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• W3100621298 abstract "We define oldforms and newforms for Drinfeld cusp forms of level $t$ and conjecture that their direct sum is the whole space of cusp forms. Moreover we describe explicitly the matrix $U$ associated to the action of the Atkin operator $mathbf{U}_t$ on cusp forms of level $t$ and use it to compute tables of slopes of eigenforms. Building on such data, we formulate conjectures on bounds for slopes, on the diagonalizability of $mathbf{U}_t$ and on various other issues. Via the explicit form of the matrix $U$ we are then able to verify our conjectures in various cases (mainly in small weights)." @default.
• W3100621298 created "2020-11-23" @default.
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• W3100621298 date "2019-11-25" @default.
• W3100621298 modified "2023-09-25" @default.
• W3100621298 title "On the Structure and Slopes of Drinfeld Cusp Forms" @default.
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• W3100621298 doi "https://doi.org/10.1080/10586458.2019.1671921" @default.
• W3100621298 hasPublicationYear "2019" @default.
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