Remarque au travail de W. Sierpiński sur les nombres $a^{2^{n}}+1$

Andrzej Schinzel

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Sur la recherche des $p$ -extensions non ramifiées de $ℚ (μ_{p})$

Kenneth A. Ribet (1975-1976)

Groupe d'étude d'algèbre

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Propagation of singularities for the wave equation on manifolds with corners

András Vasy (2004-2005)

Séminaire Équations aux dérivées partielles

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In this talk we describe the propagation of $𝒞^{\infty}$ and Sobolev singularities for the wave equation on $𝒞^{\infty}$ manifolds with corners $M$ equipped with a Riemannian metric $g$ . That is, for $X = M \times ℝ_{t}$ , $P = D_{t}^{2} - Δ_{M}$ , and $u \in H_{loc}^{1} (X)$ solving $P u = 0$ with homogeneous Dirichlet or Neumann boundary conditions, we show that ${WF}_{b} (u)$ is a union of maximally extended generalized broken bicharacteristics. This result is a $𝒞^{\infty}$ counterpart of Lebeau’s results for the propagation of analytic singularities on real analytic manifolds with appropriately stratified...

Spaces of type $H^{\infty} + C$

Walter Rudin (1975)

Annales de l'institut Fourier

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A simple theorem is proved which states a sufficient condition for the sum ot two closed subspaces of a Banach space to be closed. This leads to several analogues of Sarason’s theorem which states that $H^{\infty} + C$ is a closed subalgebra of $L^{\infty}$ . In these analogues, the unit circle is replaces by other groups, and the unit disc is replaced by polydiscs or by balls in spaces of several complex variables. Sums of closed ideals in Banach algebras are also studied.

Estimates of the number of rational mappings from a fixed variety to varieties of general type

Tanya Bandman, Gerd Dethloff (1997)

Annales de l'institut Fourier

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First we find effective bounds for the number of dominant rational maps $f : X \to Y$ between two fixed smooth projective varieties with ample canonical bundles. The bounds are of the type ${A \cdot K_{X}^{n}}^{{B \cdot K_{X}^{n}}^{2}}$ , where $n = \dim X$ , $K_{X}$ is the canonical bundle of $X$ and $A, B$ are some constants, depending only on $n$ . Then we show that for any variety $X$ there exist numbers $c (X)$ and $C (X)$ with the following properties: For any threefold $Y$ of general type the number of dominant rational maps $f : X \to Y$ is bounded above by $c (X)$ . ...

On a topological characterization of plane geometries

Istvan Fary (1965)

Séminaire Ehresmann. Topologie et géométrie différentielle

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Sur la recherche des $p$ -extensions non ramifiées de $ℚ (μ_{p})$

Propagation of singularities for the wave equation on manifolds with corners

Spaces of type $H^{\infty} + C$

Estimates of the number of rational mappings from a fixed variety to varieties of general type

On a topological characterization of plane geometries

On nonparasite solutions

Gaussian measures on $L_{p}$ spaces, $0 \leq p < \infty$

The Q-matrix problem 3 : the Lévy-kernel problem for chains

Displaying similar documents to “Remarque au travail de W. Sierpiński sur les nombres a 2 n + 1 ”

Displaying similar documents to “Remarque au travail de W. Sierpiński sur les nombres $a^{2^{n}} + 1$ ”