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

Subindex: DirectSumDual  ..  Discriminant


DirectSumDual

   RootSys_DirectSumDual (Example H96E17)

DirectSumDualRadical

   RootDtm_DirectSumDualRadical (Example H97E29)
   RootDtm_DirectSumDualRadical (Example H97E30)

dirich-chars-over-nf-and-q

   FldNum_dirich-chars-over-nf-and-q (Example H34E19)

Dirichlet

   DirichletCharacter(A) : ArtRep -> GrpDrchElt
   DirichletCharacter(A) : ModAbVar -> GrpDrchElt
   DirichletCharacter(f) : ModFrmElt -> GrpDrchElt
   DirichletCharacter(M) : ModFrmHil -> GrpDrchNFElt
   DirichletCharacter(I, B) : RngOrdIdl, Tup -> GrpDrchNFElt, GrpDrchNF
   DirichletCharacterOverNF(chi) : GrpDrchElt -> GrpDrchNFElt
   DirichletCharacters(A) : ModAbVar -> List
   DirichletCharacters(M) : ModFrm -> [GrpDrchElt]
   DirichletGroup(N) : RngIntElt -> GrpDrch
   DirichletGroup(N,R) : RngIntElt, Rng -> GrpDrch
   DirichletGroup(N,R,z,r) : RngIntElt, Rng, RngElt, RngIntElt -> GrpDrch
   DirichletGroup(I) : RngOrdIdl -> GrpDrchNF
   DirichletRestriction(psi) : GrpHeckeElt -> GrpDrchNFElt
   FullDirichletGroup(N) : RngIntElt -> GrpDrch
   RngIntRes_Dirichlet (Example H19E7)

dirichlet

   Dirichlet Characters (INTEGER RESIDUE CLASS RINGS)
   Passing between Dirichlet and Hecke Characters (NUMBER FIELDS)
   Properties of Dirichlet Groups (INTEGER RESIDUE CLASS RINGS)

dirichlet-characters

   Dirichlet Characters (INTEGER RESIDUE CLASS RINGS)

dirichlet-hecke

   Passing between Dirichlet and Hecke Characters (NUMBER FIELDS)
   FldNum_dirichlet-hecke (Example H34E17)

DirichletCharacter

   DirichletCharacter(A) : ArtRep -> GrpDrchElt
   DirichletCharacter(A) : ModAbVar -> GrpDrchElt
   DirichletCharacter(f) : ModFrmElt -> GrpDrchElt
   DirichletCharacter(M) : ModFrmHil -> GrpDrchNFElt
   DirichletCharacter(I, B) : RngOrdIdl, Tup -> GrpDrchNFElt, GrpDrchNF

DirichletCharacterOverNF

   DirichletCharacterOverQ(chi) : GrpDrchNFElt -> GrpDrchElt
   DirichletCharacterOverNF(chi) : GrpDrchElt -> GrpDrchNFElt

DirichletCharacterOverQ

   DirichletCharacterOverQ(chi) : GrpDrchNFElt -> GrpDrchElt
   DirichletCharacterOverNF(chi) : GrpDrchElt -> GrpDrchNFElt

DirichletCharacters

   DirichletCharacters(A) : ModAbVar -> List
   DirichletCharacters(M) : ModFrm -> [GrpDrchElt]

DirichletGroup

   DirichletGroup(N) : RngIntElt -> GrpDrch
   DirichletGroup(N,R) : RngIntElt, Rng -> GrpDrch
   DirichletGroup(N,R,z,r) : RngIntElt, Rng, RngElt, RngIntElt -> GrpDrch
   DirichletGroup(I) : RngOrdIdl -> GrpDrchNF

dirichletQ

   FldNum_dirichletQ (Example H34E16)

DirichletRestriction

   DirichletRestriction(psi) : GrpHeckeElt -> GrpDrchNFElt

dis

   Key Warning and Disclaimer (HILBERT SERIES OF POLARISED VARIETIES)

Disc

   DiscToPlane(H,z) : SpcHyp, SpcHydElt -> SpcHypElt
   PlaneToDisc(D,z) : SpcHyd, SpcHypElt -> SpcHydElt
   RayClassGroupDiscLog(y, D) : DivFunElt, DivFunElt -> GrpAbElt
   SUnitDiscLog(SU, x, S) : Map, FldAlgElt, SeqEnum[RngOrdIdl] -> GrpAbElt
   UnitDisc() : -> SpcHyd

disc

   Creation of Orders with given Discriminant (QUATERNION ALGEBRAS)
   Creation of Orders with given Discriminant over the Integers (QUATERNION ALGEBRAS)
   Unit Disc (ARITHMETIC FUCHSIAN GROUPS AND SHIMURA CURVES)

Disconnect

   Disconnect(v,w) : GrphResVert -> GrphRes

discrete_logs

   Discrete Logarithms (ELLIPTIC CURVES OVER FINITE FIELDS)

DiscreteLog

   GrpAb_DiscreteLog (Example H69E10)
   GrpAb_DiscreteLog (Example H69E11)
   SMat_DiscreteLog (Example H27E3)

Discriminant

   AbsoluteDiscriminant(A) : FldAb -> RngIntElt
   AbsoluteDiscriminant(K) : FldAlg -> FldRatElt
   AbsoluteDiscriminant(K) : FldNum -> FldRatElt
   AbsoluteDiscriminant(O) : RngFunOrd -> .
   AbsoluteDiscriminant(O) : RngOrd -> RngIntElt
   Discriminant(O) : AlgAssVOrd[RngOrd] -> RngOrdIdl
   Discriminant(S) : AlgQuatOrd -> RngElt
   Discriminant(A) : AlgQuat[FldRat] -> RngIntElt
   Discriminant(C) : CrvCon -> FldElt
   Discriminant(E) : CrvEll -> RngElt
   Discriminant(C) : CrvHyp -> RngElt
   Discriminant(A) : FldAb -> RngOrdIdl, [RngIntElt]
   Discriminant(F) : FldNum -> RngIntElt
   Discriminant(K) : FldQuad -> RngIntElt
   Discriminant(Q) : FldRat -> RngIntElt
   Discriminant(H) : HomModAbVar -> FldRatElt, AlgMatElt
   Discriminant(M) : ModBrdt -> RngIntElt
   Discriminant(model) : ModelG1 -> RngElt
   Discriminant(V) : ModTupFld -> RngIntElt
   Discriminant(Q) : QuadBin -> RngIntElt
   Discriminant(f) : QuadBinElt -> RngIntElt
   Discriminant(O) : RngFunOrd -> .
   Discriminant(L) : RngLocA -> RngElt
   Discriminant(f, i) : RngMPolElt, RngIntElt -> RngMPolElt
   Discriminant(O) : RngOrd -> RngIntElt
   Discriminant(R) : RngPad -> RngPadElt
   Discriminant(K, k) : RngPad, RngPad -> RngPadElt
   Discriminant(I) : RngQuadFracIdl -> RngIntElt
   Discriminant(f) : RngUPolElt -> RngIntElt
   DiscriminantDivisor(m, U) : DivFunElt, GrpAb -> DivFunElt
   DiscriminantDivisor(A) : FldFunAb -> DivFunElt
   DiscriminantFromShiodaInvariants(JI) : SeqEnum -> RngElt
   DiscriminantOfHeckeAlgebra(M : Bound) : ModSym -> RngIntElt
   DiscriminantRange(D) : DB -> RngIntElt, RngIntElt
   FactoredDiscriminant(O) : AlgAssVOrd[RngOrd] -> [Tup]
   FactoredDiscriminant(S) : AlgQuatOrd -> SeqEnum
   FundamentalDiscriminant(D) : RngIntElt -> RngIntElt
   IsDiscriminant(D) : RngIntElt -> BoolElt
   IsFundamental(D) : RngIntElt -> BoolElt
   NormGroupDiscriminant(m, G) : Map, GrpAb -> RngIntElt
   QuaternionOrder(M) : ModBrdt -> AlgQuatOrd
   RamifiedPlaces(A) : AlgQuat -> SeqEnum, SeqEnum
   ReducedDiscriminant(O) : RngOrd -> RngIntElt
   RngOrd_Discriminant (Example H37E16)

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

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