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Arithmetic and Equidistribution of Measures on the Sphere

✍ Scribed by Siegfried Böcherer; Peter Sarnak; Rainer Schulze-Pillot


Publisher
Springer
Year
2003
Tongue
English
Weight
203 KB
Volume
242
Category
Article
ISSN
0010-3616

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Equidistribution of Hecke Eigenforms on
✍ Yuk-Kam Lau 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 158 KB

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.