ELI5: Explain Like I'm 5

Ramanujan–Sato series

Well, the Ramanujan-Sato series is a really cool math formula that helps people calculate really big numbers! It was first discovered by a really smart guy named Srinivasa Ramanujan, and later improved upon by a mathematician named Goro Shimura, which is why it's also called the Ramanujan-Shimura series.

Now, imagine you have a really large number, like a million, and you need to find out if it can be divided by 7 evenly (meaning there is no remainder). That can be really hard to do by just trying to do the division in your head or on a calculator! But the Ramanujan-Sato series can help make that easier.

It's like a recipe that tells you how to add, subtract, and divide certain numbers in a certain order to get an answer that can help you figure out if your big number is divisible by 7. It might sound complicated, but once you learn the steps, it's not too hard!

Now, this formula is really important in a type of math called number theory, which is all about studying numbers and their properties. It's helped people discover all sorts of interesting patterns and relationships between different numbers, which can help us understand the way the world works in some pretty amazing ways!