{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,29]],"date-time":"2024-05-29T11:49:11Z","timestamp":1716983351261},"reference-count":0,"publisher":"National Library of Serbia","issue":"14","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/publicdomain\/zero\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Filomat"],"published-print":{"date-parts":[[2021]]},"abstract":"<jats:p>Euclid?s algorithm is extended to binomials, geometric sums and corner sums.\n   Two-sided non-commuting, non-constant linear difference equations will be\n   solved, and the solution is applied to corner sums, thereby presenting an\n   explicit formula for the generator of the bi-module spanned by the two\n   starting corner sums.<\/jats:p>","DOI":"10.2298\/fil2114613p","type":"journal-article","created":{"date-parts":[[2022,2,4]],"date-time":"2022-02-04T13:27:10Z","timestamp":1643981230000},"page":"4613-4636","source":"Crossref","is-referenced-by-count":2,"title":["From Euclid to corner sums - a trail of telescoping tricks"],"prefix":"10.2298","volume":"35","author":[{"given":"Pedro","family":"Patr\u00edcio","sequence":"first","affiliation":[{"name":"CMAT - Centro de Matem\u00e1tica and Departamento de Matem\u00e1tica, Universidade do Minho, Braga, Portugal"}]},{"suffix":"E.","given":"Robert","family":"Hartwig","sequence":"additional","affiliation":[{"name":"Mathematics Department, North Carolina State University, Raleigh, NC, U.S.A."}]}],"member":"1078","container-title":["Filomat"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,5,29]],"date-time":"2023-05-29T08:17:53Z","timestamp":1685348273000},"score":1,"resource":{"primary":{"URL":"https:\/\/doiserbia.nb.rs\/Article.aspx?ID=0354-51802114613P"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":0,"journal-issue":{"issue":"14","published-print":{"date-parts":[[2021]]}},"URL":"https:\/\/doi.org\/10.2298\/fil2114613p","relation":{},"ISSN":["0354-5180","2406-0933"],"issn-type":[{"value":"0354-5180","type":"print"},{"value":"2406-0933","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]}}}