Methods of number theory

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Project Identification
Project Period
1/2004 - 12/2006
Investor / Pogramme / Project type
Czech Science Foundation
MU Faculty or unit
Faculty of Science
Cooperating Organization
Institute of Computer Science of the ASCR, v. v. i.
University of Ostrava
Faculty of Science University of Ostrava

The aim of the project is to join and to coordinate the teamwork and the number theoretical research on the participating Czech research centers. The effort of the members of the team should concentrate to pursue further the methods of the algebraic,comb inatorial and analytic number theory. More specifically, to develop new algebraic methods used for the characterization of fundamental aspects of algebraic number fields, those describing properties of the ideal structure of algebraic extensions, orthose used to study abstract ideal theory in various algebraic systems and in the theory of divisors of ordered groups. The methods of the combinatorial and analytic number theory should contribute to a better understanding of the arithmetical properties(as d ensity relations, irrationality, uniform distribution, etc.) of standard arithmetical objects as the sets of the rational and algebraic integers, or the sets of arithmetical functions, or their generalizations as abstract arithmetical semigroups.


Total number of publications: 6

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