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Maass Forms and Galois Representations

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Galois Groups over ℚ

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 16))

Abstract

Let h be the Poincaré upper half-plane {z = x + iy ∈ ℂ|y > 0} endowed with the hyperbolic Laplacian Δ = —y2(∂2/∂x2 + ∂2/∂y2), and, for an integer N ≥ 1, let Г0(N) ⊂ SL2(ℤ) be the subgroup of matrices whose lower left entry is divisible by N. Let λ ∈ ℂ, and let ω: (ℤ /N ℤ)* → ℂ* be a Dirichlet character.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Baruch College, New York, NY, 10010, USA

    Don Blasius & Dinakar Ramakrishnan

  2. Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, succursale A, Montréal, Québec, H3C 3J7, Canada

    Don Blasius & Dinakar Ramakrishnan

Authors
  1. Don Blasius
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  2. Dinakar Ramakrishnan
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Editor information

Editors and Affiliations

  1. Faculty of Science, Department of Mathematics, Hongo, Tokyo 113, Japan

    Y. Ihara

  2. Department of Mathematics, University of California at Berkeley, 94720, Berkeley, CA, USA

    K. Ribet

  3. College de France, 3 Rue de Ulm, 75005, Paris, France

    J.-P. Serre

  4. Mathematical Sciences Research Institute, 1000 Centennial Drive, 94720, Berkeley, CA, USA

    K. Ribet

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© 1989 Springer-Verlag New York Inc.

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Blasius, D., Ramakrishnan, D. (1989). Maass Forms and Galois Representations. In: Ihara, Y., Ribet, K., Serre, JP. (eds) Galois Groups over ℚ. Mathematical Sciences Research Institute Publications, vol 16. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9649-9_2

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  • DOI: https://doi.org/10.1007/978-1-4613-9649-9_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9651-2

  • Online ISBN: 978-1-4613-9649-9

  • eBook Packages: Springer Book Archive

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