{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T10:18:28Z","timestamp":1648721908485},"reference-count":20,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[1999,6,1]],"date-time":"1999-06-01T00:00:00Z","timestamp":928195200000},"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":5160,"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":[[1999,6]]},"DOI":"10.1016\/s0012-365x(98)00368-9","type":"journal-article","created":{"date-parts":[[2003,4,23]],"date-time":"2003-04-23T20:16:34Z","timestamp":1051128994000},"page":"129-153","source":"Crossref","is-referenced-by-count":8,"title":["Binomial convolutions and determinant identities"],"prefix":"10.1016","volume":"204","author":[{"given":"Wenchang","family":"Chu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0012-365X(98)00368-9_BIB1","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/BF01389763","article-title":"Plane partitions III: The weak Macdonald conjecture","volume":"53","author":"Andrews","year":"1979","journal-title":"Invent. Math."},{"key":"10.1016\/S0012-365X(98)00368-9_BIB2","doi-asserted-by":"crossref","unstructured":"G.E. Andrews, Pfaff's method I: The Mills-Robbins-Rumsey determinant, Discrete Math., to appear.","DOI":"10.1016\/S0012-365X(98)00133-2"},{"key":"10.1016\/S0012-365X(98)00368-9_BIB3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2140\/pjm.1993.158.1","article-title":"Determinant identities","volume":"158","author":"Andrews","year":"1993","journal-title":"Pacific J. Math."},{"key":"10.1016\/S0012-365X(98)00368-9_BIB4","article-title":"Generalized Hypergeometric Series","volume":"vol. 32","author":"Bailey","year":"1935"},{"key":"10.1016\/S0012-365X(98)00368-9_BIB5","first-page":"31","article-title":"Inversion Techniques and Combinatorial Identities: A quick introduction to hypergeometric evaluations","volume":"283","author":"Chu","year":"1994","journal-title":"Math. Appl."},{"key":"10.1016\/S0012-365X(98)00368-9_BIB6","first-page":"333","article-title":"Binomial convolutions and hypergeometric identities","author":"Chu","year":"1994","journal-title":"Rend. Circolo Mat. Palermo [serie II]: XLIII"},{"key":"10.1016\/S0012-365X(98)00368-9_BIB7","doi-asserted-by":"crossref","first-page":"84","DOI":"10.2307\/2306429","article-title":"Some generalizations of Vandermonde's convolution","volume":"63","author":"Gould","year":"1956","journal-title":"Amer. Math. Month."},{"key":"10.1016\/S0012-365X(98)00368-9_BIB8","first-page":"119","article-title":"New inverse series relations for finite and infinite series with applications","volume":"4","author":"Gould","year":"1984","journal-title":"J. Math. Res. Expos."},{"key":"10.1016\/S0012-365X(98)00368-9_BIB9","doi-asserted-by":"crossref","first-page":"885","DOI":"10.1215\/S0012-7094-73-04082-9","article-title":"Some new inverse series relations","volume":"40","author":"Gould","year":"1973","journal-title":"Duke Math. J."},{"key":"10.1016\/S0012-365X(98)00368-9_BIB10","first-page":"368","article-title":"Further Determinants with the averaging property of Andrews-Burge","volume":"73","author":"Goulden","year":"1996","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0012-365X(98)00368-9_BIB11","series-title":"Concrete Mathematics","author":"Graham","year":"1989"},{"key":"10.1016\/S0012-365X(98)00368-9_BIB12","first-page":"121","article-title":"A determinant evaluation and some enumeration results for plane partitions","volume":"1452","author":"Krattenthaler","year":"1990"},{"key":"10.1016\/S0012-365X(98)00368-9_BIB13","unstructured":"C. Krattenthaler, An alternative evaluation of the Andrews-Burge determinant, to appear in the \u2018Rotafestschrift\u2019."},{"issue":"1","key":"10.1016\/S0012-365X(98)00368-9_BIB14","doi-asserted-by":"crossref","first-page":"27","DOI":"10.37236\/1312","article-title":"Determinant identities and a generalization of the number of totally symmetric self-complementary plane partitions","volume":"4","author":"Krattenthaler","year":"1997","journal-title":"Elect. J. Combin."},{"key":"10.1016\/S0012-365X(98)00368-9_BIB15","series-title":"Symmetric Functions and Hall Polynomials","author":"Macdonald","year":"1979"},{"key":"10.1016\/S0012-365X(98)00368-9_BIB16","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0012-365X(87)90165-8","article-title":"Enumeration of a symmetry class of plane partitions","volume":"67","author":"Mills","year":"1987","journal-title":"Discrete Math."},{"key":"10.1016\/S0012-365X(98)00368-9_BIB17","series-title":"Combinatorial Identities","author":"Riordan","year":"1968"},{"key":"10.1016\/S0012-365X(98)00368-9_BIB18","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/0097-3165(86)90028-2","article-title":"Symmetries of plane partitions","volume":"43","author":"Stanley","year":"1986","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/S0012-365X(98)00368-9_BIB19","series-title":"Generatingfuntionology","author":"Wilf","year":"1994"},{"key":"10.1016\/S0012-365X(98)00368-9_BIB20","first-page":"19","article-title":"A high-tech proof of the Mills-Robbins-Rumsey determinant formula","volume":"3:2","author":"Petkov\u015dek","year":"1996"}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X98003689?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X98003689?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,5,9]],"date-time":"2021-05-09T06:43:41Z","timestamp":1620542621000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0012365X98003689"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,6]]},"references-count":20,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1999,6]]}},"alternative-id":["S0012365X98003689"],"URL":"https:\/\/doi.org\/10.1016\/s0012-365x(98)00368-9","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1999,6]]}}}