CARMA ANALYSIS AND NUMBER THEORY SEMINAR Speaker: Prof Wadim Zudilin, CARMA, The University of Newcastle Title: Ramanujan-style mathematics for Mahler measures Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle Time and Date: 3:30 pm, Wed, 13th Apr 2011 Abstract: In my talk I will review some recent progress on evaluations of Mahler measures via hypergeometric series and Dirichlet L-series. I will provide more details for the case of the Mahler measure of $1+x+1/x+y+1/y$, whose evaluation was observed by C. Deninger and conjectured by D. Boyd (1997). The main ingredients are relations between modular forms and hypergeometric series in the spirit of Ramanujan. The talk is based on joint work with Mat Rogers. [Permanent link]