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


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
Department of Mathematics
P.O. Box 118
S-221 00 Lund, Sweden


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