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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