{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T19:48:40Z","timestamp":1767988120635,"version":"3.49.0"},"reference-count":16,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[1999,5,1]],"date-time":"1999-05-01T00:00:00Z","timestamp":925516800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":5191,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1999,5]]},"DOI":"10.1016\/s0012-365x(99)00027-8","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T12:12:16Z","timestamp":1027599136000},"page":"271-277","source":"Crossref","is-referenced-by-count":25,"title":["Minimal zero-sequences and the strong Davenport constant"],"prefix":"10.1016","volume":"203","author":[{"given":"Scott T.","family":"Chapman","sequence":"first","affiliation":[]},{"given":"Michael","family":"Freeze","sequence":"additional","affiliation":[]},{"given":"William W.","family":"Smith","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0012-365X(99)00027-8_BIB1","doi-asserted-by":"crossref","first-page":"27","DOI":"10.4153\/CMB-1975-004-4","article-title":"Conditions for zero sum modulo n","volume":"18","author":"Bovey","year":"1975","journal-title":"Canad. Math. Bull."},{"key":"10.1016\/S0012-365X(99)00027-8_BIB2","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/0012-365X(94)00308-6","article-title":"Zero-sum problems, a survey","volume":"152","author":"Caro","year":"1996","journal-title":"Discrete Math."},{"key":"10.1016\/S0012-365X(99)00027-8_BIB3","unstructured":"S.T. Chapman, On the Davenport constant, the cross number and their application in factorization theory, Zero-dimensional Commutative Rings, Lecture Notes in Pure and Applied Mathematics, vol. 189, Marcel Dekker, New York, 1995, pp. 167\u2013190."},{"key":"10.1016\/S0012-365X(99)00027-8_BIB4","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1112\/blms\/26.2.140","article-title":"Grasmann derivative and additive theory","volume":"26","author":"Dias da Silva","year":"1994","journal-title":"Bull. London Math. Soc."},{"key":"10.1016\/S0012-365X(99)00027-8_BIB5","doi-asserted-by":"crossref","first-page":"149","DOI":"10.4064\/aa-9-2-149-159","article-title":"On the addition of residue classes mod p","volume":"9","author":"Erd\u00f6s","year":"1964","journal-title":"Acta Arith."},{"key":"10.1016\/S0012-365X(99)00027-8_BIB6","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/S0012-365X(96)00012-X","article-title":"On the number of zero-sum subsequences","volume":"163","author":"Gao","year":"1997","journal-title":"Discrete Math."},{"key":"10.1016\/S0012-365X(99)00027-8_BIB7","unstructured":"W.D. Gao, A. Geroldinger, On long minimal zero sequences in finite Abelian groups, preprint."},{"key":"10.1016\/S0012-365X(99)00027-8_BIB8","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1006\/jnth.1993.1035","article-title":"On a conjecture of Kleitman and Lemke","volume":"44","author":"Geroldinger","year":"1993","journal-title":"J. Number Theory"},{"key":"10.1016\/S0012-365X(99)00027-8_BIB9","doi-asserted-by":"crossref","first-page":"143","DOI":"10.4064\/aa-78-2-143-152","article-title":"On zero-free subset sums","volume":"78","author":"Hamidoune","year":"1996","journal-title":"Acta Arith."},{"key":"10.1016\/S0012-365X(99)00027-8_BIB10","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1016\/0022-314X(89)90077-2","article-title":"An addition theorem on the integers modulo n","volume":"31","author":"Kleitman","year":"1989","journal-title":"J. Number Theory"},{"key":"10.1016\/S0012-365X(99)00027-8_BIB11","unstructured":"S. Lang, Algebra, Second ed., Addison-Wesley, Reading, MA, 1984."},{"key":"10.1016\/S0012-365X(99)00027-8_BIB12","unstructured":"H.B. Mann, Addition theorems: the addition theorems of group theory and number theory, Interscience Publishers, Wiley, New York, 1965."},{"key":"10.1016\/S0012-365X(99)00027-8_BIB13","doi-asserted-by":"crossref","unstructured":"M.B. Nathanson, Additive Number Theory, Springer-Verlag Graduate Texts in Mathematics, vol. 165, Springer, Berlin, 1996.","DOI":"10.1007\/978-1-4757-3845-2"},{"key":"10.1016\/S0012-365X(99)00027-8_BIB14","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/S0021-9800(68)80027-4","article-title":"An addition theorem modulo p","volume":"5","author":"Olson","year":"1968","journal-title":"J. Combin. Theory"},{"key":"10.1016\/S0012-365X(99)00027-8_BIB15","doi-asserted-by":"crossref","first-page":"181","DOI":"10.4064\/aa-65-2-181-184","article-title":"Sums of distinct residues mod p","volume":"65","author":"\u00d8ystein","year":"1993","journal-title":"Acta Arith."},{"key":"10.1016\/S0012-365X(99)00027-8_BIB16","doi-asserted-by":"crossref","first-page":"367","DOI":"10.2140\/pjm.1968.26.367","article-title":"The addition of residue classes modulo n","volume":"26","author":"Ryavec","year":"1968","journal-title":"Pacific J. Math."}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X99000278?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X99000278?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,1,8]],"date-time":"2020-01-08T10:04:41Z","timestamp":1578477881000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0012365X99000278"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,5]]},"references-count":16,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1999,5]]}},"alternative-id":["S0012365X99000278"],"URL":"https:\/\/doi.org\/10.1016\/s0012-365x(99)00027-8","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1999,5]]}}}