Browsing FAS Scholarly Articles by Keyword "automorphic forms"

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    • Nearly Ordinary Galois Deformations over Arbitrary Number Fields 

      Calegari, Frank; Mazur, Barry C. (Cambridge University Press, 2009)
      Let \(K\) be an arbitrary number field, and let \(\rho: Gal(K \bar/K) \rightarrow GL_2(E)\) be a nearly ordinary irreducible geometric Galois representation. In this paper, we study the nearly ordinary deformations of ...

    • On the Rapid Decay of Cuspidal Automorphic Forms 

      Miller, Stephen D.; Schmid, Wilfried (Elsevier BV, 2012)
      Many important analytic statements about automorphic forms, such as the analytic continuation of certain L-functions, rely on the well-known rapid decay of K-finite cusp forms on Siegel sets. We extend this here to prove ...