Inversive Congruential Generator - Notations

Notations

Some further notation is necessary. For integers and let be the set of nonzero lattice points with for .

Define

r(h,q)= \begin{cases} q \sin (\pi|h|/q)&\text{for }h \in C_{1}(q)\\ 1 &\text{for }h = 0 \end{cases}

and

r (\mathbf{h},q)=\prod_{j=1}^k r(h_j,q)

for . For real the abbreviation is used, and stands for the standard inner product of .

Read more about this topic:  Inversive Congruential Generator