148,378 research outputs found
New Upper Bounds for Mathieu-Type Series
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
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
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
Conférence de Mme Séverine Mathieu
Mathieu Séverine. Conférence de Mme Séverine Mathieu. In: École pratique des hautes études, Section des sciences religieuses. Annuaire. Tome 111, 2002-2003. 2002. pp. 375-376
Allocution de M. Georges Mathieu, président
Mathieu Georges. Allocution de M. Georges Mathieu, président. In: Revue des Études Grecques, tome 58, fascicule 274-278,1945. pp. 15-25
Catalogue des livres de fonds et d'assortiment, qui se trouvent chez Ancelle, libraire, rue de la Harpe, n.° 44, à Paris.
[Catalogue de libraire. Paris. Ancelle, Jacques-Mathieu. 1819]Avec mode text
Manuel Mathieu
Manuel Mathieu (b. 1986) is a multi-disciplinary artist, working with painting, ceramics and installation. His work investigates themes of historical violence, erasure and cultural approaches to physicality, nature and spiritual legacy. Link to the artist\u27s website.https://egrove.olemiss.edu/art_talks/1014/thumbnail.jp
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