0167-8191/$ see front matter 2013 Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.parco.2013.01.003 q A preliminary version of part of the results presented in this paper appears in IPDPS’2012. ⇑ Corresponding author. Address: Laboratoire LIP, ENS Lyon, 69364 Lyon Cedex 07. Tel.: +33 472728586; fax: +33 472728080. E-mail address: [email protected] (Y. Robert). Jack Dongarra...

Here we study the automorphism groups of 1-designs constructed from finite nonabelian simple groups by using two methods presented in Moori (Information Security, Coding Theory and Related Combinatorics, 2011) [9]. We obtain some general results for both and improve one of these methods. In an application to the sporadic Mathieu groups Mn, we are able to retrieve the Steiner systems S(t, t+ 3, ...

In a recent paper, Fortin, Jacob and Mathieu [5] found congruences modulo powers of 2 for the values of the overpartition function p(n) in arithmetic progressions. The moduli for these congruences ranged as high as 64. This note shows that p(n) ≡ 0 (mod 64) for a set of integers of arithmetic density 1.

The study of sound attenuation in an elliptical chamber involves the solution of the Helmholtz equation in elliptic coordinate systems. The Eigen solutions for such problems involve the Mathieu and the modified Mathieu functions. The computation of such functions poses considerable challenge. An alternative method to solve such problems had been proposed in this paper. The elliptical cross-sect...

For theMathieu differential equation y(x)+[a−2q cos(x)]y(x) = 0with purely imaginary parameter q = is, the characteristic value a exhibits branching points. We analyze the properties of the Mathieu functions and their Fourier coefficients in the vicinity of the branching points. Symmetry relations for the Mathieu functions as well as the Fourier coefficients behind a branching point are given. ...

We show that the Mathieu groups M22 and M11 can act on the supersingular K3 surface with Artin invariant 1 in characteristic 11 as symplectic automorphisms. More generally we show that all maximal subgroups of the Mathieu group M23 with three orbits on 24 letters act on a supersingular K3 surface with Artin invariant 1 in a suitable characteristic.

It has recently been shown that the equation of motion of a massless scalar field in the background of some specific p branes can be reduced to a modified Mathieu equation. In the following the absorption rate of the scalar by a D3 brane in ten dimensions is calculated in terms of modified Mathieu functions of the first kind, using standard Mathieu coefficients. The relation of the latter to Do...