11Fxx

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

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• 11F03 Modular and automorphic functions
• 11F06 Structure of modular groups and generalizations; arithmetic groups [See also 20H05, 20H10, 22E40]
• 11F11 Modular forms, one variableHolomorphic modular forms of integral weight
• 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; theta correspondences
• 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 Automorphic forms on ${\rm GL}(2)$; Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces [See also 14J20]
• 11F46 Siegel modular groupsand their modular; Siegel and Hilbert-Siegel 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 Langlands $L$-functions; one variable Dirichlet series and functional equationsin connection with modular forms
• 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
• 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