{ "id": "2402.18300", "version": "v2", "published": "2024-02-28T12:45:19.000Z", "updated": "2024-06-26T09:09:13.000Z", "title": "A proof of the extended double shuffle relation without using integrals", "authors": [ "Shin-ichiro Seki" ], "comment": "8 pages, to appear in Kyushu Journal of Mathematics", "categories": [ "math.NT" ], "abstract": "We present a new proof of the extended double shuffle relation for multiple zeta values which notably does not rely on the use of integrals. This proof is based on a formula recently obtained by Maesaka, Watanabe, and the author.", "revisions": [ { "version": "v2", "updated": "2024-06-26T09:09:13.000Z" } ], "analyses": { "subjects": [ "11M32" ], "keywords": [ "extended double shuffle relation", "multiple zeta values" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }