2017/03/26 by Andrew R. Booker, Holger Then
Mathematics · #Advanced Mathematical Identities #Algebra over a field #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Computation #Critical line #Cusp (singularity) #Line (geometry) #Real line #math.NT
paper · pdf · doi:10.1142/s1793042118500896
published as Int. J. Number Theory 14 (2018) 1459--1485
arxiv created 2017/03/26 · openalex created_date 2017/04/07 · openalex publication_date 2017/12/04 · arxiv updated 2018/06/05 · openalex updated_date 2026/08/05
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.