11-XX |
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Number theory |
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11Fxx |
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Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} |
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11F03 |
Modular and automorphic functions |
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11F06 |
Structure of modular groups and generalizations; arithmetic groups [See also 20H05, 20H10, 22E40] |
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11F11 |
Holomorphic modular forms of integral weight |
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11F12 |
Automorphic forms, one variable |
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11F20 |
Dedekind eta function, Dedekind sums |
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11F22 |
Relationship to Lie algebras and finite simple groups |
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11F23 |
Relations with algebraic geometry and topology |
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11F25 |
Hecke-Petersson operators, differential operators (one variable) |
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11F27 |
Theta series; Weil representation; theta correspondences |
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11F30 |
Fourier coefficients of automorphic forms |
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11F32 |
Modular correspondences, etc. |
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11F33 |
Congruences for modular and $p$-adic modular forms |
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11F37 |
Forms of half-integer weight; nonholomorphic modular forms |
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11F41 |
Automorphic forms on $\mbox{GL}(2)$; Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces [See also 14G35] |
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11F46 |
Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms |
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11F50 |
Jacobi forms |
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11F52 |
Modular forms associated to Drinfel'd modules |
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11F55 |
Other groups and their modular and automorphic forms (several variables) |
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11F60 |
Hecke-Petersson operators, differential operators (several variables) |
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11F66 |
Langlands $L$-functions; one variable Dirichlet series and functional equations |
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11F67 |
Special values of automorphic $L$-series, periods of automorphic forms, cohomology, modular symbols |
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11F68 |
Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series |
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11F70 |
Representation-theoretic methods; automorphic representations over local and global fields |
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11F72 |
Spectral theory; trace formulas (e.g., that of Selberg) |
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11F75 |
Cohomology of arithmetic groups |
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11F77 |
Automorphic forms and their relations with perfectoid spaces [See also 14G45] |
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11F80 |
Galois representations |
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11F85 |
$p$-adic theory, local fields [See also 14G20, 22E50] |
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11F99 |
None of the above, but in this section |