Scholarworks Repository

Department of Mathematics - Faculty Publications

Department of Mathematics - Faculty Publications

 

Recent Submissions

  • 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 ...
  • 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 + ...
  • 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.
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Bright M. (ANN ARBORUNIV MICHIGAN DEPT MATHEMATICS 3217 ANGELL HALL, ANN ARBOR, MI 48109-1003 USA, 2013)
    [No abstract available]
  • 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 ...
  • 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 ...
  • Jameson M.; Raji W. (WARSAW 10SNIADECKICH 8, PO BOX 21,, 00-956 WARSAW 10, POLAND, 2013)
    [No abstract available]
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Diciccio T.J.; Kuffner T.A.; Young G.A. (OXFORDGREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND, 2012)
    Bayesian properties of the signed root likelihood ratio statistic are analysed. Conditions for first-order probability matching are derived by the examination of the Bayesian posterior and frequentist means of this statistic. ...
  • Kilford L.J.P.; Raji W. (DORDRECHTVAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS, 2012)
    Suppose N∈[13,17,19,21,26,29,31,34,39,41,49,50]. In this paper, we extend previous results of Kohnen-Mason (On the canonical decomposition of generalized modular functions, 2010) to prove that generalized modular forms for ...
  • Brock F.; Willem M. (SINGAPORE5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE, 2012)
    We prove that, if Ω is an open subset of N with finite measure, there exists a hyperplane H through 0 such that the measure of Ω ∩ H is less than the measure of B ∩ H, where B is the open ball with center 0 having the same ...

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