4.4 Article

Slopes of Modular Forms and the Ghost Conjecture

Journal

INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Volume 2019, Issue 4, Pages 1125-1144

Publisher

OXFORD UNIV PRESS
DOI: 10.1093/imrn/rnx141

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Funding

  1. NSF [DMS-1402005]
  2. Simons Fellowship, NSF [DMS-1303302]

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We formulate a conjecture on slopes of overconvergent p-adic cusp forms of any p-adic weight in the 0(N)-regular case. This conjecture unifies a conjecture of Buzzard on classical slopes and more recent conjectures on slopes at the boundary of weight space.

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