Mathematical Sciences Classification System

11Fxx - Discontinuous groups and automorphic forms
[See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx]
{For relations with quadratic forms, see 11E45}

  • 9
    11F03
    Modular and automorphic functions
  • 2
    11F06
    Structure of modular groups and generalizations; arithmetic groups [See also 20H05, 20H10, 22E40]
  • 8
    11F11
    Holomorphic modular forms of integral weight
  • 1
    11F12
    Automorphic forms, one variable
  • 2
    11F20
    Dedekind eta function, Dedekind sums
  • 3
    11F22
    Relationship to Lie algebras and finite simple groups
  • 1
    11F23
    Relations with algebraic geometry and topology
  • 1
    11F25
    Hecke-Petersson operators, differential operators (one variable)
  • 9
    11F27
    Theta series; Weil representation; theta correspondences
  • 2
    11F30
    Fourier coefficients of automorphic forms
  • 2
    11F32
    Modular correspondences, etc.
  • 1
    11F33
    Congruences for modular and $p$-adic modular forms [See also 14G20, 22E50]
  • 5
    11F37
    Forms of half-integer weight; nonholomorphic modular forms
  • 3
    11F41
    Automorphic forms on ${\rm GL}(2)$; Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces [See also 14J20]
  • 3
    11F46
    Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
  • 2
    11F50
    Jacobi forms
  • 11F52
    Modular forms associated to Drinfel'd modules
  • 1
    11F55
    Other groups and their modular and automorphic forms (several variables)
  • 11F60
    Hecke-Petersson operators, differential operators (several variables)
  • 3
    11F66
    Langlands $L$-functions; one variable Dirichlet series and functional equations
  • 3
    11F67
    Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols
  • 11F68
    Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series
  • 25
    11F70
    Representation-theoretic methods; automorphic representations over local and global fields
  • 11
    11F72
    Spectral theory; Selberg trace formula
  • 1
    11F75
    Cohomology of arithmetic groups
  • 3
    11F80
    Galois representations
  • 5
    11F85
    $p$-adic theory, local fields [See also 14G20, 22E50]
  • 11F99
    None of the above, but in this section

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