Examples of using Algebraic number in English and their translations into Tagalog
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His interests were in algebraic number theory.
Algebraic number fields by Emmy Noether;
His work is in algebraic number theory.
Herbrand also worked on field theory considering abelian extensions of algebraic number fields.
For his work on algebraic number theory.
He directed Ramanujam to work on some generalisations of the Waring problem to algebraic number fields.
She wrote her thesis on algebraic number fields just as class field theory was being developed.
Hurwitz did excellent work in algebraic number theory.
In 1955 he attended the Algebraic Number Theory Symposium in Tokyo and it changed the direction of his research.
It became the framework of algebraic number theory.
His work on computational algebraic number theory seems to have started when he visited Caltec in 1959 and collaborated with Taussky-Todd.
Remak made important contributions to algebraic number theory.
Much of Arf's most important work was in algebraic number theory and he invented Arf invariants which have many applications in topology.
Geometry of numbers and its applications to algebraic number theory.
He studied rings of integers in algebraic number fields, giving a divisibility theory for such rings developing ideas which had been introduced by Kummer.
In the autumn of 1955 an International Symposium on Algebraic Number Theory was held in Japan.
Continuing his research,he studied arithmetic in the ring of integers in algebraic number fields.
He then read Hilbert 's Zahlbericht,a report on algebraic number theory which had been published in 1897.
He also published results on algebras which were fundamental in the study of algebraic number fields.
At this time Tokyo University had become a centre for the study of algebraic number theory as a result of Teiji Takagi 's remarkable contributions.
Hensel was interested in the exact power of a prime which divides the discriminant of an algebraic number field.
Back in Berlin he worked on his doctoral thesis on algebraic number theory under Dirichlet 's supervision.
Hensel's work followed that of his doctoral supervisor Kronecker in the development of arithmetic in algebraic number fields.
Especially striking is the interplay of various mathematical disciplines such as algebraic number theory, algebraic geometry, logic, and numerical analysis, to mention a few.
Rademacher also wrote important papers on Dedekind sums andinvestigated many problems relating to algebraic number fields.
Hilbert contributed to many branches of mathematics,including invariants, algebraic number fields, functional analysis, integral equations, mathematical physics, and the calculus of variations.
Rademacher's early arithmetical work dealt with applications of Brun's sieve method andwith the Goldbach problem in algebraic number fields.
In other work he looked at problems relating properties of algebraic number fields to algebraic K-theory.
In these two books he showed the power of applying p-adic methods to he theory of divisibility in algebraic number fields.
But also fashioned new concepts that shaped the course of research on algebraic number theory for many years to come.