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Rapid computation of L-functions attached to Maass forms.

Authors :
Booker, Andrew R.
Then, Holger
Source :
International Journal of Number Theory; Jun2018, Vol. 14 Issue 5, p1459-1485, 27p, 1 Illustration
Publication Year :
2018

Abstract

Let L be a degree-2L-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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17930421
Volume :
14
Issue :
5
Database :
Complementary Index
Journal :
International Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
129824222
Full Text :
https://doi.org/10.1142/S1793042118500896