{ "id": "2007.12042", "version": "v1", "published": "2020-07-23T14:40:43.000Z", "updated": "2020-07-23T14:40:43.000Z", "title": "Some conjectures on congruences involving $\\frac{\\binom{2k}k}{2k-1}$", "authors": [ "Zhi-Hong Sun" ], "comment": "14 pages", "categories": [ "math.NT" ], "abstract": "In this paper, we pose many conjectures on congruences involving $\\frac{\\binom{2k}k}{2k-1}$.", "revisions": [ { "version": "v1", "updated": "2020-07-23T14:40:43.000Z" } ], "analyses": { "subjects": [ "11A07", "11B65", "11E25" ], "keywords": [ "conjectures" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }