98,738 research outputs found

    New Upper Bounds for Mathieu-Type Series

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    The Mathieu’s series S(r) was considered firstly by É.L. Mathieu in 1890; its alternating variant Š(r) has been recently introduced by Pogány et al. [Some families of Mathieu a-series and alternating Mathieu a-series, 2006] where various bounds have been established for S, Š. In this note we obtain new upper bounds over S(r), Š(r) with the help of Hardy–Hilbert double integral inequality

    Integral Representation of a Series Which One Includes the Mathieu A-Series

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    AbstractIntegral expression is deduced for the series S(r,μ,ν,a)=∑n=1∞2F1ν−μ+12,ν−μ2+1;ν+1;−r2a(n)2a(n)ν−μ+1(a(n)2+r2)μ−1/2, where r>0, μ>1/2, ν+1<μ and a:0<a(1)<a(2)<⋯<a(n)↑∞, and 2F1 is the Gauß hypergeometric function. The result precizes the integral expression for the generalized Qi type Mathieu a-series S(r,p,a)=∑n=0∞a(n)(a(n)2+r2)−p−1 given in [J. Inequal. Pure Appl. Math. 4 (2003), (4.5)] generalizing some other results by Cerone and Lenard, Tomovski and Qi as well. Bounding inequalities are given for S(r,μ,ν,a) using the derived integral expression

    Torsion units in integral group ring of the Mathieu simple group M22

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    AbstractWe investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the Mathieu sporadic group M22. We confirm the Kimmerle conjecture on prime graphs for this group and specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.</jats:p

    P. Sérieux & F. Mathieu, l'alcool

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    Compayré Gabriel. P. Sérieux & F. Mathieu, l'alcool. In: Manuel général de l'instruction primaire : journal hebdomadaire des instituteurs. 63e année, tome 32, 1896. pp. 130-131

    2nd FUR4Sustain Happy Hour - Jean-Mathieu Pin (Polystyvert) 2022

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    &lt;p&gt;Talk by Jean-Mathieu Pin (Polystyvert) in the 2nd FUR4Sustain Happy Hour on "Green Recycling of Polystyrene and Associated Copolymers"&lt;/p&gt

    La série F des Archives nationales

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    Mathieu Rémi. La série F des Archives nationales. In: La Gazette des archives, n°60, 1968. pp. 15-19

    Caisse Nationale des Allocations Familiales (C.N.A.F.) - Branche Recherches et Prévisions - Bureau des statistiques (Mme F. Mathieu). Brochure Statistiques C.A.F. - 85 - Prestations de logement (du 1er juillet 1984 au 30 juin 1985)

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    Mathieu Françoise. Caisse Nationale des Allocations Familiales (C.N.A.F.) - Branche Recherches et Prévisions - Bureau des statistiques (Mme F. Mathieu). Brochure Statistiques C.A.F. - 85 - Prestations de logement (du 1er juillet 1984 au 30 juin 1985) . In: Recherches et Prévisions, n°5, juillet 1986. p. 25

    F. Leenhardt, L'Evolution, doctrine de liberté

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    Mathieu C. F. Leenhardt, L'Evolution, doctrine de liberté. In: Revue néo-scolastique de philosophie. 17ᵉ année, n°66, 1910. p. 288

    M. F. Pécaut et l’école de Fontenay

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    Gaufrès Mathieu-Jules. M. F. Pécaut et l’école de Fontenay. In: La revue pédagogique, tome 29, Juillet-Décembre 1896. pp. 389-393
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