Modular eigenforms at the boundary of weight space
Andreatta, Iovita, and Pilloni recently introduced Fp((t))-Banach spaces of overconvergent t-adic modular forms, whose weight may be considered a “boundary” point of weight space. In an effort to make them concrete and accessible to explicit experimentation, we construct orthonormal bases, deduce t-...
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| Format: | Journal article |
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Springer Verlag
2018
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| _version_ | 1826301760381124608 |
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| author | Vonk, J |
| author_facet | Vonk, J |
| author_sort | Vonk, J |
| collection | OXFORD |
| description | Andreatta, Iovita, and Pilloni recently introduced Fp((t))-Banach spaces of overconvergent t-adic modular forms, whose weight may be considered a “boundary” point of weight space. In an effort to make them concrete and accessible to explicit experimentation, we construct orthonormal bases, deduce t-adic analogues of certain p-adic results in the literature, and exhibit explicit examples. |
| first_indexed | 2024-03-07T05:37:14Z |
| format | Journal article |
| id | oxford-uuid:e4554d43-3d34-4743-bd28-fef6a5ca6d56 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:37:14Z |
| publishDate | 2018 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:e4554d43-3d34-4743-bd28-fef6a5ca6d562022-03-27T10:15:44ZModular eigenforms at the boundary of weight spaceJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e4554d43-3d34-4743-bd28-fef6a5ca6d56Symplectic Elements at OxfordSpringer Verlag2018Vonk, JAndreatta, Iovita, and Pilloni recently introduced Fp((t))-Banach spaces of overconvergent t-adic modular forms, whose weight may be considered a “boundary” point of weight space. In an effort to make them concrete and accessible to explicit experimentation, we construct orthonormal bases, deduce t-adic analogues of certain p-adic results in the literature, and exhibit explicit examples. |
| spellingShingle | Vonk, J Modular eigenforms at the boundary of weight space |
| title | Modular eigenforms at the boundary of weight space |
| title_full | Modular eigenforms at the boundary of weight space |
| title_fullStr | Modular eigenforms at the boundary of weight space |
| title_full_unstemmed | Modular eigenforms at the boundary of weight space |
| title_short | Modular eigenforms at the boundary of weight space |
| title_sort | modular eigenforms at the boundary of weight space |
| work_keys_str_mv | AT vonkj modulareigenformsattheboundaryofweightspace |