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A fast algorithm to compute L(1/2, f x chi(q))
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2013 (English)In: Journal of Number Theory, ISSN 0022-314X, E-ISSN 1096-1658, Vol. 133, no 5, 1502-1524 p.Article in journal (Refereed) Published
Abstract [en]

Let f be a fixed (holomorphic or Maass) modular cusp form. Let χq be a Dirichlet character mod q. We describe a fast algorithm that computes the value L(1/2, f × χq) up to any specified precision. In the case when q is smooth or highly composite integer, the time complexity of the algorithm is given by O(1 + |q|5/6 +o(1)).

Place, publisher, year, edition, pages
2013. Vol. 133, no 5, 1502-1524 p.
Keyword [en]
Analytic number theory, Computations of L-functions, Hecke orbits
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URN: urn:nbn:se:kth:diva-117821DOI: 10.1016/j.jnt.2012.10.005ISI: 000314261300004ScopusID: 2-s2.0-84871509427OAI: diva2:603154

QC 20130205

Available from: 2013-02-05 Created: 2013-02-05 Last updated: 2013-03-08Bibliographically approved

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Vishe, Pankaj
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Mathematics (Dept.)
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