• Introduction to Computational Linear Algebra 

  Nassif, Nabil; Erhel, Jocelyne; Philippe, Bernard (CRC Press, )

  Discusses the fundamentals needed in numerical linear algebra, including eigenvalues, vector and matrix norms, orthogonal matrices, the Gram–Schmidt process, and singular value decomposition. Illustrates algorithms for ...
• On the Theory of Maass Wave Forms 

  Raji, Wissam; Mühlenbruch, Tobias (Springer, Cham, )

  This textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers will find this unified presentation invaluable, as it treats Maass wave forms as the central area of interest. Subjects at ...
• Introduction to Numerical Analysis and Scientific Computing 

  Nassif, Nabil; Fayyad, Dolly K. (CRC Press, )

  Designed for a one-semester course, Introduction to Numerical Analysis and Scientific Computing presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. The ...
• An Introductory Course in Elementary Number Theory 

  Raji, Wissam (Saylor Foundation, )

  This books serves as an introduction to the theory of numbers. It is intended to equip the reader with sufficient background to study higher number theoretic courses.
• 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 + ...
• 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.
• 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 ...
• 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 ...
• 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 ...
• 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 ...
• 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 ...
• 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 ...
• 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]
• 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 ...
• 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 ...
• 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 ...

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