{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T13:59:54Z","timestamp":1775483994302,"version":"3.50.1"},"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>Motivated by questions of Mulmuley and Stanley we investigate\u00a0quasi-polynomials arising in formulas for plethysm. We\u00a0demonstrate, on the examples of $S^3(S^k)$ and $S^k(S^3)$, that these\u00a0need not be counting functions of inhomogeneous polytopes of dimension\u00a0equal to the degree of the quasi-polynomial. It follows that these\u00a0functions are not, in general, counting functions of lattice points in\u00a0any scaled convex bodies, even when restricted to single rays. Our\u00a0results also apply to special rectangular Kronecker coefficients.<\/jats:p>","DOI":"10.37236\/6597","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T15:37:22Z","timestamp":1578670642000},"source":"Crossref","is-referenced-by-count":3,"title":["Obstructions to Combinatorial Formulas for Plethysm"],"prefix":"10.37236","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3451-5021","authenticated-orcid":false,"given":"Thomas","family":"Kahle","sequence":"first","affiliation":[]},{"given":"Mateusz","family":"Micha\u0142ek","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2018,3,2]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i1p41\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i1p41\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:38:05Z","timestamp":1579235885000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v25i1p41"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,2]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2018,1,12]]}},"URL":"https:\/\/doi.org\/10.37236\/6597","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,3,2]]},"article-number":"P1.41"}}