MathOverflow

Let $U$ be an open of an smooth projective geometrically connected curve over $k$ a $p$-adic field, $\mathcal{F}$ a finite group scheme over $U$. In this paper, Harari writes that "combining Poincaré duality and Tate-Nakayama local duality", one can...

Due to work of Ingham, it is known that$$\int_1^T|\zeta^{(m)}(1/2+it)|^2\;dt\sim\frac{1}{2m+1}T(\log T)^{2m+1}.$$Is there a similar result for the fourth moment? That is, is there an explicit result of the form$$\int_1^T|\zeta^{(m)}(1/2+it)|^4\;dt\sim...

I am looking to the Bogomolov-Tian-Todorov theorem for Calabi-Yau manifolds. For any compact Kahler manifold $X$ with trivial canonical bundle ($K_X\simeq \mathcal{O}_X$) this theorem ensure that its Kuranishi space associated to its versal family of...

Let $\mathrm b\mathbb R$ denote the Bohr compactification of $\mathbb R$, let $\mu$ be its normalized Haar measure, and let $\iota:\mathbb R\to\mathrm b\mathbb R$ be the usual embedding of $\mathbb R$ as a dense subset of $\mathrm b\mathbb R$. If I have...