Introduction to number theory lecture 47. The prime number theorem

[@johnchessant3012]

This seems like a difficult course, in that it's covering what could easily be 3 semesters of material. I guess the intention is to introduce students to these concepts so they can read more on their own? What are the hw and exams like?

[@captainsnake8515]

I was thinking the same thing, especially since it’s supposed to be a 100 level course. Definitely seems like the students have their work cut out for them.

[@zachteitler9622]

@@captainsnake8515 Berkeley uses a system that 0xx are undergraduate lower-division courses, 1xx are upper-division courses, 2xx are graduate courses.

[@mastershooter64]

will you make videos on multivariable complex analysis? (aka functions of several complex variables?)

[@ethanjahan780]

Interesting, it still seems mysterious to me why there exists an exact formula of pi(x) expressed by summing over zeroes of the zeta function

[@nonesense7423]

i think your sweater is cute!

[@migarsormrapophis2755]

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[@CodingDragon04]

yeeeeee

[@captainsnake8515]

The proper reaction to seeing analytic number theory

[@umotoyu6435]

yeeeeeeeeeeeeeeeeeeeeeeee

[@migarsormrapophis2755]

@@umotoyu6435 yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

[@AndGranville]

It would be news to Riemann that he used zeta's(s)/zeta(s) ! (He worked with log zeta(s)). There are a lot of opinions here from someone who clearly has not really read the literature. It is disrespectful to the subject to explain things via Newman's proof -- it does not do justice to the beauty of the ideas of de la VP and Hadamard at all -- it is just fun that Newman can prove it so quickly but it is not something to show serious students that you hope might go on to bigger and better things. Not impressed. Especially with mistakes like claiming the absolute value of -1/2^s is 1/2^s....

[@user-lp8vy4vn1t]

chill bro... this man won a fields medal but sure, random snarky guy in the comments knows better