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  • 11-XX Number theory
  • 11Fxx Discontinuous groups and automorphic forms
  • 11F33 Congruences for modular and p -adic modular forms

11Fxx Discontinuous groups and automorphic forms

  • 11F03 Modular and automorphic functions
  • 11F06 Structure of modular groups and generalizations; arithmetic groups
  • 11F11 Holomorphic 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
  • 11F37 Forms of half-integer weight; nonholomorphic modular forms
  • 11F41 Automorphic forms on GL ( 2 ) ; Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces
  • 11F46 Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
  • 11F50 Jacobi forms
  • 11F52 Modular forms associated to Drinfeld 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 equations
  • 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
  • 11F99 None of the above, but in this section
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Kummer's Criterion for the Special Values of Hecke L-Functions of Imaginary Quadratic Fields and Congruences Among Cusp Forms.

Haruzo Hida (1982)

Inventiones mathematicae

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