We present exact and complete algorithms based on precomputed Sturm-Habicht sequences, discriminants and invariants, that classify, isolate with rational points and compare the re...
In this paper an unconditional probabilistic algorithm to compute the class number of a real quadratic field Q( √ d) is presented, which computes the class number in expected ti...
Abstract — Error correction codes defined over realnumber and complex-number fields have been studied and recognized as useful in many applications. However, most real-number a...
Abstract. We describe some constructions of orthonormal lattices in totally real subfields of cyclotomic fields, obtained by endowing their ring of integers with a trace form. We...
In some real-time application systems, there are only a few distinct kinds of tasks, each of which may be instantiated several times during runtime. The scheduling of such sporadi...