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11Fxx

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Discontinuous groups and automorphic forms

[See also 11R39, 11S37, 14-xx, 14Gxx, 14Kxx, 22Exx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45}
  • 11F03 Modular and automorphic functions
  • 11F06 Structure of modular groups and generalizations; arithmetic groups [See also 20H05, 20H10, 22E40]
  • 11F11 Modular forms, one variable
  • 11F12 Automorphic forms, one variable
  • 11F20 Dedekind eta function, Dedekind sums
  • 11F22 Relationship to Lie algebras and finite simple groups
  • 11F23 Relations with algebraic geometry and topology
  • 11F25 Hecke-Petersson operators, differential operators (one variable)
  • 11F27 Theta series; Weil representation
  • 11F30 Fourier coefficients of automorphic forms
  • 11F32 Modular correspondences, etc.
  • 11F33 Congruences for modular and $p$-adic modular forms [See also 14G20, 22E50]
  • 11F37 Forms of half-integer weight; nonholomorphic modular forms
  • 11F41 Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces [See also 14J20]
  • 11F46 Siegel modular groups and their modular and automorphic forms
  • 11F50 Jacobi forms
  • 11F52 Modular forms associated to Drinfel'd modules
  • 11F55 Other groups and their modular and automorphic forms (several variables)
  • 11F60 Hecke-Petersson operators, differential operators (several variables)
  • 11F66 Dirichlet series and functional equations in connection with modular forms
  • 11F67 Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols
  • 11F70 Representation-theoretic methods; automorphic representations over local and global fields
  • 11F72 Spectral theory; Selberg trace formula
  • 11F75 Cohomology of arithmetic groups
  • 11F80 Galois representations
  • 11F85 $p$-adic theory, local fields [See also 14G20, 22E50]
  • 11F99 None of the above, but in this section