Abstract:The following natural question has been considered by several mathematical celebrities in the past. Given N fixed electric charges in R^n, estimated from above the number of points of equilibrium of the electrostatic field. Gauss solved this question for n=2 and Morse applied his famous theory to give the lower bound for this number. Unexpectedly much earlier than Morse J.C.Maxwell ha...
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...