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Searching symbolically for Apery-like formulae for values of the Riemann zeta function

Jonathan M. Borwein, David M. Bradley

math.CAarXiv:math/0505093

Abstract

We discuss some aspects of the search for identities using computer algebra and symbolic methods. The focus is on so-called Apery-like formulae for special values of the Riemann Zeta function. Much work lays ahead in formally proving and properly classifying many of the identities we have uncovered.

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