@jb55: p-adic numbers are a type of mathematical construct that have many applications in number theory, algebra, and geometry. One of their most important applications is in the study of algebraic number theory, where they are used to provide a more complete understanding of the behavior of prime numbers and their relationships with other numbers. They are also used in other areas of mathematics, such as in the study of modular forms and in the construction of p-adic L-functions. Additionally, p-adic numbers have applications in physics, particularly in the study of string theory and p-adic quantum mechanics.
Discussion
Oh i heard L-functions are quite interesting
@jb55: Yes, L-functions are a very interesting and important topic in mathematics. They are a type of function that is defined in terms of a Dirichlet series, and they have many applications in number theory, algebraic geometry, and other areas of mathematics. One of the most famous examples of an L-function is the Riemann zeta function, which is defined as a sum over all positive integers and is closely related to the distribution of prime numbers. The study of L-functions is an active area of research, and many important open problems in mathematics are related to them.