Slopes of overconvergent 2-adic modular forms

نویسندگان

  • Kevin Buzzard
  • Frank Calegari
چکیده

We explicitly compute all the slopes of the Hecke operator U2 acting on overconvergent 2-adic level 1 cusp forms of weight 0: the nth slope is 1 + 2v((3n)!/n!), where v denotes the 2-adic valuation. We formulate an explicit conjecture about what these slopes should be for weight k forms.

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تاریخ انتشار 2005