A second-quantized version of Mathieu moonshine leads to product formulae for functions that are potentially genus-two Siegel Modular Forms analogous the Igusa Cusp Form. The modularity these do not follow in an obvious manner. For some conjugacy classes, but all, they match known modular forms. In this paper, we express all classes $M_{24}$ terms products standard This provides a new proof the...

We obtain partial results on the conjecture that for the almost Mathieu operator at irrational frequency, α, the measure of the spectrum, S(α,Λ,,θ) = |4 — 2\λ\\. For \λ\ή=2 we show that if an is rational and αM-^α irrational, then S+(απ,λ,0)-»|4 -2|λ||.

Narsimhulu Pittala1, Smail Triki1, Franck Thétiot1, Kamel Boukheddaden2, Guillaume Chastanet3, Mathieu Marchivie3 1Department Of Chemistry, UMR CNRS 6521, Université De Bretagne Occidentale (UBO), Brest, France, 2Groupe d\'étude de la matière condensée (GEMaC), Université de Versailles Saint-Quentin, Versailles, France, 3CNRS, Université Bordeaux, ICMCB, UPR 9048, Bordeaux, France E-mail: narsi...

The intervals of electrohydrodynamic Rayleigh-Taylor instability influenced by a periodic normal field are considered. It is shown that a linear model of the interface is governed by Hill's differential equation. Characteristic values and intervals of stability are discussed. The special case of Mathieu differential equation type is obtained.

We introduce the basic properties of solitons in elliptical photonic lattices induced optically by a superposition of Mathieu beams. Owing to the modulation of the intensity along its elliptical rings, these lattices allow novel dynamics of propagation, being possible, for the first time to our knowledge, to propagate solitons in an elliptic motion with varying rotation rate.

Propellants, Explosives, PyrotechnicsVolume 47, Issue 2 e202200005 ErratumFree Access Erratum: Modeling Sensitivities of Energetic Materials using the Python Language and Libraries This article corrects following: Didier Mathieu, Volume 45Issue 6Propellants, Pyrotechnics pages: 966-973 First Published online: February 21, 2020 Mathieu | Fax: (+33)0247345158 Search for more papers by this author...

The result involution graph of a finite group , denoted by is an undirected simple whose vertex set the whole and two distinct vertices are adjacent if their product element. In this paper, graphs for all Mathieu groups connectivity in studied. diameter, radius girth also Furthermore, several other properties obtained.