Introduction to number theory lecture 6. Multiplicative functions.

[@Luiz-rt8eo]

I'm not even from Berkeley and this must be one of the best math courses I've had
Thank you!

[@junghyunkim2247]

I love how you describe some things as rather something "stupid" as thou is what builds the beauty of mathematics.

[@bilalaytekin6282]

There is a slight mistake at 24:23. Both for the equality at the bottom of the page and also for the product of the two parentheses to come out 1, the denominator should be 2^(a+1) instead of 2^(a-1).
Thank you for the great content!

[@1manasharma]

thanks! could you help me understand why b = 1 implies we can't have any other primes dividing it?

[@olivergray8534]

​@@1manasharmabecause that would make the sum of the divisors even greater, but with a power of 2 and one other prime the sum is already 2n.

[@durbharavindra]

Super explanation..thank you sir

[@SaveSoilSaveSoil]

It would be nice if Ramanujan had given some kind of motivation for his "observations" (other than thoughts of his Devi, of course).

[@chaoshengzhe]

Probably this interests you, from another Fields medalist, Prof. Timothy Gowers, czcams.com/video/PHkYqPX3Je4/video.html

[@mathismind]

Thanks!

[@alan2here]

divisors(10) * divisors(6) = divisors(60)
provided 10 and 6 are relatively prime
useful :)
d(power N of prime) = N + 1

[@user-so7wp3jt2o]

Thanks

[@caspermadlener4191]

Somebody needs to develop a crypto that is mined by doing calculations in number theory.

[@migarsormrapophis2755]

yeeeeeeeeeeeeeee

[@giuseppegaleotti9149]

I would like to remind that, even if it's not so widely used, the pronunciation of μ is mi(pronounced like "me") not mu, same for ni