Identities for \(1/\pi^2\) and special hypergeometric motives
John Voight (Dartmouth)
Location: Hill 705
Date & time: Wednesday, 13 November 2019 at 3:30PM - 4:30PM
Abstract: More than a century ago, Ramanujan discovered remarkable formulas for \(1/\pi\). Inspired by these discoveries, similar Ramanujan-like expressions for \(1/\pi^2\) have been uncovered recently by Guillera. We explain the provenance of these formulas: we recognize certain special hypergeometric motives as arising from Hilbert modular forms in an explicit way.
This is joint work with Lassina Demb\'el\'e, Alexei Panchishkin, and Wadim Zudilin.