解析數論（analytic number theory），係數論入面嘅分支，指嘅係用數學分析入面嘅方法作爲工具，嚟解決數論入面嘅問題。佢第一次出現係數學家Dirichlet喺1837年引入Dirchlet L函數，用嚟證明Dirichlet定理。解析數論嘅成果之中，比較多人知嘅包括質數定理、黎曼ζ函數、哥德巴赫猜想及Waring問題。
Analytic number theory is a branch of number theory, which refers to the use of mathematical analysis methods as tools to solve problems in number theory. He first appeared in 1837 when the mathematician Dirichlet introduced the Dirchlet L function to prove Dirichlet's theorem. Among the achievements of analytic number theory, many people know about the prime number theorem, the Riemann ζ function, the Goldbach conjecture and the Waring problem.