On level one cuspidal Bianchi modular forms

DOI10.1112/S1461157013000053zbMath1294.11062arXiv1104.5303OpenAlexW3098281606MaRDI QIDQ5169599

Alexander D. Rahm, Mehmet Haluk Şengün

Publication date: 11 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.5303

zbMATH Keywords

liftelliptic modular formcuspidal Bianchi modular form

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Cohomology of arithmetic groups (11F75)

Related Items (11)

Mod p Base Change transfer for GL(2) ⋮ On the convergence of arithmetic orbifolds ⋮ Theta lifts of Bianchi modular forms and applications to paramodularity ⋮ Universal Fourier expansions of Bianchi modular forms ⋮ Genuine Bianchi modular forms of higher level at varying weight and discriminant ⋮ Bianchi's additional symmetries ⋮ Higher torsion in the Abelianization of the full Bianchi groups ⋮ Torsion homology growth and cycle complexity of arithmetic manifolds ⋮ A finiteness result for \(p\)-adic families of Bianchi modular forms ⋮ Overconvergent cohomology, \(p\)-adic \(L\)-functions and families for \(\mathrm{GL}(2)\) over CM fields ⋮ Arithmetic Aspects of Bianchi Groups

Cites Work

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• Zur Struktur der \(\mathrm{PSL}_2 \) über einigen imaginär-quadratischen Zahlringen
• Computing rational cohomology and Hecke eigenvalues for Bianchi groups
• Discriminant of Hecke fields and twisted adjoint \(L\)-values for \(GL(2)\)
• Generators and relations for certain special linear groups
• Le problème des groupes de congruence pour \(SL_2\)
• EVERYWHERE UNRAMIFIED AUTOMORPHIC COHOMOLOGY FOR SL₃(ℤ)
• The Cohomology of Lattices in SL(2, ℂ)
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• On the Integral Cohomology of Bianchi Groups
• Nearly ordinary Galois deformations over arbitrary number fields
• Finding All Elliptic Curves with Good Reduction Outside a Given Set of Primes

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