hyphenation{hyper-geo-metric}
hyphenation{cohen}
Acknowledgements
Introduction
Functionality
Creation Functions
Access Functions
Functionality with L-series and Euler Factors
Identification of Hypergeometric Data as Other Objects
Associated Schemes and Curves
Utility Functions
Examples
Bibliography
Creation Functions
HypergeometricData(A, B) : SeqEnum, SeqEnum -> HypGeomData
HypergeometricData(G) : SeqEnum[RngIntElt] -> HypGeomData
HypergeometricData(G) : List -> HypGeomData
HypergeometricData(F, G) : SeqEnum[RngIntElt], SeqEnum[RngIntElt] -> HypGeomData
HypergeometricData(E) : SeqEnum[SeqEnum] -> HypGeomData
Twist(H) : HypGeomData -> HypGeomData
PrimitiveData(H) : HypGeomData -> HypGeomData
PossibleHypergeometricData(d) : RngIntElt -> SeqEnum
Access Functions
Weight(H) : HypGeomData -> RngIntElt
Degree(H) : HypGeomData -> RngIntElt
DefiningPolynomials(H) : HypGeomData -> RngUPolElt, RngUPolElt
CyclotomicData(H) : HypGeomData -> SeqEnum, SeqEnum
AlphaBetaData(H) : HypGeomData -> SeqEnum, SeqEnum
MValue(H) : HypGeomData -> FldRatElt
GammaArray(H) : HypGeomData -> SeqEnum
GammaList(H) : HypGeomData -> List
H1 eq H2 : HypGeomData, HypGeomDat -> BoolElt
IsPrimitive(H) : HypGeomData -> BoolElt, RngIntElt
Functionality with L-series and Euler Factors
EulerFactor(H, t, p) : HypGeomData, FldRatElt, RngIntElt -> RngUPolElt
LSeries(H, t) : HypGeomData, FldRatElt -> LSer
Identification of Hypergeometric Data as Other Objects
ArtinRepresentation(H, t) : HypGeomData, FldRatElt -> ArtRep
EllipticCurve(H) : HypGeomData -> CrvEll
HyperellipticCurve(H) : HypGeomData -> CrvHyp
Identify(H, t) : HypGeomData, FldRatElt -> Any
Associated Schemes and Curves
CanonicalScheme(H) : HypGeomData -> Sch
CanonicalCurve(H) : HypGeomData -> Crv
Utility Functions
HypergeometricMotiveSaveLimit(n) : RngIntElt -> Void
Examples
Example HypGeomMot_hypergeom-mot-first-example (H126E1)
Example HypGeomMot_hg-twist-example (H126E2)
Example HypGeomMot_imprimitivity (H126E3)
Example HypGeomMot_canonical-schemes-and-curves (H126E4)
Example HypGeomMot_hg-siegel-modular-form (H126E5)
Example HypGeomMot_hg-bad-reduction (H126E6)
Example HypGeomMot_hg-quintic-3fold (H126E7)
Example HypGeomMot_tame-primes (H126E8)
Example HypGeomMot_hgm-speed-test (H126E9)
Bibliography
[Next][Prev] [Right] [____] [Up] [Index] [Root]
Version: V2.19 of
Mon Dec 17 14:40:36 EST 2012