Glaisher’s Formulas for $${\frac{1} {{\pi }^{2}}}$$ and Some Generalizations

Gert Almkvist ()
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Gert Almkvist: Institute for Algebraic Meditation

A chapter in Advances in Combinatorics, 2013, pp 1-21 from Springer

Abstract: Abstract Glaisher’s formulas for $${\dfrac{1} {\pi }^{2}}$$ are reviewed. Two generalized formulas are proved by using the WZ-method (named after Wilf and Zeilberger). Also an improvement of Fritz Carlson’s theorem (proved in an Appendix by Arne Meurman) is used.

Keywords: π; Glaisher (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-642-30979-3_1

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