{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T22:47:25Z","timestamp":1776725245780,"version":"3.51.2"},"reference-count":9,"publisher":"American Mathematical Society (AMS)","issue":"234","license":[{"start":{"date-parts":[[2001,3,1]],"date-time":"2001-03-01T00:00:00Z","timestamp":983404800000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    In this paper closed-form sums are given for various slowly-convergent infinite series which arise essentially from the differentiation of Dirichlet\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper L\">\n                        <mml:semantics>\n                          <mml:mi>L<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">L<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    -series. Some associated integrations are also considered. A small number of the results appear in standard tables, but most seem to be new.\n                  <\/p>","DOI":"10.1090\/s0025-5718-00-01211-4","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T18:17:46Z","timestamp":1027707466000},"page":"789-799","source":"Crossref","is-referenced-by-count":2,"title":["A class of infinite sums and integrals"],"prefix":"10.1090","volume":"70","author":[{"given":"R.","family":"Shail","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2000,3,1]]},"reference":[{"issue":"7","key":"1","doi-asserted-by":"crossref","first-page":"1519","DOI":"10.1088\/0305-4470\/21\/7\/015","article-title":"Energy of static electron lattices","volume":"21","author":"Borwein, D.","year":"1988","journal-title":"J. Phys. 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T.","year":"1962"},{"key":"9","series-title":"A Wiley-Interscience Publication","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1002\/9781118032572","volume-title":"Special functions","author":"Temme, Nico M.","year":"1996","ISBN":"https:\/\/id.crossref.org\/isbn\/0471113131"}],"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/mcom\/2001-70-234\/S0025-5718-00-01211-4\/S0025-5718-00-01211-4.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/mcom\/2001-70-234\/S0025-5718-00-01211-4\/S0025-5718-00-01211-4.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T22:35:28Z","timestamp":1776724528000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/2001-70-234\/S0025-5718-00-01211-4\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,3,1]]},"references-count":9,"journal-issue":{"issue":"234","published-print":{"date-parts":[[2001,4]]}},"alternative-id":["S0025-5718-00-01211-4"],"URL":"https:\/\/doi.org\/10.1090\/s0025-5718-00-01211-4","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["1088-6842","0025-5718"],"issn-type":[{"value":"1088-6842","type":"electronic"},{"value":"0025-5718","type":"print"}],"subject":[],"published":{"date-parts":[[2000,3,1]]}}}