Using the bisection as well as the Newton-Raphson method, we compute to high precision the Littlewood-Salem-Izumi constant frequently occurring in the theory of trigonometric sums.<\/p>","DOI":"10.1090\/s0025-5718-09-02222-4","type":"journal-article","created":{"date-parts":[[2009,6,30]],"date-time":"2009-06-30T14:39:02Z","timestamp":1246372742000},"page":"2187-2191","source":"Crossref","is-referenced-by-count":1,"title":["High precision computation of a constant in the theory of trigonometric series"],"prefix":"10.1090","volume":"78","author":[{"given":"J.","family":"de Reyna","sequence":"first","affiliation":[]},{"given":"J.","family":"van de Lune","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2009,2,9]]},"reference":[{"key":"1","doi-asserted-by":"publisher","first-page":"295","DOI":"10.2307\/1997054","article-title":"Some positive trigonometric sums","volume":"187","author":"Askey, Richard","year":"1974","journal-title":"Trans. Amer. 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