{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T20:10:33Z","timestamp":1774555833597,"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>Inspired by recent questions of Nathanson, we show that for any infinite abelian group $G$ and any integers $m_1, \\ldots, m_H$, there exist finite subsets $A,B \\subseteq G$ such that $|hA|-|hB|=m_h$ for each $1 \\leq h \\leq H$. We also raise, and begin to address, questions about the smallest possible cardinalities and diameters of such sets $A,B$.<\/jats:p>","DOI":"10.37236\/14406","type":"journal-article","created":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T19:48:26Z","timestamp":1774554506000},"source":"Crossref","is-referenced-by-count":0,"title":["Finer Control on Relative Sizes of Iterated Sumsets"],"prefix":"10.37236","volume":"33","author":[{"given":"Jacob","family":"Fox","sequence":"first","affiliation":[]},{"given":"Noah","family":"Kravitz","sequence":"additional","affiliation":[]},{"given":"Shengtong","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2026,3,27]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v33i1p56\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v33i1p56\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T19:48:26Z","timestamp":1774554506000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v33i1p56"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,3,27]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2026,1,9]]}},"URL":"https:\/\/doi.org\/10.37236\/14406","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,3,27]]},"article-number":"P1.56"}}