{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,23]],"date-time":"2025-10-23T16:58:19Z","timestamp":1761238699788,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We show that for any prime $p\\neq 2$,  $$\\sum_{k=1}^{p-1}{(-1)^k\\over k}{-{1\\over 2} \\choose k} \\equiv -\\sum_{k=1}^{(p-1)\/2}{1\\over k} \\pmod{p^3}$$ by expressing the left-hand side as a combination of alternating multiple harmonic sums.<\/jats:p>","DOI":"10.37236\/288","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:17:42Z","timestamp":1578716262000},"source":"Crossref","is-referenced-by-count":13,"title":["Congruences Involving Alternating Multiple Harmonic Sums"],"prefix":"10.37236","volume":"17","author":[{"given":"Roberto","family":"Tauraso","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2010,1,14]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r16\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r16\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T00:02:08Z","timestamp":1579305728000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v17i1r16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1,14]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2010,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/288","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2010,1,14]]},"article-number":"R16"}}