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