تقرير
Fourier coefficients of the overconvergent generalized eigenform associated to a CM form
| العنوان: | Fourier coefficients of the overconvergent generalized eigenform associated to a CM form |
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| المؤلفون: | Hsu, Chi-Yun |
| المصدر: | Int. J. Number Theory 16 (2020), no. 6, 1185-1197 |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory |
| الوصف: | Let f be a modular form with complex multiplication. If f has critical slope, then Coleman's classicality theorem implies that there is a p-adic overconvergent generalized Hecke eigenform with the same Hecke eigenvalues as f. We give a formula for the Fourier coefficiets of this generalized Hecke eigenform. We also investigate the dimension of the generalized Hecke eigenspace of p-adic overconvergent forms containing f. Comment: 11 pages. Accepted by Int. J. Number Theory |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1142/S1793042120500608 |
| URL الوصول: | http://arxiv.org/abs/2002.00324 |
| رقم الأكسشن: | edsarx.2002.00324 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1142/S1793042120500608 |
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