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- Modular_form abstract "In mathematics, a modular form is a (complex) analytic function on the upper half-plane satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth condition. The theory of modular forms therefore belongs to complex analysis but the main importance of the theory has traditionally been in its connections with number theory. Modular forms appear in other areas, such as algebraic topology and string theory.A modular function is a modular form invariant with respect to the modular group but without the condition that f(z) be holomorphic at infinity. Instead, modular functions are meromorphic at infinity.Modular form theory is a special case of the more general theory of automorphic forms, and therefore can now be seen as just the most concrete part of a rich theory of discrete groups.".
- Modular_form wikiPageExternalLink MF.html.
- Modular_form wikiPageID "286000".
- Modular_form wikiPageLength "23012".
- Modular_form wikiPageOutDegree "129".
- Modular_form wikiPageRevisionID "681448054".
- Modular_form wikiPageWikiLink 24_(number).
- Modular_form wikiPageWikiLink Abelian_variety.
- Modular_form wikiPageWikiLink Absolute_convergence.
- Modular_form wikiPageWikiLink Absolute_value.
- Modular_form wikiPageWikiLink Algebraic_geometry.
- Modular_form wikiPageWikiLink Algebraic_topology.
- Modular_form wikiPageWikiLink Analytic_function.
- Modular_form wikiPageWikiLink Automorphic_factor.
- Modular_form wikiPageWikiLink Automorphic_form.
- Modular_form wikiPageWikiLink Category:Analytic_number_theory.
- Modular_form wikiPageWikiLink Category:Modular_forms.
- Modular_form wikiPageWikiLink Category:Special_functions.
- Modular_form wikiPageWikiLink Closure_(mathematics).
- Modular_form wikiPageWikiLink Compact_space.
- Modular_form wikiPageWikiLink Complex_analysis.
- Modular_form wikiPageWikiLink Complex_number.
- Modular_form wikiPageWikiLink Complex_numbers.
- Modular_form wikiPageWikiLink Congruence_subgroup.
- Modular_form wikiPageWikiLink Cusp_form.
- Modular_form wikiPageWikiLink Dedekind_eta_function.
- Modular_form wikiPageWikiLink Dirichlet_character.
- Modular_form wikiPageWikiLink Discrete_group.
- Modular_form wikiPageWikiLink Don_Zagier.
- Modular_form wikiPageWikiLink E8_(mathematics).
- Modular_form wikiPageWikiLink Eigenfunction.
- Modular_form wikiPageWikiLink Eisenstein_series.
- Modular_form wikiPageWikiLink Elliptic_curve.
- Modular_form wikiPageWikiLink Elliptic_function.
- Modular_form wikiPageWikiLink Equivalence_class.
- Modular_form wikiPageWikiLink Erich_Hecke.
- Modular_form wikiPageWikiLink Felix_Klein.
- Modular_form wikiPageWikiLink Floor_and_ceiling_functions.
- Modular_form wikiPageWikiLink Floor_function.
- Modular_form wikiPageWikiLink Fourier_series.
- Modular_form wikiPageWikiLink Function_field_of_an_algebraic_variety.
- Modular_form wikiPageWikiLink Functional_equation.
- Modular_form wikiPageWikiLink Fundamental_domain.
- Modular_form wikiPageWikiLink Fundamental_pair_of_periods.
- Modular_form wikiPageWikiLink Fundamental_region.
- Modular_form wikiPageWikiLink Generating_set_of_a_group.
- Modular_form wikiPageWikiLink Genus.
- Modular_form wikiPageWikiLink German_language.
- Modular_form wikiPageWikiLink Goro_Shimura.
- Modular_form wikiPageWikiLink Group_action.
- Modular_form wikiPageWikiLink Haar_measure.
- Modular_form wikiPageWikiLink Hausdorff_space.
- Modular_form wikiPageWikiLink Hearing_the_shape_of_a_drum.
- Modular_form wikiPageWikiLink Hecke_operator.
- Modular_form wikiPageWikiLink Hilbert_modular_form.
- Modular_form wikiPageWikiLink Holomorphic_function.
- Modular_form wikiPageWikiLink Homogeneous_function.
- Modular_form wikiPageWikiLink If_and_only_if.
- Modular_form wikiPageWikiLink Iff.
- Modular_form wikiPageWikiLink Imaginary_part.
- Modular_form wikiPageWikiLink Imaginary_unit.
- Modular_form wikiPageWikiLink Index_of_a_subgroup.
- Modular_form wikiPageWikiLink Inventiones_Mathematicae.
- Modular_form wikiPageWikiLink Isometry.
- Modular_form wikiPageWikiLink Isomorphic.
- Modular_form wikiPageWikiLink Isomorphism.
- Modular_form wikiPageWikiLink Isospectral.
- Modular_form wikiPageWikiLink J-invariant.
- Modular_form wikiPageWikiLink Jacobi_form.
- Modular_form wikiPageWikiLink Jean-Pierre_Serre.
- Modular_form wikiPageWikiLink John_Milnor.
- Modular_form wikiPageWikiLink Laplace_operator.
- Modular_form wikiPageWikiLink Laplacian.
- Modular_form wikiPageWikiLink Leech_lattice.
- Modular_form wikiPageWikiLink Lie_group.
- Modular_form wikiPageWikiLink Maass_forms.
- Modular_form wikiPageWikiLink Maass_wave_form.
- Modular_form wikiPageWikiLink Mathematics.
- Modular_form wikiPageWikiLink Matrix_(mathematics).
- Modular_form wikiPageWikiLink Meromorphic_function.
- Modular_form wikiPageWikiLink Mock_modular_form.
- Modular_form wikiPageWikiLink Mock_theta_function.
- Modular_form wikiPageWikiLink Modular_discriminant.
- Modular_form wikiPageWikiLink Modular_group.
- Modular_form wikiPageWikiLink Modular_group_Gamma.
- Modular_form wikiPageWikiLink Modular_unit.
- Modular_form wikiPageWikiLink Modularity_theorem.
- Modular_form wikiPageWikiLink Moduli_problem.
- Modular_form wikiPageWikiLink Moduli_space.
- Modular_form wikiPageWikiLink Nome_(mathematics).
- Modular_form wikiPageWikiLink Number_theory.
- Modular_form wikiPageWikiLink Partition_(number_theory).
- Modular_form wikiPageWikiLink Partition_function_(number_theory).
- Modular_form wikiPageWikiLink Period_lattice.
- Modular_form wikiPageWikiLink Periodic_function.
- Modular_form wikiPageWikiLink Pierre_Deligne.
- Modular_form wikiPageWikiLink Poisson_summation_formula.
- Modular_form wikiPageWikiLink Pole_(complex_analysis).
- Modular_form wikiPageWikiLink Projective_space.
- Modular_form wikiPageWikiLink Quadratic_form.