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. [Permanent link]