Rapid computation of L-functions attached to Maass forms-Reference-Cited by-同舟云学术

Rapid computation of L-functions attached to Maass forms

Published:2018-05-28 Issue:05 Volume:14 Page:1459-1485
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Booker Andrew R.¹,Then Holger¹²

Affiliation:

1. Department of Mathematics, University of Bristol, University Walk, Bristol, BS8 1TW, UK

2. Alemannenweg 1, 89537 Giengen, Germany

Abstract

Let [Formula: see text] be a degree-[Formula: see text] [Formula: see text]-function associated to a Maass cusp form. We explore an algorithm that evaluates [Formula: see text] values of [Formula: see text] on the critical line in time [Formula: see text]. We use this algorithm to rigorously compute an abundance of consecutive zeros and investigate their distribution.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042118500896

Reference18 articles.

1. Artin's Conjecture, Turing's Method, and the Riemann Hypothesis

2. Bounds and algorithms for the -Bessel function of imaginary order

3. On the error in reconstructing a non-bandlimited function by means of the bandpass sampling theorem

4. SIMPLE ZEROS OF MAASS L-FUNCTIONS

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