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Subindex: hecke  ..  Height


hecke

   Hecke Operators (BRANDT MODULES)
   Hecke Operators (MODULAR FORMS OVER IMAGINARY QUADRATIC FIELDS)
   Passing between Dirichlet and Hecke Characters (NUMBER FIELDS)
   The Hecke Algebra (MODULAR SYMBOLS)
   ModFrmBianchi_hecke (Example H138E2)
   ModFrmHil_hecke (Example H137E3)

hecke-algebra

   The Hecke Algebra (MODULAR SYMBOLS)

hecke-operators

   Hecke Operators (BRANDT MODULES)
   Hecke Operators (MODULAR FORMS OVER IMAGINARY QUADRATIC FIELDS)

HeckeAlgebra

   HeckeAlgebra(M : Bound) : ModSym -> AlgMat
   HeckeAlgebra(A) : ModAbVar -> HomModAbVar
   ModSym_HeckeAlgebra (Example H133E17)

HeckeBound

   HeckeBound(M) : ModSym -> RngIntElt

HeckeCharacter

   HeckeCharacter(I, B) : RngOrdIdl, Tup -> GrpHeckeElt
   DirichletCharacter(I, B) : RngOrdIdl, Tup -> GrpDrchNFElt, GrpDrchNF

HeckeCharacterGroup

   HeckeCharacterGroup(I) : RngOrdIdl -> GrpHecke

HeckeEigenvalue

   HeckeEigenvalue(f, p) : ModBrdtElt, RngElt -> RngElt
   HeckeEigenvalue(f, P) : ModFrmHilElt, RngOrdIdl -> FldAlgElt

HeckeEigenvalueBound

   HeckeEigenvalueBound(M, P) : ModFrmHil, RngOrdIdl -> RngIntElt

HeckeEigenvalueField

   HeckeEigenvalueField(M) : ModFrmHil -> Fld
   HeckeEigenvalueField(M) : ModSym -> Fld, Map

HeckeEigenvalueRing

   HeckeEigenvalueRing(M : parameters) : ModSym -> Rng, Map

HeckeEigenvectors

   Level(M) : ModBrdt -> RngElt
   Discriminant(M) : ModBrdt -> RngElt
   Conductor(M) : ModBrdt -> RngElt
   Ideals(M) : ModBrdt -> []
   InnerProductMatrix(M) : ModBrdt -> AlgMatElt
   HeckeOperator(M, n) : ModBrdtNew, RngElt -> Mtrx
   HeckeEigenvectors(M) : ModBrdt -> [ ModBrdt ]
   QuaternionOrder(M) : ModBrdt -> AlgQuatOrd

HeckeLift

   HeckeLift(chi) : GrpDrchNFElt -> GrpHeckeElt, GrpHecke

HeckeOperator

   HeckeOperator(A, n) : ModAbVar, RngIntElt -> MapModAbVar
   HeckeOperator(M, n) : ModBrdt, RngIntElt -> AlgMatElt
   HeckeOperator(M, n) : ModFrm, RngIntElt -> AlgMatElt
   HeckeOperator(M, P) : ModFrmBianchi, RngOrdIdl -> Mtrx
   HeckeOperator(M, P) : ModFrmHil, RngOrdIdl -> Mtrx
   HeckeOperator(M, n) : ModSS, RngIntElt -> AlgMatElt
   HeckeOperator(M, n) : ModSym, RngIntElt -> AlgMatElt
   HeckeOperator(n,f) : RngIntElt, ModFrmElt -> ModFrmElt
   QuaternionOrder(M) : ModBrdt -> AlgQuatOrd

HeckeOperators

   ModSym_HeckeOperators (Example H133E14)

HeckePolynomial

   HeckePolynomial(A, n) : ModAbVar, RngIntElt -> RngUPolElt
   HeckePolynomial(M, n) : ModSym, RngIntElt -> RngUPolResElt
   HeckePolynomial(M, n : parameters) : ModFrm, RngIntElt -> RngUPolElt

HeckePolynomials

   ModFrm_HeckePolynomials (Example H132E13)

Heegner

   HeegnerDiscriminants(E,lo,hi) : CrvEll[FldRat], RngIntElt, RngIntElt -> SeqEnum
   HeegnerForms(E,D : parameters) : CrvEll[FldRat], RngIntElt -> SeqEnum
   HeegnerForms(N,D : parameters) : RngIntElt, RngIntElt -> SeqEnum
   HeegnerPoint(E : parameters) : CrvEll -> BoolElt, PtEll
   HeegnerPoint(C : parameters) : CrvHyp -> BoolElt, PtHyp
   HeegnerPoints(E, D : parameters) : CrvEll[FldRat], RngIntElt -> Tup, PtEll
   HeegnerTorsionElement(E) : CrvEll[FldRat], RngIntElt -> PtEll
   CrvEllQNF_Heegner (Example H122E20)

heegner

   Heegner Points (ELLIPTIC CURVES OVER Q AND NUMBER FIELDS)

heegner-points

   Heegner Points (ELLIPTIC CURVES OVER Q AND NUMBER FIELDS)

Heegner2

   CrvEllQNF_Heegner2 (Example H122E21)

Heegner3

   CrvEllQNF_Heegner3 (Example H122E22)

Heegner4

   CrvEllQNF_Heegner4 (Example H122E23)

Heegner5

   CrvEllQNF_Heegner5 (Example H122E24)

HeegnerDiscriminants

   HeegnerDiscriminants(E,lo,hi) : CrvEll[FldRat], RngIntElt, RngIntElt -> SeqEnum

HeegnerForms

   HeegnerForms(E,D : parameters) : CrvEll[FldRat], RngIntElt -> SeqEnum
   HeegnerForms(N,D : parameters) : RngIntElt, RngIntElt -> SeqEnum

HeegnerPoint

   HeegnerPoint(E : parameters) : CrvEll -> BoolElt, PtEll
   HeegnerPoint(C : parameters) : CrvHyp -> BoolElt, PtHyp

HeegnerPoints

   HeegnerPoints(E, D : parameters) : CrvEll[FldRat], RngIntElt -> Tup, PtEll

HeegnerTorsionElement

   HeegnerTorsionElement(E) : CrvEll[FldRat], RngIntElt -> PtEll

HeighestRoots

   GrpCox_HeighestRoots (Example H98E18)
   GrpLie_HeighestRoots (Example H103E13)
   RootSys_HeighestRoots (Example H96E11)

Height

   AbsoluteLogarithmicHeight(a) : FldAlgElt -> FldPrElt
   AbsoluteLogarithmicHeight(a) : FldNumElt -> FldComElt
   CoefficientHeight(E) : FldNumElt -> RngIntElt
   CoefficientHeight(a) : RngFunOrdElt -> RngIntElt
   CoefficientHeight(E) : RngOrdElt -> RngIntElt
   CoefficientHeight(I) : RngOrdIdl -> RngIntElt
   FaltingsHeight(E) : CrvEll[FldRat] -> FldReElt
   Height(q) : FldRatElt -> RngIntElt
   Height(P: parameters) : JacHypPt -> FldPrElt
   Height(P : parameters) : PtEll -> FldPrElt
   Height(P: parameters) : PtEll -> NFldComElt
   Height(P) : PtEll -> FldRatElt
   Height(P) : StkPtnOrd -> RngIntElt
   HeightConstant(J: parameters) : JacHyp -> FldPrElt, FldPrElt
   HeightOnAmbient(P) : Pt -> FldReElt
   HeightPairing(P, Q: parameters) : JacHypPt, JacHypPt -> FldPrElt
   HeightPairing(P, Q: parameters) : PtEll, PtEll -> FldComElt
   HeightPairing(P, Q) : PtEll[FldFunG], PtEll[FldFunG] -> FldRatElt
   HeightPairingLattice(S) : [PtEll[FldFunG]] -> AlgMatElt, Map
   HeightPairingMatrix(S: parameters) : [PtEll] -> AlgMat
   HeightPairingMatrix(P : parameters) : [PtEll] -> AlgMatElt
   HeightPairingMatrix(S: Precision) : [JacHypPt] -> AlgMat
   HeightPairingMatrix(S) : SeqEnum[PtEll[FldFunG]] -> AlgMatElt
   LocalHeight(P, Pl : parameters) : PtEll, PlcNumElt -> FldPrElt
   LocalHeight(P, Pl) : PtEll, PlcFunElt -> FldPrElt
   LocalHeight(P, p) : PtEll, RngIntElt -> FldComElt
   NaiveHeight(P) : JacHypPt -> FldPrElt
   NaiveHeight(P) : PtEll -> FldPrElt
   NaiveHeight(P) : PtEll -> FldPrElt
   NaiveHeight(P) : PtEll -> FldPrElt
   RootHeight(G, r) : GrpLie, RngIntElt -> RngIntElt
   RootHeight(W, r) : GrpPermCox, RngIntElt -> RngIntElt
   RootHeight(R, r) : RootStr, RngIntElt -> RngIntElt
   RootHeight(R, r) : RootSys, RngIntElt -> RngIntElt
   pAdicHeight(P, p) : PtEll, RngIntElt -> FldPadElt

[____] [____] [_____] [____] [__] [Index] [Root]

Version: V2.19 of Mon Dec 17 14:40:36 EST 2012