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Rapid Computation of L-functions for Modular Forms
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2013 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, no 11, 2624-2656 p.Article in journal (Refereed) Published
Abstract [en]

Let f be a fixed (holomorphic or Maass) modular cusp form, with an L-function L(f,s). We describe an algorithm that computes the value L(f, 1/2 + iT) to any specified precision in time O(1+vertical bar T vertical bar(7/8)).

Place, publisher, year, edition, pages
2013. no 11, 2624-2656 p.
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URN: urn:nbn:se:kth:diva-124478DOI: 10.1093/imrn/rns112ISI: 000319475600007ScopusID: 2-s2.0-84871522456OAI: diva2:635793

QC 20130705

Available from: 2013-07-05 Created: 2013-07-05 Last updated: 2013-07-05Bibliographically approved

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Vishe, Pankaj
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