What is...analytic number theory?

Goal.
I would like to tell you a bit about my favorite subfields of mathematics (in no particular order), highlighting key theorems, ideas or concepts and why I like them so much. This is a variation of “My favorite theorems” and I park the videos on that list as well.
This time.
What is...analytic number theory? Or: Subfields of mathematics 4.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
www.dtubbenhaue...
TeX files for the presentation.
github.com/dtu...
Thumbnail.
Picture from the talk • Daniel Tubbenhauer - G...
Main discussion.
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
Background material.
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o....
I would like to tell you a bit about my favorite subfields of mathematics (in no particular order), highlighting key theorems, ideas or concepts and why I like them so much. This is a variation of “My favorite theorems” and I park the videos on that list as well.
This time.
What is...analytic number theory? Or: Subfields of mathematics 4.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
www.dtubbenhaue...
TeX files for the presentation.
github.com/dtu...
Thumbnail.
Picture from the talk • Daniel Tubbenhauer - G...
Main discussion.
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
Background material.
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
Computer talk.
doc.sagemath.o...
wiki.sagemath....
doc.sagemath.o...
Pictures used.
Two pictures from the talk • Daniel Tubbenhauer - G...
Two more pictures from the same talk
Ditto, two more pictures from the same talk
Picture from en.wikipedia.o...
en.wikipedia.o...
UA-cam and co.
• Analytic Number Theory...
• Analytic number theory...
• Lecture 1, Analytic Nu...
• Daniel Tubbenhauer - G... (Shameful selfpromotion)
#numbertheory
#analysis
#mathematicswiki/Dirichlet%27s_theorem_on_arithmetic_progressions
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
Computer talk.
doc.sagemath.o...
wiki.sagemath....
doc.sagemath.o...
Pictures used.
Two pictures from the talk • Daniel Tubbenhauer - G...
Two more pictures from the same talk
Ditto, two more pictures from the same talk
Picture from en.wikipedia.o...
en.wikipedia.o...
UA-cam and co.
• Analytic Number Theory...
• Analytic number theory...
• Lecture 1, Analytic Nu...
• Daniel Tubbenhauer - G... (Shameful selfpromotion)
#numbertheory
#analysis
#mathematics

[@Sidionian]

Nice little video...Can you please include Topos Theory in this playlist? A nice 15 minute video will do, provided you won't be including it in your Alg. Geom. playlist. Thanks for your consideration and keep up the great work!

[@VisualMath]

Yes, I will cover topos theory in this series. I hope you will like it :-)

[@hassanalihusseini1717]

Thank you for the video!

[@VisualMath]

You are very welcome, my friend ☺