5
$\begingroup$

I am new to the topic, so I'm trying to get an overview. I am aware of the relation between modular forms and $L$-series (but don't know what that does) and FLT.

Are there other applications of modular forms other than counting problems (by obtaining the coefficients of a series) in number theory?

A short list would be sufficient but a little more detail with that would be helpful.

EDIT: I am aware of this post but my question is specifically on number theory.

$\endgroup$
2

2 Answers 2

9
$\begingroup$
$\endgroup$
4
$\begingroup$

Modular forms are used to solve Fermat's last theorem, Mock modular forms are used in black holes theory. I read also in Quanta magazine that Eisenstein series are used to compute what we call Monster group. https://d2r55xnwy6nx47.cloudfront.net/uploads/2017/08/symmetry-algebra-and-the-monster-20170817.pdf Here is an interesting article to see the beautiful application of modular forms in astronomy https://m.facebook.com/story.php?story_fbid=795545447309716&id=247304225467177

$\endgroup$
1
  • 4
    $\begingroup$ OP asks for applications in Number Theory. Black holes, Monster group, and astronomy don't qualify. $\endgroup$ Nov 4, 2020 at 22:26

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.