Just a short announcement that next quarter I will be continuing the recently concluded 246A complex analysis class as 246B. Topics I plan to cover:

- Schwartz-Christoffel transformations and the uniformisation theorem (using the remainder of the 246A notes);
- Jensen’s formula and factorisation theorems (particularly Weierstrass and Hadamard); the Gamma function;
- Connections with the Fourier transform on the real line;
- Elliptic functions and their relatives;
- (if time permits) the Riemann zeta function and the prime number theorem.

Notes for the later material will appear on this blog in due course.

## 11 comments

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11 December, 2020 at 4:03 pm

raian anantharamanThanks for this complex 2nd

It seems that the Paley..Weiner .theorem in the complex plane Cis included. also

may be Stein s generalizarion?

14 December, 2020 at 4:28 pm

EdgawlietVery good. Thank you Professor Tao. I hope I could enrol in your online courses in the future when I have enough knowledge.

16 December, 2020 at 6:47 am

Date of startProf. Tao can you please tell us the date when the course 246B will begin ?

27 December, 2020 at 7:21 am

LCI understand the first lecture is Monday January 4th

https://ccle.ucla.edu/mod/page/view.php?id=3434115

at 10-10:50am PT, but it would be cool to have a confirmation.

16 December, 2020 at 8:58 am

AnonymousYou can find all your answer from this link https://ccle.ucla.edu/course/view/21W-MATH246B-1

20 December, 2020 at 12:13 pm

paul millerThank you. Will you be making the lectures publicly available? I was inspired by your 246A lectures and would love to be able to hear 246B if possible. regards, Paul Miller

12 January, 2021 at 11:41 am

AnonymousDear Prof. Tao:

Could you teach 246C in the spring? It will be nice to complete the sequence. When things go back to normal next year, non-UCLA students won’t be able to attend your classes.

15 February, 2021 at 10:05 am

AnonymousIs there no class on Feb 15 due to Presidents’ Day holiday?

22 March, 2021 at 4:11 pm

h0saneWill the notes for this be available online after?

23 March, 2021 at 7:10 pm

AnonymousIt is already posted.

23 March, 2021 at 7:46 pm

h0sanethank you so much!