BIMSA-YMSC Number Theory Lunch Seminar | Calculating the Average Class Numbers of Real Quadratic Fields

Abstract：

In this presentation, we will delve into Davenport’s groundbreaking work on calculating the average class number for all real quadratic fields. The concept of class numbers plays a crucial role in algebraic number theory, particularly in the study of quadratic fields. By examining the distribution of class numbers across real quadratic fields, Davenport’s research sheds light on the underlying patterns and properties.