• CARMA ANALYSIS AND NUMBER THEORY SEMINAR
  • Speaker: Prof Wadim Zudilin, CARMA, The University of Newcastle
  • Title: Hypergeometric evaluations of lattice sums
  • Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Time and Date: 3:30 pm, Wed, 8th Sep 2010
  • Abstract:

    It is an expository talk about (conjectural) hypergeometric evaluations of lattice sums

    $F(a,b,c,d)=(a+b+c+d)^2\sum_{n_j=-\infty,\ j=1,2,3,4}^\infty \frac{(-1)^{n_1+n_2+n_3+n_4}}{(a(6n_1+1)^2+b(6n_2+1)^2+c(6n_3+1)^2+d(6n_4+1)^2)^2}$

    which arise as the values of L-functions of certain elliptic curves.


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