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SUMMARY:Mahya Mehrabdollahei (Sorbonne Université)
DTSTART:20210521T123000Z
DTEND:20210521T133000Z
DTSTAMP:20260423T040006Z
UID:RSVP/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RSVP/13/">Ma
 hler measure of a family of exact polynomials</a>\nby Mahya Mehrabdollahei
  (Sorbonne Université) as part of Rendez-vous on special values and perio
 ds\n\n\nAbstract\nI will present results around the Mahler measure of a fa
 mily of 2-variate exact polynomials. The closed formula for the Mahler mea
 sure of two-variable exact polynomials gives an expression of each of thes
 e Mahler measures as a finite sum of the values of Dilogarithm at certain 
 roots of unity. \n\nThis allows to compute their values with any precision
 \, and to use the techniques of Riemann sums to compute the limit of this 
 sequence of Mahler measures and an asymptotic expansion\, with a link to a
  theorem of Boyd and Lawton.\nFinally\, for small values of d\, we can rel
 ate these Mahler measures to values of special values of L-function\, with
  a link with works of Boyd-Rodriguez Villegas and others.\n
LOCATION:https://researchseminars.org/talk/RSVP/13/
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