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Version 10.6 Reference Manual

Home - Modular Forms

Creating spaces of modular forms
Generic spaces of modular forms
Ambient spaces of modular forms
Modular forms with character
Modular forms for \(\Gamma_0(N)\) over \(\QQ\)
Modular forms for \(\Gamma_1(N)\) and \(\Gamma_H(N)\) over \(\QQ\)
Modular forms over a non-minimal base ring
Submodules of spaces of modular forms
The cuspidal subspace
The Eisenstein subspace
Eisenstein series
Eisenstein series, optimized
Elements of modular forms spaces
Hecke operators on \(q\)-expansions
Numerical computation of newforms
The Victor Miller basis
Compute spaces of half-integral weight modular forms
Graded rings of modular forms
\(q\)-expansion of \(j\)-invariant
\(q\)-expansions of theta series
Design notes

Overview of Hecke triangle groups and modular forms for Hecke triangle groups
Graded rings of modular forms for Hecke triangle groups
Modular forms for Hecke triangle groups
Elements of Hecke modular forms spaces
Elements of graded rings of modular forms for Hecke triangle groups
Constructor for spaces of modular forms for Hecke triangle groups based on a type
Functor construction for all spaces
Hecke triangle groups
Hecke triangle group elements
Analytic types of modular forms
Graded rings of modular forms for Hecke triangle groups
Modular forms for Hecke triangle groups
Subspaces of modular forms for Hecke triangle groups
Series constructor for modular forms for Hecke triangle groups

Introduction to Drinfeld modular forms
Graded rings of Drinfeld modular forms
Elements of Drinfeld modular forms rings

Graded quasimodular forms ring
Elements of quasimodular forms rings

Dirichlet characters
The set \(\mathbb{P}^1(\QQ)\) of cusps
Dimensions of spaces of modular forms
Conjectural slopes of Hecke polynomials
Local components of modular forms
Smooth characters of \(p\)-adic fields
Type spaces of newforms
Helper functions for local components
Eta-products on modular curves \(X_0(N)\)
The space of \(p\)-adic weights
Overconvergent \(p\)-adic modular forms for small primes
Atkin/Hecke series for overconvergent modular forms
Module of supersingular points
Brandt modules
The set \(\mathbb{P}^1(K)\) of cusps of a number field \(K\)
Hypergeometric motives
Algebra of motivic multiple zeta values

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Index – K

k() (sage.modular.overconvergent.weightspace.AlgebraicWeight method)
katz_expansions() (in module sage.modular.overconvergent.hecke_series)
kernel() (sage.modular.dirichlet.DirichletCharacter method)
kloosterman_sum() (sage.modular.dirichlet.DirichletCharacter method)
kloosterman_sum_numerical() (sage.modular.dirichlet.DirichletCharacter method)
kronecker_character() (in module sage.modular.dirichlet)
kronecker_character_upside_down() (in module sage.modular.dirichlet)

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