Our paper is devoted to the development of an arithmetic method for studying the characteristic functions of sums of independent lattice random variables. This method is based on a general addition theory. Proofs of some known results are given and new ones are established.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.