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Abstract analytic number theory is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example, and the emphasis is on abstract asymptotic distribution results. The theory was invented and developed by mathematicians such as and Arne Beurling in the twentieth century.

Attributes	Values
rdf:type	organisation
rdfs:label	Abstract analytic number theory (en) 抽象解析数论 (zh)
rdfs:comment	Abstract analytic number theory is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example, and the emphasis is on abstract asymptotic distribution results. The theory was invented and developed by mathematicians such as and Arne Beurling in the twentieth century. (en) 抽象解析数论（abstract analytic number theory）是数学的一个分支，把传统的解析数论的观点和方法应用于各种不同的数学领域中。以经典的素数定理为原型，重点关注抽象渐进分布的结果。该理论由数学家John Knopfmacher，Arne Beurling等人提出。 (zh)
dcterms:subject	Algebraic number theory Analytic number theory
Wikipage page ID	2035764 (xsd:integer)
Wikipage revision ID	1019223219 (xsd:integer)
Link from a Wikipage to another Wikipage	Prime number theorem Algebraic number field Beurling zeta function Character group Commutative Compact space Mathematics Monoid Connected space Arithmetic function Ideal (ring theory) Ideal class group Category (category theory) Disjoint union (topology) Countable Landau prime ideal theorem Semigroup Algebraic number theory American Mathematical Society Analytic number theory Cyclic group Field (mathematics) Finite set Floor function Formal power series Chebotarev's density theorem Dirichlet series Pseudometric space Ring (mathematics) Prime number Arne Beurling Asymptotic analysis Abelian group Algebraic number theory Analytic number theory Axiom A Manifold Integer Radius of convergence Rational number Real number Space (mathematics) Subset Free commutative monoid Simply-connected Negative and positive numbers dbr:John_Knopfmacher
sameAs	Abstract analytic number theory Abstract analytic number theory Abstract analytic number theory Abstract analytic number theory
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Redirect dbt:Reflist
has abstract	Abstract analytic number theory is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example, and the emphasis is on abstract asymptotic distribution results. The theory was invented and developed by mathematicians such as and Arne Beurling in the twentieth century. (en) 抽象解析数论（abstract analytic number theory）是数学的一个分支，把传统的解析数论的观点和方法应用于各种不同的数学领域中。以经典的素数定理为原型，重点关注抽象渐进分布的结果。该理论由数学家John Knopfmacher，Arne Beurling等人提出。 (zh)
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prov:wasDerivedFrom	wikipedia-en:Abstract_analytic_number_theory?oldid=1019223219&ns=0
page length (characters) of wiki page	8267 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Abstract_analytic_number_theory
is Link from a Wikipage to another Wikipage of	Prime number theorem Beurling zeta function Glossary of areas of mathematics Analytic Landau prime ideal theorem Arithmetic semigroup Arithmetical formation Abstract prime number theorem Additive number system
is Wikipage redirect of	Arithmetic semigroup Arithmetical formation Abstract prime number theorem Additive number system
is Wikipage disambiguates of	Analytic
is foaf:primaryTopic of	wikipedia-en:Abstract_analytic_number_theory

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