|Thursday 21 March 2019|
|Events for day: Wednesday 30 January 2019|
| 14:00 - 15:00 Lecture|
On the Number of Representations of an Integer by a Binary Quadratic Form
A quadratic form is a homogeneous polynomial of degree two in any number of variables. he problem of representation of an integer by an integral quadratic form goes back to the ancient ages, whence the Greeks gave the necessary and sufficient conditions for an integer to be represented by the sum of 2,3 or 4 squares, furthermore we can ask for the exact number of representations for which we have the classical theorems of Jacobi on the number of representations of an integer by sum of 2 or 4 squares. In this talk, we will study the number of the solutions of the equation f(x, y) = n, where f is a fixed (integral) positive definite binary qu ...