{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T14:33:54Z","timestamp":1775054034596,"version":"3.50.1"},"reference-count":11,"publisher":"Pleiades Publishing Ltd","issue":"3","license":[{"start":{"date-parts":[[2007,5,1]],"date-time":"2007-05-01T00:00:00Z","timestamp":1177977600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2007,5,1]],"date-time":"2007-05-01T00:00:00Z","timestamp":1177977600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Program Comput Soft"],"published-print":{"date-parts":[[2007,5]]},"DOI":"10.1134\/s0361768807030024","type":"journal-article","created":{"date-parts":[[2007,6,5]],"date-time":"2007-06-05T01:34:25Z","timestamp":1181007265000},"page":"132-138","source":"Crossref","is-referenced-by-count":4,"title":["Improved universal denominators"],"prefix":"10.1134","volume":"33","author":[{"given":"S. A.","family":"Abramov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. P.","family":"Polyakov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"137","reference":[{"issue":"11","key":"3002_CR1","first-page":"1611","volume":"29","author":"S.A. Abramov","year":"1989","unstructured":"Abramov, S.A., Rational Solutions for Linear Differential and Difference Equations with Polynomial Coefficients, Zh. Vychisl. Mat. Mat. Fiz., 1989, vol. 29, no. 11, pp. 1611\u20131620 [Comput. Math. Math. Phys. (Engl. Transl.), 1989, vol. 29, no. 6, pp. 7\u201312].","journal-title":"Zh. Vychisl. Mat. Mat. Fiz."},{"key":"3002_CR2","doi-asserted-by":"crossref","unstructured":"Abramov, S.A. and Barkatou, M.A., Rational Solutions of First Order Linear Difference Systems, Proc. ISSAC\u201998, 1998, pp. 124\u2013131.","DOI":"10.1145\/281508.281593"},{"key":"3002_CR3","doi-asserted-by":"publisher","first-page":"547","DOI":"10.1006\/jsco.1999.0314","volume":"28","author":"M.A. Barkatou","year":"1999","unstructured":"Barkatou, M.A., On Rational Solutions of Systems of Linear Differential Equations, J. Symb. Comput., 1999, vol. 28, pp. 547\u2013567.","journal-title":"J. Symb. Comput."},{"key":"3002_CR4","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1080\/10236199908808199","volume":"5","author":"S.A. Abramov","year":"1999","unstructured":"Abramov, S.A., EG-Eliminations, J. Differ. Equ. Appl., 1999, vol. 5, pp. 393\u2013433.","journal-title":"J. Differ. Equ. Appl."},{"key":"3002_CR5","doi-asserted-by":"crossref","unstructured":"Abramov, S.A. and Bronstein, M., On Solutions of Linear Functional Systems, Proc. ISSAC\u20192001, 2001, pp. 1\u20136.","DOI":"10.1145\/384101.384102"},{"key":"3002_CR6","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/S0012-365X(01)00248-5","volume":"246","author":"S.A. Abramov","year":"2002","unstructured":"Abramov, S.A., A Direct Algorithm to Compute Rational Solutions of First-Order Linear q-Difference Systems, Discrete Math., 2002, vol. 246, pp. 3\u201312.","journal-title":"Discrete Math."},{"issue":"2","key":"3002_CR7","first-page":"70","volume":"26","author":"D.E. Khmel\u2019nov","year":"2000","unstructured":"Khmel\u2019nov, D.E., Improved Algorithms for Solving Difference and q-Difference Equations, Programmirovaniye, 2000, vol. 26, no. 2, pp. 70\u201378 [Program. Comp. Soft. (Engl. Transl.), 2000, vol. 26, no. 2, pp. 107\u2013115].","journal-title":"Programmirovaniye"},{"key":"3002_CR8","doi-asserted-by":"crossref","unstructured":"Van Hoeij, M., Rational Solutions of Linear Difference Equations, Proc. of ISSAC\u201998, 1998, pp. 120\u2013123.","DOI":"10.1145\/281508.281592"},{"key":"3002_CR9","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1016\/S0747-7171(08)80044-2","volume":"11","author":"D. Zeilberger","year":"1991","unstructured":"Zeilberger, D., The Method of Creative Telescoping, J. Symb. Comput., 1991, vol.11, pp. 195\u2013204.","journal-title":"J. Symb. Comput."},{"key":"3002_CR10","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1073\/pnas.75.1.40","volume":"75","author":"R.W. Gosper","year":"1978","unstructured":"Gosper, R.W., Decision Procedures of Indefinite Hypergeometric Summation, Proc. Natl. Acad. Sci. USA, 1978, vol. 75, pp. 40\u201342.","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"3002_CR11","unstructured":"Polyakov, S.P., On Homogeneous Zeilberger Recurrences, Adv. Appl. Math. (in press)."}],"container-title":["Programming and Computer Software"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0361768807030024.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0361768807030024","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1134\/S0361768807030024","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0361768807030024.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T02:03:46Z","timestamp":1775009026000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0361768807030024"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,5]]},"references-count":11,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2007,5]]}},"alternative-id":["3002"],"URL":"https:\/\/doi.org\/10.1134\/s0361768807030024","relation":{},"ISSN":["0361-7688","1608-3261"],"issn-type":[{"value":"0361-7688","type":"print"},{"value":"1608-3261","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,5]]}}}