How Borwein and Bradley's Hypergeometric Ugly Duckling Turned Into a Beautiful Eulerian Swan, Thanks to Almkvist and Granville's Magic

by Doron Zeilberger.

Written: Dec. 12, 1996.

Exclusive for this Web site.

Even if you have a great hammer, sometimes you may need a screwdriver. That's what happened to me and Shalosh. This short expository paper describes the main ideas in Gert Almkvist and Andrew Granville's paper Borwein and Bradley's Apery-like formulae for zeta(4n+3)) that proves a conjecture of Jon Borwein and David Bradley, `Empirically determined Apery-like formulae for zeta(4n+3)', (to appear in Experimental Math) that can be downloaded from CECM's Home Page.

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