Translation for 'algebraic number theory' from English to Bulgarian

algebraic number theory {noun}

unverified алгебрична теория {ж} на числатамат.

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algebraic geometry {noun}

алгебрична геометрия {ж}мат.наук.

theory {noun}

теория {ж}

set theory {noun}

теория {ж} на множестватамат.

probability theory {noun}

теория {ж} на вероятностите

game theory {noun}

unverified теория {ж} на игритемат.

literary theory {noun}

литературна теория {ж}лит.наук.

conspiracy theory {noun}

конспиративна теория {ж}пол.псих.соц.

to number {verb}

номерирам

number {noun}

число {ср}

брой {м}

perfect number {noun}

съвършено число {ср}мат.

prime number {noun}

просто число {ср}мат.

random number {noun}

случайно число {ср}мат.

phone number {noun}

телефонен номер {м}

tetrahedral number {noun}

тетраедрално число {ср}мат.

number {noun} <no.>

номер {м} <№>

decimal number {noun}

десетично число {ср}

square number {noun}

квадратно число {ср}мат.

inventory number {noun}

инвентарен номер {м}

CAS (regisrty) number {noun}

регистрационен номер {м} в CASхимия

• of the rational numbers are called algebraic number fields and are the main objects of study of algebraic number theory.
• Many areas of mathematics and computer science have been brought to bear on the problem, including elliptic curves, algebraic number theory, and quantum computing.
• Global fields are in the limelight in algebraic number theory and arithmetic geometry.
• Hilbert unified the field of algebraic number theory with his 1897 treatise "Zahlbericht" (literally "report on numbers").
• In algebraic number theory, Dirichlet's theorem generalizes to Chebotarev's density theorem.

• In algebraic number theory, the study of Diophantine equations led mathematicians, during 19th century, to introduce generalizations of the integers called algebraic integers.
• The unsolved problem stimulated the development of algebraic number theory in the 19th century, and the proof of the modularity theorem in the 20th century.
• This paper not only introduced the Gaussian integers and proved they are a unique factorization domain, it also introduced the terms norm, unit, primary, and associate, which are now standard in algebraic number theory.
• of "A" under extension is one of the central problems of algebraic number theory.
• Number theory includes several subareas, including analytic number theory, algebraic number theory, geometry of numbers (method oriented), diophantine equations, and transcendence theory (problem oriented).

• The notational convenience of the Legendre symbol inspired introduction of several other "symbols" used in algebraic number theory, such as the Hilbert symbol and the Artin symbol.
• In contrast, one of the basic theorems in algebraic number theory asserts that the class group of the ring of integers of a number field is finite; its cardinality is called the class number and it is an important and rather mysterious invariant, notwithstanding the hard work of many leading mathematicians from Gauss to the present day.