6 problems

Let … The preceding discussion suggests that this infinite product defines the integrand below. Cosine-product integral conjecture. … This is presented as a numerical conjecture mo…

Juškevičius's conjecture. The variables can be chosen so that

Gaussian upper-tail conjecture. For every unit vector $a$ and every $t>t_1$,

Let $U_1,\dots,U_n$ be independent random variables uniformly distributed on $[-1,1]$, let $a=(a_1,\dots,a_n)$ range over unit vectors in $\mathbb{R}^n$, and let $t>0$. V. Milman's…

Fewest-big-jumps conjecture. For reasonable choices of $(c_n)$, for example $c_n=\gamma n$ with $\gamma\in(0,1)$, one should have approximately

Zhubr's finite-dimensional conjecture. For all $n\in\mathbb{N}$ and $x\in\mathbb{R}$,