1. Establish a solid mathematical foundation: number theory is a branch of mathematics, so you need to master basic mathematical knowledge such as algebra, geometry and analysis. It is suggested that advanced mathematics, linear algebra and discrete mathematics should be studied first to lay a solid foundation in mathematics.
2. Reading classic textbooks: Choose a classic number theory textbook for systematic study. Introduction to number there and analytical number theory are recommended. These textbooks usually start with basic knowledge and gradually guide readers to deeply understand the core concepts and methods of number theory.
3. Brush exercises: Number theory is a very practical subject, and you can improve your problem-solving ability through a large number of exercises. You can choose some classic number theory topics, such as Goldbach conjecture, Fermat's last theorem and so on. At the same time, you can refer to some problem sets of number theory competitions, such as the topics of the International Mathematical Olympiad (IMO).
4. Participate in discussion and exchange: Join a math forum or community to discuss and exchange with other people who are interested in number theory. In this way, we can share learning experiences, solve problems and get inspiration from other people's views and ideas.
5. In-depth study on special topics: After mastering the basic concepts and methods of number theory, you can choose some special topics you are interested in for in-depth study. For example, the study of prime number distribution, elliptic curve cryptography and so on. This can further broaden their knowledge and application fields of number theory.
In short, learning classical analytic number theory requires unremitting efforts and continuous learning. Through systematic study, brush practice and communication with people, you can gradually improve your level of number theory.