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[Texts]## 11F: Discontinuous groups and automorphic forms |

- 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 [new in 2000]
- 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 [new in 2000]
- 11F52: Modular forms associated to Drinfel´ d modules [new in 2000]
- 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 properties
- 11F85:
*p*-adic theory, local fields [See also 14G20, 22E50] - 11F99: None of the above, but in this section

Parent field: 11: Number Theory

Browse all (old) classifications for this area at the AMS.

- Shimura, Goro: "Introduction to the arithmetic theory of automorphic functions", Publications of the Mathematical Society of Japan, 11. Princeton University Press, Princeton, NJ, 1994. 271 pp. ISBN 0-691-08092-5
- Apostol, Tom M.: "Modular functions and Dirichlet series in number theory", Springer-Verlag, New York-Berlin, 1990. 204 pp. ISBN 0-387-97127-0

- A tour of moduli spaces, stacks, PSL(2,Z), and related delights. [John Baez]
- Theta functions: Sum(x^(n^2)), Jacobi identity, use to solve polynomial equations;
- Theta functions ( Sum a^k^2, k from 0 to n) and the Jacobi identity.
- Theta-functions (e.g. theta(z) = sum(exp q^(n^2) )
- Dirichlet series related to zeta function and arithmetic functions
- Recursive formula for the Ramanujan Tau function

Last modified 2000/01/14 by Dave Rusin. Mail: