Analytic Number Theory


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What is Analytic number theory?

In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic progressions. It is well known for its results on prime numbers (involving the Prime Number Theorem and Riemann zeta function) and additive number theory (such as the Goldbach conjecture and Waring's problem).

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Analytische getaltheorie (nl)Analytische Zahlentheorie (de)Analytisk talteori (sv)Teoria analítica de nombres (ca)Teoría analítica de números (es)Teoria analitica dei numeri (it)Teoria analítica dos números (pt)Аналитическая теория чисел (ru)Аналітична теорія чисел (uk)نظرية الأعداد التحليلية (ar)해석적 수론 (ko)解析数论 (zh)解析的整数論 (ja)

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