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Equidistribution of Hecke Eigenforms on the Arithmetic Surface Γ0(N)\H

By Yuk-Kam Lau

Abstract

AbstractGiven the orthonormal basis of Hecke eigenforms in S2k(Γ(1)), Luo established an associated probability measure dμk on the modular surface Γ(1)\H that tends weakly to the invariant measure on Γ(1)\H. We generalize his result to the arithmetic surface Γ0(N)\H where N⩾1 is square-fre

Publisher: Elsevier Science (USA).
Year: 2002
DOI identifier: 10.1006/jnth.2002.2792
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