Mass equidistribution of Hilbert modular eigenforms |
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Authors: | Paul D Nelson |
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Institution: | 1. Pasadena, CA, USA
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Abstract: | Let
\mathbbF\mathbb{F} be a totally real number field, and let f traverse a sequence of non-dihedral holomorphic eigencuspforms on
\operatornameGL2/\mathbbF\operatorname{GL}_{2}/\mathbb{F} of weight
(k1,?,k\mathbbF:\mathbbQ])(k_{1},\ldots,k_{\mathbb{F}:\mathbb{Q}]}), trivial central character and full level. We show that the mass of f equidistributes on the Hilbert modular variety as
max(k1,?,k\mathbbF:\mathbbQ]) ? ¥\max(k_{1},\ldots,k_{\mathbb{F}:\mathbb{Q}]}) \rightarrow \infty. |
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Keywords: | |
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