{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T14:37:28Z","timestamp":1768315048614,"version":"3.49.0"},"reference-count":8,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2016,10,20]],"date-time":"2016-10-20T00:00:00Z","timestamp":1476921600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math. Z."],"published-print":{"date-parts":[[2017,6]]},"DOI":"10.1007\/s00209-016-1781-z","type":"journal-article","created":{"date-parts":[[2016,10,20]],"date-time":"2016-10-20T14:27:31Z","timestamp":1476973651000},"page":"741-749","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["The Frobenius problem for Mersenne numerical semigroups"],"prefix":"10.1007","volume":"286","author":[{"given":"J. C.","family":"Rosales","sequence":"first","affiliation":[]},{"given":"M. B.","family":"Branco","sequence":"additional","affiliation":[]},{"given":"D.","family":"Torr\u00e3o","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,10,20]]},"reference":[{"key":"1781_CR1","first-page":"1198","volume":"222","author":"R Ap\u00e9ry","year":"1946","unstructured":"Ap\u00e9ry, R.: Sur les branches superlin\u00e9aires des courbes alg\u00e9briques. C. R. Acad. Sci. Paris 222, 1198\u20131200 (1946)","journal-title":"C. R. Acad. Sci. Paris"},{"key":"1781_CR2","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198568209.001.0001","volume-title":"The Diophantine Frobenius Problem","author":"JL Ramirez Alfons\u00edn","year":"2005","unstructured":"Ramirez Alfons\u00edn, J.L.: The Diophantine Frobenius Problem. Oxford University Press, London (2005)"},{"key":"1781_CR3","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1016\/S0022-4049(01)00128-1","volume":"171","author":"JC Rosales","year":"2002","unstructured":"Rosales, J.C., Branco, M.B.: Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups. J. Pure Appl. Algebra 171, 303\u2013314 (2002)","journal-title":"J. Pure Appl. Algebra"},{"key":"1781_CR4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-0160-6","volume-title":"Numerical semigroups, Developments in Mathematics","author":"JC Rosales","year":"2009","unstructured":"Rosales, J.C., Garc\u00eda-S\u00e1nchez, P.A.: Numerical semigroups, Developments in Mathematics, vol. 20. Springer, New York (2009)"},{"issue":"294","key":"1781_CR5","first-page":"1","volume":"293","author":"ES Selmer","year":"1977","unstructured":"Selmer, E.S.: On linear diophantine problem of Frobenius. J. Reine Angew. Math. 293(294), 1\u201317 (1977)","journal-title":"J. Reine Angew. Math."},{"key":"1781_CR6","doi-asserted-by":"publisher","first-page":"79","DOI":"10.2307\/2369536","volume":"5","author":"JJ Sylvester","year":"1882","unstructured":"Sylvester, J.J.: On subvariants, i.e. Semi-invariants to binary quantics of an unlimited order. Am. J. Math. 5, 79\u2013136 (1882)","journal-title":"Am. J. Math."},{"key":"1781_CR7","unstructured":"Sylvester, J.J.: Problem 7382, The educational Times, and Journal of College Of Preceptors, New Series, 36 (266) (1883), 177. Solution by W.J. Curran Sharp, ibid. 36 (271) (1883). Republished as [9]"},{"key":"1781_CR8","volume-title":"Mathematical Questions with Their Solutions, Educational Times","author":"JJ Sylvester","year":"1884","unstructured":"Sylvester, J.J.: Mathematical Questions with Their Solutions, Educational Times, vol. 41. Francis Hodson, London (1884)"}],"container-title":["Mathematische Zeitschrift"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00209-016-1781-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00209-016-1781-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00209-016-1781-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,5,9]],"date-time":"2017-05-09T09:50:17Z","timestamp":1494323417000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00209-016-1781-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,10,20]]},"references-count":8,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2017,6]]}},"alternative-id":["1781"],"URL":"https:\/\/doi.org\/10.1007\/s00209-016-1781-z","relation":{},"ISSN":["0025-5874","1432-1823"],"issn-type":[{"value":"0025-5874","type":"print"},{"value":"1432-1823","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,10,20]]}}}