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Subindex: Hilbert  ..  HilbertSeries


Hilbert

   HilbertClassField(K) : FldAlg -> FldAb
   HilbertClassField(K, p) : FldFun, PlcFunElt -> FldFunAb
   HilbertClassPolynomial(D) : RngIntElt -> RngUPolElt
   HilbertClassPolynomial(D) : RngIntElt -> RngUPolElt
   HilbertCoefficient(D,i) : DivTor,RngIntElt -> RngIntElt
   HilbertCoefficients(D,l) : DivTor,RngIntElt -> [RngIntElt]
   HilbertCuspForms(F, N, k) : FldNum, RngOrdIdl, SeqEnum -> ModFrmHil
   HilbertDenominator(M) : ModMPol -> RngUPol
   HilbertDenominator(I) : RngMPol -> RngUPol
   HilbertFunction(p,V) : RngUPolElt, SeqEnum -> UserProgram
   HilbertGroebnerBasis(S, H) : [ RngMPolElt ], FldFunRatUElt -> BoolElt, [ RngMPolElt ]
   HilbertIdeal(R) : RngInvar -> RngMPol
   HilbertNumerator(g, D) : FldFunRatUElt, SeqEnum -> FldFunRatUElt
   HilbertNumerator(X) : GRSch -> RngUPolElt
   HilbertNumerator(M) : ModMPol -> RngUPolElt, RngIntElt
   HilbertNumerator(I) : RngMPol -> RngUPol
   HilbertPolynomial(D) : DivTor -> [RngUPolElt]
   HilbertPolynomial(I) : ModMPol -> RngUPolElt, RngIntElt
   HilbertPolynomial(I) : RngMPol -> RngUPolElt, RngIntElt
   HilbertPolynomialOfCurve(g,m) : RngIntElt,RngIntElt -> RngUPolElt
   R`HilbertSeries
   HilbertSeries(D) : DivTor -> FldFunRatUElt
   HilbertSeries(X) : GRSch -> FldFunRatUElt
   HilbertSeries(M) : ModMPol -> FldFunElt
   HilbertSeries(M, p) : ModMPol, RngIntElt -> RngSerLaurElt
   HilbertSeries(R) : RngInvar -> FldFunUElt
   HilbertSeries(I) : RngMPol -> FldFunUElt
   HilbertSeries(I, p) : RngMPol, RngIntElt -> RngSerLaurElt
   HilbertSeries(p,V) : RngUPolElt, SeqEnum -> FldFunRatUElt
   HilbertSeriesApproximation(R, n) : RngInvar, RngIntElt -> RngSerLaurElt
   HilbertSeriesMultipliedByMinimalDenominator(p,V) : RngUPolElt, SeqEnum -> RngUPolElt, SeqEnum
   HilbertSpace(F, n) : FldCom, RngIntElt -> HilbSpc
   HilbertSymbol(a, b, p) : FldRatElt, FldRatElt, RngIntElt -> RngIntElt
   HilbertSymbol(a, b, p : parameters) : FldRatElt, FldRatElt, RngIntElt -> RngIntElt
   WeberToHilbertClassPolynomial(f,D) : RngUPolElt, RngIntElt -> RngUPolElt
   Ideal_Hilbert (Example H106E15)
   PMod_Hilbert (Example H109E6)

hilbert

   HILBERT MODULAR FORMS
   Hilbert Series (MODULES OVER MULTIVARIATE RINGS)
   Hilbert Series and Hilbert Polynomial (POLYNOMIAL RING IDEAL OPERATIONS)
   Hilbert Spaces (QUANTUM CODES)
   Hilbert Symbols and Embeddings (QUATERNION ALGEBRAS)
   Hilbert-driven Gröbner Basis Construction (GRÖBNER BASES)
   FldAb_hilbert (Example H39E1)

hilbert-class-field

   FldAb_hilbert-class-field (Example H39E6)

hilbert-groebner

   Hilbert-driven Gröbner Basis Construction (GRÖBNER BASES)

hilbert-modular-forms

   HILBERT MODULAR FORMS

hilbert-space

   Hilbert Spaces (QUANTUM CODES)

hilbert-symbols

   Hilbert Symbols and Embeddings (QUATERNION ALGEBRAS)

Hilbert90

   AdditiveHilbert90(a, q) : FldFinElt, RngIntElt -> FldFinElt
   Hilbert90(a, q) : FldFinElt, RngIntElt -> FldFinElt
   Hilbert90(a, M) : FldNumElt, Map[FldNum, FldNum] -> FldNumElt

Hilbert_Symbols

   AlgQuat_Hilbert_Symbols (Example H86E12)

HilbertClassField

   HilbertClassField(K) : FldAlg -> FldAb
   HilbertClassField(K, p) : FldFun, PlcFunElt -> FldFunAb

HilbertClassPolynomial

   HilbertClassPolynomial(D) : RngIntElt -> RngUPolElt
   HilbertClassPolynomial(D) : RngIntElt -> RngUPolElt

HilbertCoefficient

   HilbertCoefficient(D,i) : DivTor,RngIntElt -> RngIntElt

HilbertCoefficients

   HilbertCoefficients(D,l) : DivTor,RngIntElt -> [RngIntElt]

HilbertCuspForms

   HilbertCuspForms(F, N, k) : FldNum, RngOrdIdl, SeqEnum -> ModFrmHil

HilbertDenominator

   HilbertDenominator(M) : ModMPol -> RngUPol
   HilbertDenominator(I) : RngMPol -> RngUPol

HilbertFunction

   HilbertFunction(p,V) : RngUPolElt, SeqEnum -> UserProgram

HilbertGroebner

   GB_HilbertGroebner (Example H105E14)

HilbertGroebnerBasis

   HilbertGroebnerBasis(S, H) : [ RngMPolElt ], FldFunRatUElt -> BoolElt, [ RngMPolElt ]

HilbertIdeal

   HilbertIdeal(R) : RngInvar -> RngMPol

HilbertNumerator

   HilbertNumerator(g, D) : FldFunRatUElt, SeqEnum -> FldFunRatUElt
   HilbertNumerator(X) : GRSch -> RngUPolElt
   HilbertNumerator(M) : ModMPol -> RngUPolElt, RngIntElt
   HilbertNumerator(I) : RngMPol -> RngUPol

HilbertPolynomial

   HilbertPolynomial(D) : DivTor -> [RngUPolElt]
   HilbertPolynomial(I) : ModMPol -> RngUPolElt, RngIntElt
   HilbertPolynomial(I) : RngMPol -> RngUPolElt, RngIntElt

HilbertPolynomialOfCurve

   HilbertPolynomialOfCurve(g,m) : RngIntElt,RngIntElt -> RngUPolElt

HilbertSeries

   R`HilbertSeries
   HilbertSeries(D) : DivTor -> FldFunRatUElt
   HilbertSeries(X) : GRSch -> FldFunRatUElt
   HilbertSeries(M) : ModMPol -> FldFunElt
   HilbertSeries(M, p) : ModMPol, RngIntElt -> RngSerLaurElt
   HilbertSeries(R) : RngInvar -> FldFunUElt
   HilbertSeries(I) : RngMPol -> FldFunUElt
   HilbertSeries(I, p) : RngMPol, RngIntElt -> RngSerLaurElt
   HilbertSeries(p,V) : RngUPolElt, SeqEnum -> FldFunRatUElt

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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013