Equidistribution of Hecke eigenforms on the arithmetic surface Γ0(N)|H

[摘要] Given the orthonormal basis of Hecke eigenforms in S-2k(Gamma(1)), Luo established an associated probability measure dmu(k) on the modular surface F(1)\H that tends weakly to the invariant measure on Gamma(1)\H. We generalize his result to the arithmetic surface Gamma(0) (N)\H where N greater than or equal to 1 is square-free. (C) 2002 Elsevier Science (USA).

[发布日期] 2002-10-01