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On Hecke algebras for Hilbert modular forms

✍ Scribed by Hiraoka, Yoshio; Okada, Kaoru

Book ID: 122613280
Publisher: Elsevier Science
Year: 2014
Tongue: English
Weight: 468 KB
Volume: 134
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2013.07.005

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Let F be a totally real number field with ring of integers O, and let Γ = SL(2, O) be the Hilbert modular group. Given the orthonormal basis of Hecke eigenforms in S 2k (Γ ), one can associate a probability measure dμ k on the Hilbert modular variety Γ \H n . We prove that dμ k tends to the invarian