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Rapid computation of L-functions attached to Maass forms

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)1459-1485
Number of pages27
JournalInternational Journal of Number Theory
Volume14
Issue number5
Early online date19 Jan 2018
DOIs
DateSubmitted - 26 Mar 2017
DateAccepted/In press - 21 Sep 2017
DateE-pub ahead of print - 19 Jan 2018
DatePublished (current) - Jun 2018

Abstract

Let L be a degree-2 L-function associated to a Maass cusp form.We explore an algorithm that evaluates t values of L on the critical line in time O(t1+ε). We use this algorithm to rigorously compute an abundance of consecutive zeros and investigate their distribution.

    Research areas

  • L-functions, automorphic forms

Documents

Documents

  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via World Scientific at http://www.worldscientific.com/doi/abs/10.1142/S1793042118500896 . Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 390 KB, PDF-document

DOI

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