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Time-and space-efficient evaluation of some hypergeometric constants

Time-and space-efficient evaluation of some hypergeometric constants

The currently best known algorithms for the numerical evaluation of hypergeometric constants such as ζ(3) to d decimal digits have time complexity O(M (d) log 2 d) and space complexity of O(d log d) or O(d).Following work from Cheng, Gergel, Kim and Zima, we present a new algorithm with the …