{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,27]],"date-time":"2024-06-27T15:40:02Z","timestamp":1719502802193},"reference-count":0,"publisher":"Wiley","issue":"67","license":[{"start":{"date-parts":[[2004,12,14]],"date-time":"2004-12-14T00:00:00Z","timestamp":1102982400000},"content-version":"vor","delay-in-days":348,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>It is well known that the Riemann Zeta function  can be represented in closed form for <jats:italic>p<\/jats:italic> an even integer. We will define a shifted quadratic Zeta series as . In this paper, we will determine closed\u2010form representations of shifted quadratic Zeta series from a recursion point of view using the Riemann Zeta function. We will also\ndetermine closed\u2010form representations of alternating sign shifted quadratic Zeta series.<\/jats:p>","DOI":"10.1155\/s0161171204402026","type":"journal-article","created":{"date-parts":[[2004,12,15]],"date-time":"2004-12-15T18:23:42Z","timestamp":1103135022000},"page":"3631-3652","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Shifted quadratic Zeta series"],"prefix":"10.1155","volume":"2004","author":[{"given":"Anthony","family":"Sofo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2004,12,14]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/756202.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204402026","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,27]],"date-time":"2024-06-27T15:18:57Z","timestamp":1719501537000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204402026"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"67","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204402026"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204402026","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2004-02-03","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-12-14","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}