The aim of the thesis is to describe the fundamentals of quadratic fields. In the first part integer and polynomial arithmetic is mentioned. The main part discusses the topic of quadratic field, quadratic integer, Gaussian field and Gaussian integer. The final part deals with quadratic fields without unique factorization and a solution of the problem through ideals
Abstract approved Redacted for Privacy (Major professor) This thesis studies the question of unique ...
Minor corrections and new numerical resultsWe use the polynomials m_s(t) = t^2 − 4s, s ∈ {−1, 1}, in...
26 pages. Elementary subject about real quadratic fields with new algorithms using given PARI progra...
Abstract. This thesis will deal with quadratic elds. The prob- lem is to study such elds and their ...
The purpose of this thesis is to investigate the properties of ideals in quadratic number fields, A ...
U ovom radu proučavamo svojstva kvadratnih proširenja racionalnih brojeva. Prvo klasificiramo sva kv...
8th International Conference on Promoting the Application of Mathematics in Technical and Natural Sc...
This thesis deals with quadratic integer rings, in particular the Gaussian integers Z}[i]. Concepts ...
Thesis (M.A.)--Boston UniversityPLEASE NOTE: Boston University Libraries did not receive an Authoriz...
In real quadratic number field Q (root d), integral basis element is denoted by w(d) = [a(0); a(1), ...
The main part of the thesis are various search methods and calculating polynomial roots. In the intr...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
U ovom radu govorimo o kvadratnim proširenjima polja racionalnih brojeva, i to prvenstveno realnim k...
Dirichlet's theorem describes the structure of the group of units of the ring of algebraic integers ...
If an element in a given field can be expressed as a product of two equivalent elements that are als...
Abstract approved Redacted for Privacy (Major professor) This thesis studies the question of unique ...
Minor corrections and new numerical resultsWe use the polynomials m_s(t) = t^2 − 4s, s ∈ {−1, 1}, in...
26 pages. Elementary subject about real quadratic fields with new algorithms using given PARI progra...
Abstract. This thesis will deal with quadratic elds. The prob- lem is to study such elds and their ...
The purpose of this thesis is to investigate the properties of ideals in quadratic number fields, A ...
U ovom radu proučavamo svojstva kvadratnih proširenja racionalnih brojeva. Prvo klasificiramo sva kv...
8th International Conference on Promoting the Application of Mathematics in Technical and Natural Sc...
This thesis deals with quadratic integer rings, in particular the Gaussian integers Z}[i]. Concepts ...
Thesis (M.A.)--Boston UniversityPLEASE NOTE: Boston University Libraries did not receive an Authoriz...
In real quadratic number field Q (root d), integral basis element is denoted by w(d) = [a(0); a(1), ...
The main part of the thesis are various search methods and calculating polynomial roots. In the intr...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
U ovom radu govorimo o kvadratnim proširenjima polja racionalnih brojeva, i to prvenstveno realnim k...
Dirichlet's theorem describes the structure of the group of units of the ring of algebraic integers ...
If an element in a given field can be expressed as a product of two equivalent elements that are als...
Abstract approved Redacted for Privacy (Major professor) This thesis studies the question of unique ...
Minor corrections and new numerical resultsWe use the polynomials m_s(t) = t^2 − 4s, s ∈ {−1, 1}, in...
26 pages. Elementary subject about real quadratic fields with new algorithms using given PARI progra...