Sign Changes of the Eisenstein Series on the Critical Line Academic Article uri icon

abstract

  • © 2017 The Author(s). Weprove a quantitative lower bound on the number of nodal domains of the real-analytic Eisenstein series on the modular surface. The main tool in the proof is a quantitative restricted quantum unique ergodicity theorem where the support of the test function is allowed to shrink with the Laplace eigenvalue.

author list (cited authors)

  • Jung, J., & Young, M. P.

publication date

  • January 1, 2017 11:11 AM