Algebraic, analytic and combinatorial methods of number theory

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Project Identification
GA201/01/0471
Project Period
1/2001 - 1/2003
Investor / Pogramme / Project type
Czech Science Foundation
MU Faculty or unit
Faculty of Science
Cooperating Organization
University of Ostrava
Faculty of Science University of Ostrava
Charles University
Faculty of Mathematics and Physics Charles University
Prague Institute of Chemical Technology
Faculty of Chemistry and Engineering Prague Institute of Chemical Technology

Project unifies the research capacity of the existing Czech research centers pursuing research in number theory on an international level. The aim of the project is to develop that algebraic, analytic and combinatorial methods of number theory, which are currently intensively investigated on foreign and home institutions. The methods ment are those which further develop abstract ideal theory in algebraic systems, theory of divisors in ordered groups, properties of ideal structures in various algebraic e xtensions and describing fundamental characteristics of algebraic number fields. Then the analytic and combinatorial methods suitable for study of arithmetical aspects as density, irrationality, uniform distribution of number sets and of properties of ar ithmetic functions and their generalizations on further algebraic objects like arithmetical semigroups. The aim is also to develop methods suitable for use in areas related to number theory with the emphasis on the search of new ideas for solving of know

Publications

Total number of publications: 8


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