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Projects

2 561 projects (0,203s)

Project

The ideal class groups of abelian number fields (GA15-15785S)

The ideal class groups of algebraic number fields have been invented by E. E object of algebraic number theory. They were introduced due to their usefulness of the most important classical topics of algebraic number theory....

BA - Obecná matematika

  • 2015 - 2017
  • 1 980 tis. Kč
  • 1 980 tis. Kč
  • GA ČR
Project

The ideal class groups of abelian extensions of some number fields (GA18-11473S)

The ideal class groups of algebraic number fields have been invented by E. E object of algebraic number theory. They were introduced for the purpose of solving classical topics of algebraic number theory. For abelian fields...

Pure mathematics

  • 2018 - 2020
  • 2 207 tis. Kč
  • 1 574 tis. Kč
  • GA ČR
Project

Algebraic Structures, Number Theory and Their Aplications. (IAA1187101)

Algebraic number theory studies the arithmetics of algebraic number fields - rings of integers in numbers fields, the ideals in the ring of integers fails arithmeticalproperties of field of algebraic numbers. Proje...

BA - Obecná matematika

  • 2001 - 2003
  • 2 871 tis. Kč
  • 1 641 tis. Kč
  • AV ČR
Project

Algebraic, analytic and combinatorial number theory (GA201/07/0191)

, combinatorial and analytic number theory and thus to contribute to a better understanding, rational and algebraic numbers, and their underlying structures, and to extend some density relations of number sets, questions co...

BA - Obecná matematika

  • 2007 - 2009
  • 3 220 tis. Kč
  • 3 220 tis. Kč
  • GA ČR
Project

Quadratic forms and numeration systems over number fields (GJ17-04703Y)

We plan to study universal quadratic forms and numeration systems over number of integers in totally real number fields. Our main goal is to investigate the minimal numbers and on the behaviour of continued fractions over g...

BA - Obecná matematika

  • 2017 - 2019
  • 6 484 tis. Kč
  • 6 484 tis. Kč
  • GA ČR
Project

Universal Quadratic Forms and Class Numbers (GM21-00420M)

structures of number fields. This will have important implications, e.g., for 1. universal quadratic forms over (totally real) number fields, estimating their ranks and proving 290-theorems, and 2. class numbers of num...

Pure mathematics

  • 2021 - 2025
  • 23 271 tis. Kč
  • 23 271 tis. Kč
  • GA ČR
Project

Cryptographic random and pseudo-random number generators (GA102/06/0711)

on random numbers. There is a substantial difference between random numbers used for cryptographic and other, e.g. simulation, purposes; and the area of (pseudo)random number of properties for mechanisms usable for cryptog...

IN - Informatika

  • 2006 - 2008
  • 3 651 tis. Kč
  • 3 117 tis. Kč
  • GA ČR
Project

Algebraic, analytic and combinatorial methods of number theory (GA201/01/0471)

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<...

BA - Obecná matematika

  • 2001 - 2003
  • 4 293 tis. Kč
  • 2 880 tis. Kč
  • GA ČR
Project

Scholastic theories of relation as a possible source of the structuralist concept of number. (GA13-08512S)

Ontology of number belongs to central issues of philosophy of mathematics. One that numbers do not exist independently, but that they are generated by their mutual relations. However, structuralists are not unanimous in the ontology...

AA - Filosofie a náboženství

  • 2013 - 2018
  • 2 374 tis. Kč
  • 2 374 tis. Kč
  • GA ČR
Project

Number theory and its applications (MEB080877)

To find new scientific results and their applications in two fields of number theory: theory of generating pseudorandom numbers and theory of densities of sets of positive integers.......

BA - Obecná matematika

  • 2008 - 2009
  • 54 tis. Kč
  • 54 tis. Kč
  • MŠMT
  • 1 - 10 out of 2 561