{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:04Z","timestamp":1753893784712,"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 prove a conjecture of Desrosiers, Lapointe and Mathieu giving a closed form formula for the norm of the Jack polynomials in superspace with respect to a certain scalar product.  The proof is mainly combinatorial and relies on the explicit expression in terms of admissible tableaux of the non-symmetric Jack polynomials.  In the final step of the proof appears an identity on weighted sums of partitions that we demonstrate using the methods of Gessel-Viennot.<\/jats:p>","DOI":"10.37236\/159","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:29:22Z","timestamp":1578716962000},"source":"Crossref","is-referenced-by-count":5,"title":["A Normalization Formula for the Jack Polynomials in Superspace and an Identity on Partitions"],"prefix":"10.37236","volume":"16","author":[{"given":"Luc","family":"Lapointe","sequence":"first","affiliation":[]},{"given":"Yvan Le","family":"Borgne","sequence":"additional","affiliation":[]},{"given":"Philippe","family":"Nadeau","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2009,6,5]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v16i1r70\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v16i1r70\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T02:53:08Z","timestamp":1579315988000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v16i1r70"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,6,5]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2009,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/159","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2009,6,5]]},"article-number":"R70"}}