)$ is a perfect square for at least six positive integers $x$?
An example by Petričević (2023) shows that $(x+1)(55x+1)(276x+1)$ is a perfect square for at least following five positive integers: $x = 4, 8, 17, 89, 4870844$. Magma confirms that there are no other solutions in positive integers.Other known examples... -
3 years
Tangent cones at zero and infinity to minimal surfaces
Let $n \geq 2$, and let $M^n \subset \mathbf{R}^{n+1}$ be a minimal surface with $0 \in M$ and finite ($n$-dimensional) area growth:$\operatorname{limsup}_{R \to \infty} R^{-n} \lVert M \cap B_R \rVert < \infty$. Let $\mathbf{C}_0$ be a tangent cone...
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