Petridis, YN;
Raulf, N;
Risager, MS;
(2014)
Double Dirichlet series and quantum unique ergodicity of weight one-half Eisenstein series.
Algebra & Number Theory
, 8
(7)
pp. 1539-1595.
10.2140/ant.2014.8.1539.
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Abstract
The problem of quantum unique ergodicity (QUE) of weight 1/2 Eisenstein series for Γ0(4) leads to the study of certain double Dirichlet series involving GL2 automorphic forms and Dirichlet characters. We study the analytic properties of this family of double Dirichlet series (analytic continuation, convexity estimate) and prove that a subconvex estimate implies the QUE result.
| Type: | Article |
|---|---|
| Title: | Double Dirichlet series and quantum unique ergodicity of weight one-half Eisenstein series |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.2140/ant.2014.8.1539 |
| Publisher version: | http://dx.doi.org/10.2140/ant.2014.8.1539 |
| Language: | English |
| Keywords: | quantum limits, Eisenstein series, multiple Dirichlet series |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/1360962 |
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