Reciprocal Fibonacci Sums, Elliptic Functions, and a Joint Math Meetings Aside скачать в хорошем качестве

Reciprocal Fibonacci Sums, Elliptic Functions, and a Joint Math Meetings Aside

We begin with a quick reminder of a classic Fibonacci fact: how simple prefix sums collapse neatly into another Fibonacci number. To keep things personal and less formal, I briefly mention my Joint Mathematics Meetings experience as part of my broader math journey—but it’s not part of the math story here. From there, we visualize the Fibonacci sequence through the Binet formula to see its underlying structure, and then turn to the harder problem: inverse (reciprocal) Fibonacci sums. This is where Horadam’s formula comes in, bringing elliptic functions and Lambert series into the picture. The video wraps up by showing how to implement Horadam’s result directly in Wolfram Language.