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