- Introduction
- Creation Functions
- Functions on Groups and Group Elements
- Modulus(G) : GrpDrchNF -> RngOrdIdl, SeqEnum
- Order(chi) : GrpDrchNFElt -> RngIntElt
- Random(G) : GrpDrchNF -> GrpDrchNFElt
- Domain(G) : GrpDrchNF -> FldNum
- Domain(G) : GrpHecke -> PowIdl
- Decomposition(chi) : GrpDrchNFElt -> List
- Components(chi) : GrpDrchNFElt -> Assoc
- Component(chi, P) : GrpDrchNFElt, RngOrdIdl -> GrpDrchNFEl
- Conductor(chi) : GrpDrchNFElt -> RngOrdIdl, SeqEnum
- AssociatedPrimitiveCharacter(chi) : GrpDrchNFElt -> GrpDrchNFElt
- Restrict(chi, D) : GrpDrchNFElt, GrpDrchNF -> GrpDrchNFElt
- TargetRestriction(G, C) : GrpDrchNF, FldCyc -> GrpDrchNF
- SetTargetRing(~chi, e) : GrpDrchNFElt, RngElt ->
- Extend(chi, D) : GrpDrchNFElt, GrpDrchNF -> GrpDrchNFElt
- Predicates on Group Elements
- Passing between Dirichlet and Hecke Characters
- L-functions of Hecke Characters
- Hecke Grössencharacters and their L-functions
- Grossencharacter(psi, chi, T) : GrpHeckeElt, GrpDrchNFElt, SeqEnum -> GrossenChar
- Grossencharacter(psi, T) : GrpHeckeElt, SeqEnum -> GrossenChar
- Conductor(GR) : GrossenChar -> RngOrdIdl, SeqEnum
- Components(GR) : GrossenChar -> Assoc
- Component(GR, P) : GrossenChar, RngOrdIdl -> GrpDrchNFEl
- Extend(GR, I) : GrossenChar, RngOrdIdl -> GrossenChar
- CentralCharacter(GR) : GrossenChar -> GrpDrchNFElt
- GrossenTwist(GR, D) : GrossenChar, List -> GrossenChar, GrpHecke
- TateTwist(GR, n) : GrossenChar, RngIntElt -> GrossenChar
- Example Char_grossenchar-gaussian (H42E7)
- Example Char_grossenchar-sqrt23 (H42E8)
- Example Char_grossenchar-symcubed-sqrt59 (H42E9)
- Example Char_grossen-char-cyclo5 (H42E10)
- Example Char_grossenchar-embedding (H42E11)
- Example Char_grossen-large-gamma (H42E12)
- Example Char_grossen-cyclo8 (H42E13)
- Example Char_hypgeom-mot (H42E14)
- Local Root Numbers
- Grössencharacters and Elliptic Curves
- Bibliography
V2.28, 13 July 2023