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Recently modified knowls
A
mf.gl2.history.varieties
Algebraic varieties
mf.bianchi.anr
Analytic rank of a Bianchi newform
mf.siegel.automorphic_type
Automorphic type
mf.siegel.extent.kp
Available samples for $M_2(K(p))$
mf.siegel.extent.sp4z
Available samples for $M_k(\mathrm{Sp}(4,\mathbb{Z}))$
mf.siegel.extent.sp6z
Available samples for $M_k(\mathrm{Sp}(6,\mathbb{Z}))$
mf.siegel.extent.sp8z
Available samples for $M_k(\mathrm{Sp}(8,\mathbb{Z}))$
mf.siegel.extent.sp4z_2
Available samples for $M_{k,2}(\mathrm{Sp}(4,\mathbb{Z}))$
B
mf.base_change
Base change of a GL(2) modular form
mf.bianchi.base_change
Base-change Bianchi modular forms
mf.bianchi.bianchigroup
Bianchi Groups
mf.bianchi
Bianchi modular form
mf.bianchi.newform
Bianchi newform
C
mf.maass.mwf.character
Character of a Maass form
mf.bianchi.cm
CM Bianchi newforms
mf.siegel.coefficient_field
Coefficient field for Siegel newforms
mf.siegel.coefficient_ring
Coefficient ring
mf.gl2.history.combinatorics
Combinatorics and $q$-series
mf.cm
Complex multiplication
mf.bianchi.bianchicongruencesubgroup
Congruence subgroup of a Bianchi group
D
mf.half_integral_weight.dedekind_eta
Dedekind eta function
mf.siegel.defining_polynomial
Defining polynomial
mf.siegel.degree
Degree of a Siegel modular form
mf.siegel.dimension
Dimension
mf.hilbert.dimension
Dimension of a Hecke orbit
mf.siegel.lift.ikeda
Duke-Imamoglu-Ikeda lift
E
mf.gl2.history.elliptic
Elliptic functions
mf.maass.exceptional_eigenvalue
Exceptional eigenvalues of Maass forms
F
mf.siegel.family
Family of Siegel groups
mf.bianchi.search_input
Find a Bianchi modular form
mf.hilbert.search_input
Find Hilbert modular form by label
mf.maass.picard.fourierexpansion
Fourier expansion of a Maass form on PSL(2,Z[i])
mf.maass.mwf.fourierexpansion
Fourier expansion of Maass form
mf.siegel.q-expansion
Fourier expansion smf
mf.bianchi.fourierbessell
Fourier-Bessel expansion
G
mf.siegel.galois_orbit
Galois orbit
mf.siegel.lift.gritsenko
Gritsenko lift
mf.sl2.subgroup.gamma0n
Group $\Gamma_0(N)$ subgroup of $\textrm{SL}(2,\mathbb{Z})$
mf.sl2.subgroup.gamma1n
Group $\Gamma_1(N)$ subgroup of $\textrm{SL}(2,\mathbb{Z})$
mf.growth_condition
Growth condition for a modular form
H
mf.half_integral_weight
Half-integral weight modular forms
mf.bianchi.hecke_algebra
Hecke algebra
mf.gl2.history.hecke
Hecke Characters
mf.hilbert.eigenvalue
Hecke eigenvalues
mf.siegel.hecke_operator
Hecke operators
mf.hilbert.hecke_orbit
Hecke orbit for Hilbert modular form
mf.hilbert
Hilbert modular form
mf.bianchi.hyperbolic3space
Hyperbolic 3-space
I
mf.gl2.history.infinite
Infinite products
J
mf.jacobi
Jacobi forms
K
mf.siegel.koecher.principle
Koecher principle
L
mf.maass.label
Label of a Maass newform
mf.siegel.label
Label of a Siegel modular form
mf.hilbert.label
Label of an Hilbert Modular Form
mf.bianchi.labels
Labels of Bianchi modular forms
mf.maass.mwf.laplacian
Laplace-Beltrami operator (hyperbolic)
mf.maass.picard.laplacian
Laplacian in 3d hyperbolic upper half-space
mf.bianchi.level
Level of a Bianchi modular form
mf.hilbert.level_norm
Level of a Hilbert modular form
mf.siegel.level
Level of a Siegel modular form
mf.siegel.lift
Lift Siegel modular form
M
mf.maass.mwf.coefficients
Maass form coefficients
mf.maass.mwf
Maass form on GL2(R) with trivial character
mf.maass.mwf.plot
Maass form plot
mf.maass.mwf.weight0
Maass forms of weight 0
mf.maass
Maass forms on GL(n)
mf.maass.picard
Maass forms on PSL(2,Z[i])
mf.siegel.lift.maass
Maass lift from Jacobi form to Siegel modular form
mf.siegel.lift.miyawaki
Miyawaki lift
mf.siegel.lift.miyawaki1
Miyawaki lift of type I, Ikeda-Miyawaki lift
mf.siegel.lift.miyawaki2
Miyawaki lift of type II
mf
Modular form (general)
mf.about
Modular Forms
mf.maass.mwf.dimension
Multiplicity of an eigenvalue
mf.multipliersystem
Multiplier system
N
mf.gl2.history.new
New modular forms from given ones
mf.siegel.newform_subspace
Newform subspace
P
mf.siegel.newform.paramodular
Paramodular newform
mf.gl2.history.poincare
Poincaré series
Q
mf.hilbert.q_expansion
q-expansion of a Hilbert modular form
mf.quasi_modular
Quasi-modular form
R
mf.gl2.history.remainder
Remainder terms
mf.hilbert.roadmap
Roadmap for Hilbert modular forms
mf.maass.roadmap
Roadmap for Maass forms
mf.siegel.roadmap
Roadmap for Siegel modular forms
S
mf.siegel.lift.saito_kurokawa
Saito-Kurokawa lift
mf.ellitpic.self_twist
Self twist of a modular form
mf.half_integral_weight.shimura_decomposition
Shimura decomposition
mf.siegel.cusp_form
Siegel cusp form
mf.siegel.cusp_form_degree2
Siegel cusp form of degree 2
mf.siegel.eisenstein_series
Siegel Eisenstein series
mf.siegel.klingen_eisenstein_series
Siegel Klingen-Eisenstein series
mf.siegel
Siegel modular form
mf.siegel.character
Siegel modular form with character
mf.siegel.newform
Siegel newform
mf.siegel.phi
Siegel $\Phi$ operator
mf.siegel.slash.op
Siegel slash operator
mf.siegel.theta_series
Siegel theta series and theta series with pluriharmonics
mf.siegel.halfspace
Siegel upper half-space
mf.bianchi.sign
Sign of a Bianchi newform
mf.siegel.newspace
Space of paramodular newforms
mf.bianchi.spaces
Spaces of Bianchi modular forms
mf.maass.spectral_index
Spectral index of a Maass form
mf.maass.picard.eigenvalue
Spectral parameter of Maass forms on PSL(2,Z[i])
mf.siegel.subspace.degree.two
Subspaces of degree 2 Siegel modular forms
T
mf.maass.mwf.eigenvalue
The eigenvalue of a Maass form
mf.maass.mwf.level
The level of a Maass form
mf.maass.mwf.ncoefficients
The number of coefficients
mf.maass.mwf.precision
The precision of an eigenvalue
mf.siegel.family.kp
The ring of paramodular cusp forms $S_k(K(p))$
mf.siegel.family.gamma_2
The ring of Siegel modular forms of degree 2 for $\Gamma(2)$
mf.siegel.family.gamma0_2
The ring of Siegel modular forms of degree 2 for $\Gamma_0(2)$
mf.siegel.family.gamma0_3
The ring of Siegel modular forms of degree 2 with respect to $\Gamma_0(3)$
mf.siegel.family.gamma0_3_psi_3
The ring of Siegel modular forms of degree 2 with respect to $\Gamma_0(3)$ with character $\psi_3$
mf.siegel.family.gamma0_4
The ring of Siegel modular forms of degree 2 with respect to $\Gamma_0(4)$
mf.siegel.family.gamma0_4_psi_4
The ring of Siegel modular forms of degree 2 with respect to $\Gamma_0(4)$ with character
mf.siegel.family.sp4z
The ring of Siegel modular forms of degree 2 with respect to the full modular group
mf.siegel.family.sp6z
The ring of Siegel modular forms of degree 3 with respect to the full modular group
mf.siegel.family.sp8z
The ring of Siegel modular forms of degree 4 with respect to the full modular group
mf.maass.mwf.spectralparameter
The spectral parameter of a Maass waveform
mf.maass.mwf.symmetry
The symmetry of a Maass form
mf.maass.mwf.weight
The weight of a Maass form
mf.siegel.theta_constant
Theta constant
mf.half_integral_weight.theta
Theta function
mf.gl2.history.theta
Theta functions
mf.transformation_property
Transformation property for modular forms
U
mf.upper_half_plane
Upper half-plane
V
mf.siegel.family.sp4z_2
Vector valued Siegel modular forms of degree 2 taking values in three-dimensional space
mf.siegel.vector_valued
Vector-valued Siegel modular forms
mf.siegel.vector_valued_degree_two
Vector-valued Siegel modular forms of degree 2
W
mf.siegel.weight_k_j
Weight
mf.bianchi.weight2
Weight 2 Bianchi modular forms
mf.slash_action
Weight $k$ slash-action
mf.bianchi.weight
Weight of a Bianchi modular form
mf.hilbert.weight_vector
Weight of a Hilbert modular form
mf.siegel.weight
Weight of a Siegel modular form