On Zudilin-like rational approximations to ζ(5)
On Zudilin-like rational approximations to ζ(5)
In this paper we obtain two Zudilin-Like recurrence relations of third order for ζ(5), after applying Zeilberger's algorithm of creative telescoping to some hypergeometric series.These recurrence relations do not supply diophantine approximations to ζ (5) that prove its irrationality, however it presents an algorithm for fast calculation of this constant.Moreover, …