Browsing by Subject "Dirichlet series"

Now showing items 1-5 of 5

    • A converse theorem for Jacobi cusp forms of degree two 
      Kohnen, Winfried; Shankhadhar, Karam Deo; Martin, Yves (Institute of Mathematics. Polish Academy of Sciences, 2019)
    • Discrepancies of products of zeta-regularized products 
      Castillo Gárate, Víctor; Friedman Rafael, Eduardo (International Press of Boston, Inc., 2012)
      Zeta-regularized products Πmam are known not to commute with finite products, so one studies the discrepancy Fn given by exp(Fn) := {equation presented}. For a rather general class of products, associated to polynomials ...
    • On convolutions of Siegel modular forms 
      Imamoglu, Özlem; Martin, Yves (2004)
      In this article we study a Rankin-Selberg convolution of n complex variables for pairs of degree n Siegel cusp forms. We establish its analytic continuation to ℂn, determine its functional equations and find its singular ...
    • On the analogue of Weil's converse theorem for Jacobi forms and their lift to half-integral weight modular forms 
      Martín González, Yves; Osses, Denis (Springer, 2011)
      We generalize Weil's converse theorem to Jacobi cusp forms of weight k, index m and Dirichlet character χ over the group Γ0(N)⋉ℤ2. Then two applications of this result are given; we generalize a construction of Jacobi forms ...
    • Special values of Dirichlet series and zeta integrals 
      Friedman Rafael, Eduardo; Pereira, Aldo (2012)
      For f and g polynomials in p variables, we relate the special value at a non-positive integer s = -N, obtained by analytic continuation of the Dirichlet series ζ(s;f, g) = ∑ k1 = 0 ∞⋯∑ kp = 0 ∞g(k 1,⋯,k p)f(k 1,⋯,k p) -s ...