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

✍ Scribed by Yuk-Kam Lau

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
158 KB
Volume
96
Category
Article
ISSN
0022-314X

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✦ Synopsis

Given the orthonormal basis of Hecke eigenforms in S 2k ðGð1ÞÞ; Luo established an associated probability measure dm k on the modular surface Gð1Þ=H that tends weakly to the invariant measure on Gð1Þ=H: We generalize his result to the arithmetic surface G 0 ðNÞ=H where N51 is square-free.

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