Pethő, AttilaVarga, Péter2017-10-192017-10-192017http://hdl.handle.net/2437/244308In this dissertation I will define and analyze a number system over norm-Euclidean domains (ENS), and I will generalize the shift radix systems to finite dimensional Hermitian vector spaces (ESRS) using a similar structure. One of the main features of this construction is that the remainder set is the subset of the opened unit disc, which gives us the property that |r| < 1 for every reminder r.110hucnssrsnumber expansionsnumber theoryalgebraszámbővítésekszámelméletNumber expansions over imaginary quadratic Euclidean domainsSynopsis of PhD thesisSzámbővítések imaginárius másodfokú Euklideszi gyűrűk felettInformatikai tudományokMűszaki tudományok