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- W2033188851 abstract "Abstract We generalise results of Buzzard, Taylor and Kassaei on analytic continuation of p -adic overconvergent eigenforms over ℚ to the case of p -adic overconvergent Hilbert eigenforms over totally real fields F , under the assumption that p splits completely in F . This includes weight-one forms and has applications to generalisations of Buzzard and Taylor’s main theorem. Next, we follow an idea of Kassaei’s to generalise Coleman’s well-known result that ‘an overconvergent U p -eigenform of small slope is classical’ to the case of p -adic overconvergent Hilbert eigenforms of Iwahori level." @default.
- W2033188851 created "2016-06-24" @default.
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- W2033188851 date "2010-02-02" @default.
- W2033188851 modified "2023-09-25" @default.
- W2033188851 title "Analytic continuation of overconvergent Hilbert eigenforms in the totally split case" @default.
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- W2033188851 doi "https://doi.org/10.1112/s0010437x09004552" @default.
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