{ "id": "1709.04039", "version": "v1", "published": "2017-09-12T19:38:07.000Z", "updated": "2017-09-12T19:38:07.000Z", "title": "Elementary proof of congruences involving sum of binomial coefficients", "authors": [ "Moa Apagodu" ], "comment": "10 pages", "categories": [ "math.CO", "math.NT" ], "abstract": "We provide elementary proof for several congruences involving sum of binomial coefficients (single sum and multi-sum) and derive some new congruences. Also we state similar problems where our method fails to apply.", "revisions": [ { "version": "v1", "updated": "2017-09-12T19:38:07.000Z" } ], "analyses": { "keywords": [ "binomial coefficients", "elementary proof", "congruences", "state similar problems" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }