Notes
Slide Show
Outline
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Regularity of
Automorphic Distributions
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CRM Workshop
May 3, 2004

Stephen Miller (Rutgers University)
Wilfried Schmid (Harvard University)
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The original example:
  • Riemann/Weierstrass “Non-differentiable Function”



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Graph of Riemann’s Function
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What does this have to do with automorphic forms?
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Automorphic Distributions of holomorphic modular forms

  • In general start with a q-expansion
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Regularity of Automorphic Distributions

  • For holomorphic cusp forms of weight one (and Maass forms…),  t  is the first anti-derivative of a continuous function
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Cruder View
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Maass Form Antiderivative
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Zoom near origin
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Weight one antiderivative