On sign changes of eigenvalues of Siegel cusp forms of genus 2 in prime powers
Volume 183 / 2018
Acta Arithmetica 183 (2018), 167-172
MSC: Primary 11F46.
DOI: 10.4064/aa170419-4-11
Published online: 23 March 2018
Abstract
We prove that under mild assumptions there are infinitely many sign changes in the sequence of eigenvalues of a genus $2$ Siegel cuspidal eigenform supported on $p^{jn}$ for a fixed $j \geq 1$.