Double Dirichlet series and quantum unique ergodicity of weight one-half Eisenstein series

TY - JOUR

T1 - Double Dirichlet series and quantum unique ergodicity of weight one-half Eisenstein series

AU - Petridis, Yiannis

AU - Raulf, Nicole

AU - Risager, Morten S.

PY - 2014/10/21

Y1 - 2014/10/21

N2 - The problem of quantum unique ergodicity (QUE) of weight1/2 Eisenstein series for T0 (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.

AB - The problem of quantum unique ergodicity (QUE) of weight1/2 Eisenstein series for T0 (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.

U2 - 10.2140/ant.2014.8.1539

DO - 10.2140/ant.2014.8.1539

M3 - Journal article

SN - 1937-0652

VL - 8

SP - 1539

EP - 1595

JO - Algebra and Number Theory

JF - Algebra and Number Theory

IS - 7

ER -