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        This tag is used if a reference is needed in a paper or textbook on a specific result.

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        General SLLN-like asymptotic mean concentration

        Disclaimer: As I am not very knowledgeable of the field to which this question pertains, I will introduce a temporary terminology to convey the idea of my question at the risk of conflicting with ...
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        0answers
        55 views

        Assymptotics of Littlewood polynomials

        Littlewood in [L] states several conjectures regarding asymptotics of polynomials with $\pm1$ coefficients. He considers the class $\mathscr F$ of polynomials of form $\sum^n\pm z^m$ and asks whether ...
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        117 views

        Convergent sequences in projective varieties

        It's very well known that if $X$ is an irreducible projective variety (feel free to assume that the base-field is $\mathbb{C}$), then any two points $x,y\in X$ can be connected by the image of a non-...
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        250 views

        How should I think about the Grothendieck-Springer alteration?

        Given a simple complex Lie algebra $\mathfrak{g}$, recall the Springer resolution of its nilpotent cone $\widetilde{\mathcal{N}}\to \mathcal{N}$. Several times I have seen someone explaining Springer ...
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        52 views

        Integration on a family of differential forms

        Let $X$ be a smooth manifold, and denote by $\Omega^*(X)$ the set of all smooth differential forms on $X$. Assume we have a family of differential forms $\omega_t \in \Omega^*(X)$, $t\in E$, ...
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        1answer
        64 views

        Looking for a reference by Moree and Niklash

        A while ago I saved an internet reference to a work by P. Moree and G. Niklasch, published exclusively on a website, related to high-precision computations of constants related to prime numbers. I ...
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        1answer
        141 views

        Need software for subject classification to stick to, for personal library purposes?

        This question obviously applies to not only mathematics, so maybe I should post it on academia.SE or somewhere else; but then again, mathematical literature has its own specifics related to existing ...
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        1answer
        173 views

        A generalization of Landau's function

        For a given $n > 0$ Landau's function is defined as $$g(n) := \max\{ \operatorname{lcm}(n_1, \ldots, n_k) \mid n = n_1 + \ldots + n_k \mbox{ for some $k$}\},$$ the least common multiple of all ...
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        1answer
        69 views

        Why Triangle of Mahonian numbers T(n,k) forms the rank of the vector space?

        I am looking for an explanation of why Triangle of Mahonian numbers T(n,k) form the rank of the vector space $H^k(GL_n/B)$? With respect to the property of Kendall-Mann numbers where the statement ...
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        1answer
        62 views

        Congruence of normalized eigenforms at two primes

        Let $f_i\in S_{k_i}(\Gamma_0(N_i))$ be normalized cuspidal eigenforms for $i=1,2$ and let $K$ be the composite of the fields of Fourier coefficients generated by $f_1$ and $f_2$ and let $\mathfrak{p}...
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        Conditions for a pushforward of a involutive vector bundle to be involutive

        I know that the following statement is true, but I would like to find a reference for it so I don't have to write the proof. Do you guys have a reference? Let $\Omega$ and $\Omega'$ be smooth ...
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        252 views

        Almost graceful tree conjecture

        The graceful tree conjecture is the following statement: for any tree $T = (V, E)$ with $|V| = n$ there is a bijective map $f: V \to [n]$ such that $D = \{|f(x) - f(y)| \mid xy \in E\} = [n - 1]$. ...
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        45 views

        Theta Summable operator with bounded trace

        Let $D$ be an unboudned self-adjoint operator on the Hilbert space $H$. We assume that all spectrum of $D$ are eigenvalues and $D$ is theta-summable, i.e. $e^{-tD^2}$ is of trace class for all $t>...
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        74 views

        Foliation with a compact leaf

        Let $M$ be a closed oriented manifold, and $F$ be a foliation of $M$. We assume the dimension and codimension of $F$ are both greater than $1$. Q Under what condition, we can say that $F$ admits one ...
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        1answer
        341 views

        Is there a name of semidirect product of a group with its automorphism group?

        Consider the construction $G \rtimes \text{Aut}(G)$. Here $ G$ is a group, $\text{Aut}(G)$ is the automorphism group and the semidirect product is over the most obvious action. 1) Is there any name ...

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