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

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Advances in Combinatorics

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.

In memory of Herb Wilf

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References

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Correspondence to Gert Almkvist .

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Almkvist, G. (2013). Glaisher’s Formulas for \({\frac{1} {{\pi }^{2}}}\) and Some Generalizations. In: Kotsireas, I., Zima, E. (eds) Advances in Combinatorics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30979-3_1

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