- Overview
- Built-in L-series
- Computing L-values
- General L-series
- Accessing the Invariants
- Modifying the L-function
- ChangeEulerFactor(L,p,f) : LSer, RngIntElt, RngUPolElt -> LSer
- ChangeLocalInformation(L,p,d,f) : LSer, RngIntElt, RngIntElt, RngUPolElt -> LSer
- ChangeLocalInformation(L,bp) : LSer, List -> LSer
- CopyCoefficients(L,M) : LSer, LSer ->
- Example Lseries_change-local-info (H136E23)
- Precision
- Verbose Printing
- Arithmetic with L-series
- L1 * L2 : LSer, LSer -> LSer
- L1 / L2 : LSer, LSer -> LSer
- Hodge Structure
- HasHodgeStructure(L) : LSer -> BoolElt, HodgeStruc
- HodgeStructure(X) : SeqEnum -> HodgeStruc
- HodgeStructure(w, G) : RngIntElt, SeqEnum -> HodgeStruc
- Dual(HS) : HodgeStruc -> HodgeStruc
- TateTwist(HS, k) : HodgeStruc, RngIntElt -> HodgeStruc
- Translate(L, z) : LSer, RngIntElt -> LSer
- GammaFactors(HS) : HodgeStruc -> SeqEnum
- EffectiveHodgeStructure(HS) : HodgeStruc -> HodgeStruc, RngIntElt
- RootNumber(HS) : HodgeStruc -> FldCycElt
- TensorProduct(H1, H2) : HodgeStruc, HodgeStruc -> HodgeStruc
- SymmetricPower(HS, m) : HodgeStruc, RngIntElt -> HodgeStruc
- Determinant(HS) : HodgeStruc, -> HodgeStruc
- AlternatingSquare(HS) : HodgeStruc -> HodgeStruc
- HodgeVector(HS) : HodgeStruc -> SeqEnum, RngIntElt
- CriticalPoints(HS) : HodgeStruc -> SeqEnum
- ImaginaryTwist(HS) : HodgeStruc -> HodgeStruc
- Example Lseries_lseries-hodge-struc (H136E24)
- Tensor Products
- Symmetric Powers
- Advanced Examples
- Bibliography
V2.28, 13 July 2023