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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 | Im<- Manipulate real or imaginary components of an
object
J Various modular functions
K.fun quarter period K
P.laurent Laurent series for elliptic and related
functions
WeierstrassP Weierstrass P and related functions
amn matrix a on page 637
as.primitive Converts basic periods to a primitive pair
ck Coefficients of Laurent expansion of
Weierstrass P function
congruence Solves mx+by=1 for x and y
coqueraux Fast, conceptually simple, iterative scheme for
Weierstrass P functions
divisor Number theoretic functions
e16.28.1 Numerical verification of equations 16.28.1 to
16.28.5
e18.10.9 Numerical checks of equations 18.10.9-11, page
650
e1e2e3 Calculate e1, e2, e3 from the invariants
elliptic-package Elliptic and modular functions
equianharmonic Special cases of the Weierstrass elliptic
function
eta Dedekind's eta function
farey Farey sequences
fpp Fundamental period parallelogram
g.fun Calculates the invariants g2 and g3
half.periods Calculates half periods in terms of e
latplot Plots a lattice of periods on the complex plane
lattice Lattice of complex numbers
limit Limit the magnitude of elements of a vector
massage Massages numbers near the real line to be real
mob Moebius transformations
myintegrate Complex integration
near.match Are two vectors close to one another?
newton_raphson Newton Raphson iteration to find roots of
equations
nome Nome in terms of m or k
p1.tau Does the right thing when calling g2.fun() and
g3.fun()
parameters Parameters for Weierstrass's P function
pari Wrappers for PARI functions
sn Jacobi form of the elliptic functions
sqrti Generalized square root
theta Jacobi theta functions 1-4
theta.neville Neville's form for the theta functions
theta1.dash.zero Derivative of theta1
theta1dash Derivatives of theta functions
unimodular Unimodular matrices
view Visualization of complex functions
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