How do Jacobi sums work with concrete examples?

[johnkubik]

Would someone be kind enough to explain Jacobi sums in a simple manner using actual numbers. I have read over the math jingo 100 times and have no clue what it actually does.

Thanks!

Edit: Here is a link to the wiki of the Jacobi sums. http://en.wikipedia.org/wiki/Jacobi_sum

 

[DonAntonio]

Would someone be kind enough to explain Jacobi sums in a simple manner using actual numbers. I have read over the math jingo 100 times and have no clue what it actually does.

Thanks!

Edit: Here is a link to the wiki of the Jacobi sums. http://en.wikipedia.org/wiki/Jacobi_sum

For you to actually understand basically this stuff it is important you've already taken a basic course in

group theory and some basic analytic number theory. If this is so, then you should be able to point exactly at where

you're having problems understanding these things, and not ask in general for an explanation.

DonAntonio

 

[johnkubik]

Yeah, not really sure where to even start. Would you be kind enough to just run through an example of it with some actual numbers?

Thanks!

 

[DonAntonio]

Yeah, not really sure where to even start. Would you be kind enough to just run through an example of it with some actual numbers?

Thanks!

No unless you understand how are Dirichlet characters defined and for that you need a basic grasp of group theory...and then you

alone can write down lots of numerical examples!

DonAntonio