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Consider the contour integral$frac{1}{2pi i}oint_gammachi(z)frac{dz}{z},,$where $gamma$ is a (not necessarily simple) closed curve lying in $mathbb{C}setminus{0}$ and $chicolonmathbb{C}tomathbb{R}_{ge 0}$ is a continuous function. My question isAre...
Asked on 02/09/2021 by Jack L.
1 answerConsider the discrete distribution $mu = sum_{i = 0}^{n - 1} delta(x - x_i)$ with all $a leq x_0 < ldots < x_{n - 1} leq b$ and...
Asked on 02/08/2021 by harharkh
1 answerDuring his investigation of zeta Riemann defined the $xi$ function as $xi(s):= Gamma(frac{s}{2})(s-1)pi^{-s/2}zeta(s)$ which is an entire function that is invariant under the substitution $s to 1-s$....
Asked on 02/07/2021 by Mustafa Said
2 answerSay, we're given smooth functions $f_n$, $n=1,2,3,...$ defined on a smooth bounded domain $Omegasubsetmathbb{R}^d$ satisfying$Delta f_nge 0$ (subharmonic)$f_nge 0$$int_Omega f_n=I>0$ for all $ninmathbb{N}$...
Asked on 02/07/2021 by Fozz
1 answerAssuming Hardy-Littlewood $k$-tuple conjecture, do the "dual" prime constellations $(0,h_1, h_2,cdots, h_i,cdots, h_{k-1}=d)$ and $(0, h_{k-1}-h_{k-2}, h_{k-1}-h_{k-3},cdots,h'_i=h_{k-1}-h_{k-i},cdots,h_{k-1})$ corresponding to reversed sequences of prime gaps have the same...
Asked on 02/06/2021 by Sylvain JULIEN
1 answerIs there a web site where one can look up a Weierstrass equation, by discriminant say, or coefficients of some readily derivable "standard" form, and find the rank of its...
Asked on 02/05/2021 by John R Ramsden
4 answerI am reading Hitchin's Self-Duality paper. In section 5 (page 85), he is trying to prove that $Dim H^1=12(g-1)$. In doing so, he defines an operator ...
Asked on 02/05/2021
1 answerI wonder how people wrote papers in the pre-LaTeX era? I mean, when typewriters and simple computers were (60th-70th?). Did they indeed put formulas by hand in the already printed...
Asked on 02/03/2021 by psihodelia
28 answerI am trying to compute the Hochschild cohomology of a particular bound quiver path algebra. The quiver $Q$ consists of one vertex and four loops $x,y, h_1,h_2$, and...
Asked on 02/02/2021 by Serge
2 answerThis is a question about a diffusion process on the unit ball. In this article J.S, the author considered the following SDE in the closed unit ball...
Asked on 02/02/2021
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