{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T07:52:05Z","timestamp":1776844325581,"version":"3.51.2"},"reference-count":35,"publisher":"American Mathematical Society (AMS)","issue":"288","license":[{"start":{"date-parts":[[2015,1,23]],"date-time":"2015-01-23T00:00:00Z","timestamp":1421971200000},"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>We consider some fundamental generalized Mordell\u2013Tornheim\u2013Witten (MTW) zeta-function values along with their derivatives, and explore connections with multiple-zeta values (MZVs). To achieve this, we make use of symbolic integration, high precision numerical integration, and some interesting combinatorics and special-function theory. Our original motivation was to represent unresolved constructs such as Eulerian log-gamma integrals. We are able to resolve all such integrals in terms of an MTW basis. We also present, for a substantial subset of MTW values, explicit closed-form expressions. In the process, we significantly extend methods for high-precision numerical computation of polylogarithms and their derivatives with respect to order.<\/p>","DOI":"10.1090\/s0025-5718-2014-02768-3","type":"journal-article","created":{"date-parts":[[2014,1,23]],"date-time":"2014-01-23T13:47:43Z","timestamp":1390484863000},"page":"1795-1821","source":"Crossref","is-referenced-by-count":12,"title":["Computation and theory of extended Mordell-Tornheim-Witten sums"],"prefix":"10.1090","volume":"83","author":[{"given":"David","family":"Bailey","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jonathan","family":"Borwein","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Richard","family":"Crandall","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2014,1,23]]},"reference":[{"key":"1","series-title":"Encyclopedia of Mathematics and its Applications","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781107325937","volume-title":"Special functions","volume":"71","author":"Andrews, George E.","year":"1999","ISBN":"https:\/\/id.crossref.org\/isbn\/0521623219"},{"issue":"169","key":"2","doi-asserted-by":"publisher","first-page":"223","DOI":"10.2307\/2007806","article-title":"Formulas for higher derivatives of the Riemann zeta function","volume":"44","author":"Apostol, Tom M.","year":"1985","journal-title":"Math. 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