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IMCS/Publications/CSJM/Issues/CSJM v.17, n.1 (49), 2009/

Ramanujan-like formulas for 1/π2 a la Guillera and Zudilin and Calabi-Yau differential equations

Authors: Gert Almkvist

Abstract

Using the PSLQ-algorithm J.Guillera found some formulas for 12. He proved three of them using WZ-pairs. Then W. Zudilin showed how to produce formulas for 12 by squaring formulas for 1. The success of this depends on facts related to Calabi-Yau differential equations of string theory. Here some examples of this is worked out. Also some formulas containing harmonic numbers are found by differentiating formulas for 12.

Lund University
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