191,052 research outputs found
New Upper Bounds for Mathieu-Type Series
No full textThe 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
No full textAbstractIntegral 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
Faust und Mephisto : Bronzegruppe von Mathieu Molitor / Aufn.: Peter R. Völker
No full textFAUST UND MEPHISTO : BRONZEGRUPPE VON MATHIEU MOLITOR / AUFN.: PETER R. VÖLKER
Faust und Mephisto : Bronzegruppe von Mathieu Molitor / Aufn.: Peter R. Völker (1)
Cover (1)
Faust und Mephisto (4
Generalized Mathieu Moonshine
No full textThe Mathieu twisted twining genera, i.e., the analogues of Norton's generalized Moonshine functions, are constructed for the elliptic genus of K3. It is shown that they satisfy the expected consistency conditions, and that their behaviour under modular transformations is controlled by a 3-cocycle in H-3(M-24, U(1)), just as for the case of holomorphic orbifolds. This suggests that a holomorphic VOA may be underlying Mathieu Moonshine
Mathieu Moonshine and Orbifold K3s
No full textThe current status of `Mathieu Moonshine', the idea that the Mathieu group M24 organises the elliptic genus of K3, is reviewed. While there is a consistent decomposition of all Fourier coefficients of the elliptic genus in terms of Mathieu M24 representations, a conceptual understanding of this phenomenon in terms of K3 sigma-models is still missing. In particular, it follows from the recent classification of the automorphism groups of arbitrary K3 sigma-models that (i) there is no single K3 sigma-model that has M24 as an automorphism group; and (ii) there exist `exceptional' K3 sigma-models whose automorphism group is not even a subgroup of M24. Here we show that all cyclic torus orbifolds are exceptional in this sense, and that almost all of the exceptional cases are realised as cyclic torus orbifolds. We also provide an explicit construction of a Z5 torus orbifold that realises one exceptional class of K3 sigma-models
Mathieu Moonshine and symmetries of K3 sigma-models
No full textA recent observation by Eguchi, Ooguri and Tachikawa (EOT) suggests a relationship between the largest Mathieu group M24 and the elliptic genus of K3. This correspondence would be naturally explained by the existence of a non-linear sigma-model on K3 with the Mathieu group as its group of symmetries. However, all possible symmetry groups of K3 models have been recently classified and none of them contains M24. We review the evidence in favour of the EOT conjecture and discuss the open problems in its physical interpretation
Rutten (Dr. Mathieu). De lyriek van Karel van de Woestijne
No full textVanderveiken R. Rutten (Dr. Mathieu). De lyriek van Karel van de Woestijne. In: Revue belge de philologie et d'histoire, tome 15, fasc. 3-4, 1936. pp. 1049-1051
Les médias et les TIC dans le Programme de formation de l’école québécoise
No full textÀ la suite du colloque du 23 octobre, Éduquer aux médias : une priorité collective — un événement organisé par Normand Landry, Anne-Sophie Letellier, Mario Richard, Christian Agbobli et Raymond Corriveau, présenté par le Conseil de presse et la TÉLUQ — un ouvrage réunissant des essais de plusieurs horizons fera le point sur ces questions.
Les contributeurs : Christian Agbobli ; Guy Amyot ; Mathieu Bégin ; Raymond Corriveau ; Martine Delvaux ; Michael Hoechsmann ; Normand Landry ; Anne-Sophie Letellier ; Thierry Plante ; Mario Richard ; Leslie Regan Shade ; Tamara Shepherd ; Simon Tremblay-Pepin et Carolyn Wilson.
Le livre : Éducation aux médias : fondations, enjeux et perspectives. Sous la direction de Normand Landry et Anne-Sophie Letellier. PUM, 2017
Non invertibility of certain almost mathieu operators
No full textIt is shown that the almost Mathieu operators of the type Ten=en-1 + λsin(2nr)en + en+1 where λ is real and r is a rational multiple of π and {en:n = 1,2,3,....} an orthonormal basis for a Hilbert space, is notinvertible
Non invertibility of certain almost mathieu operators
No full textIt is shown that the almost Mathieu operators of the type Ten=en-1 + λsin(2nr)en + en+1 where λ is real and r is a rational multiple of π and {en:n = 1,2,3,....} an orthonormal basis for a Hilbert space, is notinvertible
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