50 citations · 176 across the 26 of their papers we have counts for
6 papers · 1 filter
A note on Maass forms of icosahedral type
Andrew R. Booker
Using ideas of Ramakrishnan, we consider the icosahedral analogue of the theorems of Sarnak and Brumley on Hecke-Maass newforms with Fourier coefficients in a quadratic order. Alth…
Turing's method for the Selberg zeta-function
Andrew R. Booker, David J. Platt
In one of his final research papers, Alan Turing introduced a method to certify the completeness of a purported list of zeros of the Riemann zeta-function. In this paper we conside…
Subconvexity for modular form L-functions in the t aspect
Andrew R. Booker, Micah B. Milinovich, Nathan Ng
Modifying a method of Jutila, we prove a t aspect subconvexity estimate for L-functions associated to primitive holomorphic cusp forms of arbitrary level that is of comparable stre…
A conjectural extension of Hecke's converse theorem
Sandro Bettin, Jonathan W. Bober, Andrew R. Booker +6
We formulate a precise conjecture that, if true, extends the converse theorem of Hecke without requiring hypotheses on twists by Dirichlet characters or an Euler product. The main…
Rapid computation of -functions attached to Maass forms
Andrew R. Booker, Holger Then
Let be a degree- -function associated to a Maass cusp form. We explore an algorithm that evaluates values of on the critical line in time .…
A converse theorem without root numbers
Andrew R. Booker
We answer a challenge posed in (Math. Ann. 363 (2015), no. 1-2, 423-454) by proving a version of Weil's converse theorem that assumes a functional equation for character twists but…