Documentation

function
- ALGEBRAIC FUNCTION FIELDS
- Arithmetic Functions (RING OF INTEGERS)
- CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS
- Function (MAPPINGS)
- Function Application (MAGMA SEMANTICS)
- Function Expressions (MAGMA SEMANTICS)
- Function Fields and their Elements (SCHEMES)
- Function Values Assigned to Identifiers (MAGMA SEMANTICS)
- Functions (FUNCTIONS, PROCEDURES AND PACKAGES)
- Functions and Procedures (FUNCTIONS, PROCEDURES AND PACKAGES)
- FUNCTIONS, PROCEDURES AND PACKAGES
- RATIONAL FUNCTION FIELDS
- Structure Creation (CHARACTERS OF FINITE GROUPS)
- Structure Creation (CHARACTERS OF FINITE GROUPS)
- The Growth Function (AUTOMATIC AND HYPERBOLIC GROUPS)
- Zeta Function of a Singular Curve (ALGEBRAIC CURVES)
- function
- function
function-application
- Function Application (MAGMA SEMANTICS)
function-expression
- Function Expressions (MAGMA SEMANTICS)
function-field
- ALGEBRAIC FUNCTION FIELDS
function-field-class
- CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS
function-procedure
- Functions and Procedures (FUNCTIONS, PROCEDURES AND PACKAGES)
function-procedure-package
- FUNCTIONS, PROCEDURES AND PACKAGES
function-value-assignment
- Function Values Assigned to Identifiers (MAGMA SEMANTICS)
function_field
- Function Field (HYPERELLIPTIC CURVES)
- Function Fields (ALGEBRAIC CURVES)
- Polynomials (ELLIPTIC CURVES)
function_field_and_polynomials
- Function Field and Polynomial Ring (HYPERELLIPTIC CURVES)
Functional
- CFENew(L) : LSer -> FldReElt
- CheckFunctionalEquation(L) : LSer -> FldComElt
Functionality
- pParts(H) : HypGeomMot -> List
- Functionality (HYPERGEOMETRIC MOTIVES)
functionality
- Jacobi Motive Functionality (HYPERGEOMETRIC MOTIVES)
FunctionDegree
- FunctionDegree(f) : MapSch -> RngIntElt
FunctionField
- FunctionField(A) : Aff -> FldFunFracSch
- FunctionField(C) : Crv -> FldFunFracSch
- FunctionField(X) : CrvMod -> FldFun
- FunctionField(D) : DiffFun -> FldFun
- FunctionField(d) : DiffFunElt -> FldFun
- FunctionField(G) : DivFun -> FldFun
- FunctionField(D) : DivFunElt -> FldFun
- FunctionField(A) : FldFunAb -> FldFun
- FunctionField(F) : FldInvar -> FldFunRat
- FunctionField(f : parameters) : RngMPolElt -> FldFun
- FunctionField(S) : PlcFun -> FldFun
- FunctionField(P) : PlcFunElt -> FldFun
- FunctionField(X) : RieSrf -> FldFun
- FunctionField(R) : Rng -> FldFunG
- FunctionField(R) : Rng -> FldFunRat
- FunctionField(R, r) : Rng, RngIntElt -> FldFunRat
- FunctionField(O) : RngFunOrd -> FldFun
- FunctionField(e) : RngWittElt -> FldFun, Map
- FunctionField(A) : Sch -> FldFunFracSch
- FunctionField(C) : Sch -> FldFunG
- FunctionField(S) : [RngUPolElt] -> FldFun
- ext< K | f > : FldFunRat, RngUPolElt -> FldFun
- FldFunRat_FunctionField (Example H44E1)
FunctionFieldDatabase
- FunctionFieldDatabase(q, d) : RngIntElt, RngIntElt -> DB
FunctionFieldDifferential
- CurvePlace(C, p) : Crv, PlcFunElt -> PlcCrvElt
- FunctionFieldDivisor(d) : DivCrvElt -> DivFunElt
- CurveDivisor(C, d) : Crv, DivFunElt -> DivCrvElt
- FunctionFieldDifferential(d) : DiffCrvElt -> DiffFunElt
- CurveDifferential(C, d) : Crv, DiffFunElt -> DiffCrvElt
- FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt
FunctionFieldDivisor
- CurvePlace(C, p) : Crv, PlcFunElt -> PlcCrvElt
- FunctionFieldDivisor(d) : DivCrvElt -> DivFunElt
- CurveDivisor(C, d) : Crv, DivFunElt -> DivCrvElt
- FunctionFieldDifferential(d) : DiffCrvElt -> DiffFunElt
- CurveDifferential(C, d) : Crv, DiffFunElt -> DiffCrvElt
- FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt
FunctionFieldPlace
- CurvePlace(C, p) : Crv, PlcFunElt -> PlcCrvElt
- FunctionFieldDivisor(d) : DivCrvElt -> DivFunElt
- CurveDivisor(C, d) : Crv, DivFunElt -> DivCrvElt
- FunctionFieldDifferential(d) : DiffCrvElt -> DiffFunElt
- CurveDifferential(C, d) : Crv, DiffFunElt -> DiffCrvElt
- FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt
FunctionFields
- FunctionFields(D) : DB -> [ FldFunG ]
Functions
- EulerFactorsByDeformation(Q, Y) : RngMPolElt, SeqEnum -> SeqEnum
- ZetaFunctionsByDeformation(Q, Y) : RngMPolElt, SeqEnum -> SeqEnum
- JacobianOrdersByDeformation(Q, Y) : RngMPolElt, SeqEnum -> SeqEnum
- FldAC_Functions (Example H43E4)
- FldFin_Functions (Example H22E3)
- FldFin_Functions (Example H22E4)
functions
- Associated Structures (MODULAR CURVES)
- Constructing Artin Representations (ARTIN REPRESENTATIONS)
- Construction Functions (FINITE SOLUBLE GROUPS)
- Conversion Functions (INCIDENCE GEOMETRY)
- Creation Functions (DIRICHLET AND HECKE CHARACTERS)
- Creation of Symmetric Functions (SYMMETRIC FUNCTIONS)
- Differential Operators of Algebraic Functions (DIFFERENTIAL RINGS)
- Elementary Functions (MODULES OVER DEDEKIND DOMAINS)
- Functions (INVARIANT THEORY)
- Functions and Homogeneity on Ambient Spaces (SCHEMES)
- Functions for Invariant Fields (INVARIANT THEORY)
- Properties of Riemann Surfaces (RIEMANN SURFACES)
- Special Intrinsics (LATTICES OVER NUMBER FIELDS)
- Transfer Between Group Categories (FINITE SOLUBLE GROUPS)
- Zeta Functions of Curves (ALGEBRAIC CURVES)

V2.28, 13 July 2023

Magma is maintained and distributed by the Computational Algebra Group, School of Mathematics and Statistics, University of Sydney.