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Automatic Conjecturing and Proving of Exact Values of Some Infinite Families of Infinite Continued Fractions

Inspired by the recent pioneering work, dubbed "The Ramanujan Machine" by Raayoni et al. (arXiv:1907.00205), we (automatically) [rigorously] prove some of their conjectures regarding the exact values of some specific infinite continued fractions, and generalize them to evaluate infinite families (naturally generalizing theirs). Our work complements their beautiful approach, since we use symbolic rather than numeric computations, and we instruct the computer to not only discover such evaluations, but at the same time prove them rigorously.

preprint2020arXivOpen access
Robert Dougherty-BlissDoron Zeilberger
math.NT
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Robert Dougherty-BlissDoron Zeilberger

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