Rapid computation of L-functions attached to Maass forms

Andrew R Booker*, Holger L Then

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)
132 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)1459-1485
Number of pages27
JournalInternational Journal of Number Theory
Volume14
Issue number5
Early online date19 Jan 2018
DOIs
Publication statusPublished - Jun 2018

Keywords

  • L-functions
  • automorphic forms

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