ABSTRACT: In this paper we present a short study of the ring of complex-valued arithmetic functions defined on the ring of Gaussian integers. We investigate an absolute value and the corresponding metric structure on this ring.
Arithmetic Functions on Gaussian Integers (journal paper)
Researcher(s):Thomas Steinberger, Alexandru Zaharescu and Mohammad Zaki
Institution:Ohio Northern University
Publication Information:International Journal of Number Theory Volume 09, Issue 08, December 2013