• Construction of vector-valued modular integrals and vector-valued mock modular forms 

  Gimenez J.; Muhlenbruch T.; Raji W. (Kluwer Academic Publishers;, 2014)

  It is known that, given a vector-valued modular form of negative weight, its Fourier coefficients can be calculated based on the principal part of the form. In this paper we start with an arbitrary principal part and ...
• Noncommutative description of spin hall effect 

  Jellal A.; Houca R. (SINGAPORE5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE, 2009)

  We propose an approach based on a generalized quantum mechanics to deal with the basic features of the intrinsic spin Hall effect. This can be done by considering two decoupled harmonic oscillators on the noncommutative ...
• Unimodularity of zeros of period polynomials of Hecke eigenforms 

  El-Guindy A.; Raji W. (Oxford University Press; OXFORDGREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND, 2014)

  We prove that all the zeros of the full period function of any Hecke eigenform lie on the unit circle. © 2014 London Mathematical Society.
• Generating functions for hecke operators 

  Al Hajj Shehadeh H.; Jaafar S.; Khuri-Makdisi K. (SINGAPORE5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE, 2009)

  Fix a prime N, and consider the action of the Hecke operator TN on the space Mκ(SL(2, Z)) of modular forms of full level and varying weight κ. The coefficients of the matrix of TN with respect to the basis [E4i E6j 4i + ...
• The tree model of a meromorphic plane curve 

  Assi A. (Real Acadademia de Ciencias; MILANVIA DECEMBRIO, 28, MILAN, 20137, ITALY, 2014)

  We associate with a plane meromorphic curve f a tree model T(f) based on its contact structure. Then we give a description of the y-derivative of f (resp. the Jacobian J(f, g)) in terms of T(f) (resp. T(f, g)). We also ...
• Meromorphic functions compatible with homomorphisms of actions on C 

  Maalouf R.N.; Raji W. (2012)

  We consider homomorphisms H : G1 → G2 of holomorphic (group or pseudogroup) actions G1 and G2 on domains Ω1 and Ω2 respectively in C, together with meromorphic functions f that are compatible with these homomorphisms in ...
• Generalized maass wave forms 

  Muhlenbruch T.; Raji W. (PROVIDENCE201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA, 2013)

  We initiate the study of generalized Maass wave forms, those Maass wave forms for which the multiplier system is not necessarily unitary. We then prove some basic theorems inherited from the classical theory of modular ...
• Central schemes on unstructured grids 

  Touma R.; Jannoun G. (2012)

  In this paper we present a two-dimensional extension of the staggered Lax-Friedrichs scheme for the approximate solution of hyperbolic conservation laws on unstructured grids. By evolving the numerical solution on two ...
• Quadratic polynomials, period polynomials, and Hecke operators 

  Jameson M.; Raji W. (WARSAW 10SNIADECKICH 8, PO BOX 21,, 00-956 WARSAW 10, POLAND, 2013)

  [No abstract available]
• Weighted isoperimetric inequalities in cones and applications 

  Brock F.; Chiacchio F.; Mercaldo A. (OXFORDTHE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2012)

  This paper deals with weighted isoperimetric inequalities relative to cones of RN. We study the structure of measures that admit as isoperimetric sets the intersection of a cone with balls centered at the vertex of the ...
• Quantum hall effect on the flag manifold F2 

  Daoud M.; Jellal A. (SINGAPORE5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE, 2008)

  The Landau problem on the flag manifold F2 = SU(3)-U(1)×U(1) is analyzed from an algebraic point of view. The involved magnetic background is induced by two U(1) Abelian connections. In quantizing the theory, we show that ...
• Brauer groups of singular del Pezzo surfaces 

  Bright M. (ANN ARBORUNIV MICHIGAN DEPT MATHEMATICS 3217 ANGELL HALL, ANN ARBOR, MI 48109-1003 USA, 2013)

  [No abstract available]
• Adaptive time-step with anisotropic meshing for incompressible flows 

  Coupez T.; Jannoun G.; Nassif N.; Nguyen H.C.; Digonnet H.; Hachem E. (SAN DIEGO525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA, 2013)

  This paper presents a method of combining anisotropic mesh adaptation and adaptive time-stepping for Computational Fluid Dynamics (CFD). First, we recall important features of the anisotropic meshing approach using a ...
• Eichler cohomology of generalized modular forms of real weights 

  Raji W. (PROVIDENCE201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA, 2013)

  In this paper, we prove the Eichler cohomology theorem of weakly parabolic generalized modular forms of real weights on subgroups of finite index in the full modular group. We explicitly establish the isomorphism for large ...
• Gorenstein hilbert coefficients 

  Khoury S.E.; Srinivasan H. (TEMPEARIZ STATE UNIV, DEPT MATH, TEMPE, AZ 85287-1904 USA, 2013)

  We prove upper and lower bounds for all the coefficients in the Hilbert polynomial of a graded Gorenstein algebra S = R-I with a quasi-pure resolution over R. The bounds are in terms of the minimal and the maximal shifts ...
• A globally adaptive explicit numerical method for exploding systems of ordinary differential equations 

  Nassif N.R.; Makhoul-Karam N.; Erhel J. (AMSTERDAMPO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2013)

  This paper considers the mathematical framework of a sliced-time computation method for explosive solutions to systems of ordinary differential equations: Y(t)â̂̂Rk:dYdt=F(Y), 0andlt;t, Y(0)= Y0, that have finite or infinite ...
• Eichler integrals for maass cusp forms of half-integral weight 

  Muhlenbruch T.; Raji W. (University of Illinois;, 2013)

  In this paper, we define and discuss Eichler integrals for Maass cusp forms of half-integral weight on the full modular group. We discuss nearly periodic functions associated to the Eichler integrals, introduce period ...
• Non-oscillatory central schemes on unstructured grids for two-dimensional hyperbolic conservation laws 

  Touma R.; Jannoun G. (AMSTERDAMPO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2012)

  We propose a new central finite volume scheme on unstructured triangular grids to approximate the solution of general two-dimensional hyperbolic systems of conservation laws. The proposed method is an unstructured ...
• Moduli interpretation of Eisenstein series 

  Khuri-Makdisi K. (SINGAPORE5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE, 2012)

  Let ℓ ≥ 3. Using the moduli interpretation, we define certain elliptic modular forms of level Γ(ℓ) over any field k where 6ℓ is invertible and k contains the ℓth roots of unity. These forms generate a graded algebra R ℓ, ...
• Thermodynamical properties of Hall systems 

  Jellal A.; Khedif Y. (SINGAPORE5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE, 2008)

  We study quantum Hall effect within the framework of a newly proposed approach, which captures the principal results of some proposals. This can be established by considering a system of particles living on the noncommutative ...

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