Quantum Unique Ergodicity for Eisenstein Series on the Hilbert Modular Group over a Totally Real Field

@inproceedings{Truelsen2008QuantumUE,
  title={Quantum Unique Ergodicity for Eisenstein Series on the Hilbert Modular Group over a Totally Real Field},
  author={Jimi Lee Truelsen},
  year={2008}
}
  • Jimi Lee Truelsen
  • Published 2008
W. Luo and P. Sarnak have proved the quantum unique ergodicity property for Eisenstein series on PSL(2,Z)\H. Their result is quantitative in the sense that they find the precise asymptotics of the measure considered. We extend their result to Eisenstein series on PSL(2,O)\H, where O is the ring of integers in a totally real field of degree n over Q with narrow class number one, using the Eisenstein series considered by I. Efrat. We also give an expository treatment of the theory of Hecke… CONTINUE READING