ELI5: Explain Like I'm 5

Hasse–Davenport relation

Okay kiddo, so let's talk about a math thing called the Hasse-Davenport relation. Do you know what a "function" is? It's like a machine that takes in a number and gives you back a different number.

Now, imagine you have a function that's like a machine that spits out a bunch of numbers, but you only want to know if those numbers are even or odd. That's called "reducing" the function.

The Hasse-Davenport relation is about reducing the values of a special kind of function called an elliptic curve. An elliptic curve is a weird kind of shape that looks like a squiggly line.

The relation says that if you take an elliptic curve and reduce its values, you can figure out certain things about how the curve works. It's like putting the elliptic curve through a filter and seeing what comes out on the other side.

This might sound complicated, but lots of people use the Hasse-Davenport relation to help them solve math problems. It's a really neat tool that helps us understand curves and functions in a special way.