They do not give it any particular name. For DESeq, it was just referred to as DESeq. They help users to understand it better by stating that it is akin to a Fisher's Exact test. It is essentially it's own statistical test developed for the purpose of determining probabilities from RNA-seq. The formulae used are in the manuscript whose URL arup has provided.
Some things to remember:
DESeq / DESeq2 both model data as a negative binomial, in which the
mean-to-variance relationship can vary. Earlier methods modelled the
data as a Poisson, in which the mean=variance.
In DESeq2, the statistical test was switched to the Wald Test, which
is applied on a gene-wise basis on the fitted negative binomial
model.
The DESeq(1) paper: