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MSC2020 · 11Fxx

Discontinuous groups and automorphic forms

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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Subcategories

11F03Modular and automorphic functions011F06Structure of modular groups and generalizations; arithmetic groups011F11Holomorphic modular forms of integral weight011F12Automorphic forms, one variable011F20Dedekind eta function, Dedekind sums011F22Relationship to Lie algebras and finite simple groups011F23Relations with algebraic geometry and topology011F25Hecke-Petersson operators, differential operators (one variable)011F27Theta series; Weil representation; theta correspondences011F30Fourier coefficients of automorphic forms011F32Modular correspondences, etc.011F33Congruences for modular and pp-adic modular forms011F37Forms of half-integer weight; nonholomorphic modular forms011F41Automorphic forms on \mboxGL(2)\mbox{GL}(2); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces011F46Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms011F50Jacobi forms011F52Modular forms associated to Drinfel'd modules011F55Other groups and their modular and automorphic forms (several variables)011F60Hecke-Petersson operators, differential operators (several variables)011F66Langlands LL-functions; one variable Dirichlet series and functional equations011F67Special values of automorphic LL-series, periods of automorphic forms, cohomology, modular symbols011F68Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series011F70Representation-theoretic methods; automorphic representations over local and global fields111F72Spectral theory; trace formulas (e.g., that of Selberg)211F75Cohomology of arithmetic groups011F77Automorphic forms and their relations with perfectoid spaces011F80Galois representations011F85pp-adic theory, local fields011F99Discontinuous groups and automorphic forms0

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Journals & articles in MSC 11

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MSC2020 © Mathematical Reviews (AMS) and zbMATH · CC BY-NC-SA 4.0 · Official PDF, page 20