Nome in terms of m or k

Calculates the nome in terms of either \(m\) (nome()) or \(k\) (nome.k()).

nome(m)
nome.k(k)

Arguments

m

Real parameter

k

Real parameter with \(k=m^2\)

Author

Robin K. S. Hankin

Note

The nome is defined as \(e^{-i\pi K'/K}\), where \(K\) and \(iK'\) are the quarter periods (see page 576 of AMS-55). These are calculated using function K.fun().

See also

K.fun

Examples

nome(0.09)  # AMS-55 give 0.00589414 in example 7 on page 581
#> [1] 0.005894144