Weierstrass P and related functions
Calculates the invariants g2 and g3
Newton Rapheson iteration to find roots of equations
quarter period K
Visualization of complex functions
Plots a lattice of periods on the complex plane
Massages numbers near the real line to be real
Parameters for Weierstrass's P function
Calculates half periods in terms of e
Lattice of complex numbers
Farey sequences
Are two vectors close to one another?
Complex integration
Laurent series for elliptic and related functions
Converts basic periods to a primitive pair
Numerical verification of equations 16.28.1 to 16.28.5
Calculate e1, e2, e3 from the invariants
Solves mx+by=1 for x and y
Nome in terms of m or k
Derivatives of theta functions
Manipulate real or imaginary components of an object
matrix a on page 637
Dedekind's eta function
Neville's form for the theta functions
Generalized square root
Coefficients of Laurent expansion of Weierstrass P function
Jacobi form of the elliptic functions
Jacobi theta functions 1-4
Various modular functions
Moebius transformations
Number theoretic functions
Fast, conceptually simple, iterative scheme for Weierstrass P
functions
Wrappers for PARI functions
Does the right thing when calling g2.fun() and g3.fun()
Elliptic and modular functions
Fundamental period parallelogram
Limit the magnitude of elements of a vector
Special cases of the Weierstrass elliptic function
Unimodular matrices
Numerical checks of equations 18.10.9-11, page 650
Derivative of theta1