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math.NTApr 1, 2011
16
citations (OpenAlex)
authors
  • Alexander D. Rahm
  • Mehmet Haluk Sengun
institutions
  • National University of Ireland
  • Ollscoil na Gaillimhe – University of Galway
  • University of Warwick
arXiv abstractPDF
paper

On Level One Cuspidal Bianchi Modular Forms

arXiv:1104.5303 · doi:10.1112/S1461157013000053

Abstract

In this paper, we present the outcome of vast computer calculations, locating several of the very rare instances of level one cuspidal Bianchi modular forms that are not lifts of elliptic modular forms.

final version

References in corpus (4)

  • The integral homology of PSL2​ of imaginary quadratic integers with non-trivial class group
  • Homology and K-theory of the Bianchi groups
  • Denominators of Eisenstein cohomology classes for GL_2 over imaginary quadratic fields
  • Higher torsion in the Abelianization of the full Bianchi groups

Cited by in corpus (6)

  • On the convergence of arithmetic orbifolds
  • Torsion homology growth and cycle complexity of arithmetic manifolds
  • Theta Lifts of Bianchi Modular Forms and Applications to Paramodularity
  • Higher torsion in the Abelianization of the full Bianchi groups
  • Universal Fourier expansions of Bianchi modular forms
  • Bianchi period polynomials: Hecke action and congruences
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