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On the coincidence of hecke-eigenforms

โœ Scribed by Hidenori Katsurada


Publisher
Vandenhoeck & Ruprecht
Year
2000
Tongue
German
Weight
261 KB
Volume
70
Category
Article
ISSN
0025-5858

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๐Ÿ“œ SIMILAR VOLUMES


A note on Hecke eigenforms
โœ K. Chakraborty; B. Ramakrishnan ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Springer ๐ŸŒ English โš– 449 KB
Products of Hecke eigenforms
โœ Brad A. Emmons ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 158 KB

Let f (z) and g(z) be Hecke eigenforms for 0 (p), where p is a prime. If both f (z) and g(z) are non-cuspidal forms and p 7, then the product is a Hecke eigenform only if it comes trivially from a level 1 solution. If g(z) is a cuspform and p 5, then in addition to the level 1 solutions, there are 8

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โœ Stefan Breulmann; Winfried Kohnen ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Vandenhoeck & Ruprecht ๐ŸŒ German โš– 183 KB
Equidistribution of Hecke eigenforms on
โœ Sheng-Chi Liu ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 132 KB

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