Gerhardt Hinkle

activity

20152023

collaborators

3 papers

math.NT2023

The shifted convolution L-function for Maass forms

Dorian Goldfeld, Gerhardt Hinkle, Jeffrey Hoffstein

Let $Φ_{1}, Φ_{2}$ be Maass forms for $SL (2, Z)$ with Fourier coefficients $C_{1} (n), C_{2} (n)$ . For a positive integer $h$ the meromorphic continuation and growth in $s\in\mat…

math.NT2022

The cubic Pell equation L-function

Dorian Goldfeld, Gerhardt Hinkle

For $d > 1$ a cubefree rational integer, we define an $L$ -function (denoted $L_{d} (s)$ ) whose coefficients are derived from the cubic theta function for $\mathbb Q\left(\sqrt{-3}\rig…

math-ph2015

Quantum Intermittency for Sparse CMV Matrices with an Application to Quantum Walks on the Half-Line

David Damanik, Jon Erickson, Jake Fillman +2

We study the dynamics given by the iteration of a (half-line) CMV matrix with sparse, high barriers. Using an approach of Tcheremchantsev, we are able to explicitly compute the tra…