Part II Lectures on height zeta functions: At the confluence of algebraic geometry, algebraic number theory, and analysis

摘要

Broadly speaking, arithmetic is the study of diophantine equations, that is, systems of polynomial equations with integral coefficients, with a special emphasis on their solutions in rational integers. Of course, there are numerous variants, the most obvious ones allowing to consider coefficients and solutions in the field of rational numbers, or in more general number fields, or even in more general fields, e.g., finite fields.