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More
Recently modified Knowls
A
mf.gl2.history
A brief history of $\textrm{GL}(2)$ modular forms
mf.gl2.history.varieties
Algebraic varieties
mf.bianchi.anr
Analytic rank of a Bianchi newform
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.bianchimodularforms
Bianchi modular forms
mf.bianchi.newform
Bianchi newform
C
mf.maass.mwf.character
Character of a Maass form
mf.bianchi.cm
CM Bianchi newforms
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.degree
Degree of a Siegel modular form
mf.hilbert.dimension
Dimension of a Hecke orbit
mf.siegel.lift.ikeda
Duke-Imamoglu-Ikeda lift
E
mf.gl2.history.elliptic
Elliptic functions
mf.11.2.1.a.formulas
Eta product for mf.11.2.1.a
mf.12.3.5.a.formulas
Eta product for mf.12.3.5.a
mf.14.2.1.a.formulas
Eta product for mf.14.2.1.a
mf.15.2.1.a.formulas
Eta product for mf.15.2.1.a
mf.16.3.15.a.formulas
Eta product for mf.16.3.15.a
mf.2.8.1.a.formulas
Eta product for mf.2.8.1.a
mf.20.2.1.a.formulas
Eta product for mf.20.2.1.a
mf.24.2.1.a.formulas
Eta product for mf.24.2.1.a
mf.27.2.1.a.formulas
Eta product for mf.27.2.1.a
mf.3.6.1.a.formulas
Eta product for mf.3.6.1.a
mf.32.2.1.a.formulas
Eta product for mf.32.2.1.a
mf.36.2.1.a.formulas
Eta product for mf.36.2.1.a
mf.4.5.3.a.formulas
Eta product for mf.4.5.3.a
mf.4.6.1.a.formulas
Eta product for mf.4.6.1.a
mf.5.4.1.a.formulas
Eta product for mf.5.4.1.a
mf.6.4.1.a.formulas
Eta product for mf.6.4.1.a
mf.7.3.6.a.formulas
Eta product for mf.7.3.6.a
mf.8.3.3.a.formulas
Eta product for mf.8.3.3.a
mf.8.4.1.a.formulas
Eta product for mf.8.4.1.a
mf.9.4.1.a.formulas
Eta product for mf.9.4.1.a
mf.144.2.1.a.formulas
Eta quotient for mf.144.2.1.a
mf.48.2.1.a.formulas
Eta quotient for mf.48.2.1.a
mf.64.2.1.a.formulas
Eta quotient for mf.64.2.1.a
mf.80.2.1.b.formulas
Eta quotient for mf.80.2.1.b
mf.half_integral_weight.eta_quotients
Eta quotients
F
mf.1.12.1.a.formulas
Formula for mf.1.12.1a
mf.maass.picard.fourierexpansion
Fourier expansion of a Maass form on PSL(2,Z[i])
mf.maass.mwf.fourierexpansion
Fourier expansion of Maass form
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.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
L
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.lift
Lift Siegel modular form
M
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
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.phi
Siegel $\Phi$ operator
mf.siegel.cusp_form
Siegel cusp form
mf.siegel.eisenstein_series
Siegel Eisenstein series
mf.siegel.klingen_eisenstein_series
Siegel Klingen-Eisenstein series
mf.siegel
Siegel modular form
mf.siegel.hecke_operator
Siegel modular form Hecke operators
mf.siegel.character
Siegel modular form with character
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.bianchi.spaces
Spaces of Bianchi modular forms
mf.maass.picard.eigenvalue
Spectral parameter of Maass forms on PSL(2,Z[i])
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
W
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.bianchi.fourierbessell
mf.bianchi.weight2