WZ-proofs of "divergent" Ramanujan-type series
Jesus Guillera
TL;DR
This paper introduces a Barnes-integrals approach using the WZ-method to prove certain divergent Ramanujan-type series related to 1/π and 1/π², expanding the understanding of these series.
Contribution
It presents a novel application of Barnes-integrals combined with the WZ-method to prove divergent Ramanujan-type series for 1/π and 1/π².
Findings
Proved new divergent Ramanujan-type series for 1/π and 1/π²
Applied Barnes-integrals in the context of WZ-method
Extended the class of Ramanujan-type series that can be rigorously analyzed
Abstract
We prove some "divergent" Ramanujan-type series for and applying a Barnes-integrals strategy of the WZ-method.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Mathematical functions and polynomials