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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| Summary: | 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. |
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