MathOverflow Questions, Problems & Solutions : TransWikia.com ~ Page 39

Commutator estimates regarding pseudo-differential operators

Forgive me if what I'm asking is too naive for Mathoverflow. Given a compact Riemannian manifold $(M,g)$ with Hodge Laplacian $Delta$. Recall that the Riesz potential $(-Delta)^{-frac{1}{2}}$...

Asked on 12/15/2020 by Shaoyang Zhou

0 answer

English translation of Borel-Serre Le theoreme de Riemann-Roch?:

Would be happy to receive a translation in english of Borel-Serre's Le theoreme de Riemann-Roch 1958. Thanks,...

Asked on 12/15/2020

1 answer

Upper bound for an exponential sum involving characters of a finite field

Let $q = p^n $ be a prime power, $alphainmathbb{F}_{q} $a primitive element of the finite field $mathbb{F}_q$ and denote by $chi $ a non-trivial...

Asked on 12/14/2020 by nahila

1 answer

Euler function summation

Haw can I estimate$$min_{qlesqrt{x}}frac{x}{q}sum_{substack{1le a<q,\(a,q)=1}}sum_{substack{1le b<a,\ (b,a)=1}} frac{varphi(a+bq)}{a(a+bq)},$$where $varphi(n)$ is Euler Totient function, as $x$ goes to infinity?...

Asked on 12/13/2020 by Andrej Leško

0 answer

Measure theory and Probability Theory on generalizations of topological spaces

I think this MSE thread is more suitable for the MO community, so I copy it here. Given a set $X$ and a topology $tau$ on $X$ the definition...

Asked on 12/10/2020 by yada

2 answer

A problem about an unramified prime in a Galois extension

I asked this question in MathStackExchange, but I didn't receive any answer. Let $K/mathbb{Q}$ be a Galois extension of degree $n$, and denote its ring of integers...

Asked on 12/09/2020 by NeoTheComputer

1 answer

Reference request: discretisation of probability measures on $mathbb R^d$

Given a probability measures $mu$ on $mathbb R^d$ with finite first movement, i.e. $$int_{mathbb R^d}|x|mu(dx)~~<~~+infty.$$ My concern is to approximate $mu$ some $mu_n$ that is countably or finitely supported. Of...

Asked on 12/09/2020 by MB2009

1 answer

Smoothness of a variety implies homological smoothness of DbCoh

I have been told that $D^bCoh(X)$ is homologically smooth if $X$ is a smooth variety, and I am trying to construct a proof. My background is not in...

Asked on 12/08/2020 by DbCohSmoothness

0 answer

Reference for matrices with all eigenvalues 1 or -1

In a homological algebra problem I am in the situation that I have an invertible (over $mathbb{Z}$) integer matrix $X$ and a permutation matrix $Y$ such that...

Asked on 12/07/2020

1 answer

Characterizations of groups whose general linear representations are all trivial

Let $G$ be a group. Suppose for any general linear representation $rho:Gtomathrm{GL}(n)$,$rho$ must be trivial. Question: Are there any characterizations or equivalent conditions for $G$?...

Asked on 12/07/2020 by QSH

1 answer

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