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.
http://www.dtubbenhauer.com/youtube.html
TeX files for the presentation.
https://github.com/dtubbenhauer/My-Te...
Thumbnail.
Picture from the talk • Daniel Tubbenhauer - Growth and tensor pro...
Main discussion.
https://en.wikipedia.org/wiki/Analyti...
https://en.wikipedia.org/wiki/Prime_N...
https://en.wikipedia.org/wiki/Riemann...
Background material.
https://en.wikipedia.org/wiki/Number_...
https://en.wikipedia.org/wiki/Probabi...
https://en.wikipedia.org/wiki/Mathema...
https://en.wikipedia.org/wiki/Dirichl...
https://en.wikipedia.org/wiki/Riemann...
https://en.wikipedia.org/wiki/Multipl...
https://en.wikipedia.org/wiki/Additiv...
https://en.wikipedia.org/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.
http://www.dtubbenhauer.com/youtube.html
TeX files for the presentation.
https://github.com/dtubbenhauer/My-Te...
Thumbnail.
Picture from the talk • Daniel Tubbenhauer - Growth and tensor pro...
Main discussion.
https://en.wikipedia.org/wiki/Analyti...
https://en.wikipedia.org/wiki/Prime_N...
https://en.wikipedia.org/wiki/Riemann...
Background material.
https://en.wikipedia.org/wiki/Number_...
https://en.wikipedia.org/wiki/Probabi...
https://en.wikipedia.org/wiki/Mathema...
https://en.wikipedia.org/wiki/Dirichl...
https://en.wikipedia.org/wiki/Riemann...
https://en.wikipedia.org/wiki/Multipl...
https://en.wikipedia.org/wiki/Additiv...
https://en.wikipedia.org/wiki/Dirichl...
https://en.wikipedia.org/wiki/Waring%...
https://en.wikipedia.org/wiki/Logarit...
https://en.wikipedia.org/wiki/Hardy%E...
https://en.wikipedia.org/wiki/Sieve_t...
Computer talk.
https://doc.sagemath.org/html/en/tuto...
https://wiki.sagemath.org/quickref?ac...
https://doc.sagemath.org/html/en/prep...
Pictures used.
Two pictures from the talk • Daniel Tubbenhauer - Growth and tensor pro...
Two more pictures from the same talk
Ditto, two more pictures from the same talk
Picture from https://en.wikipedia.org/wiki/Dirichl...
https://en.wikipedia.org/wiki/L-funct...
YouTube and co.
• Analytic Number Theory: Introduction to an...
• Analytic number theory: introduction
• Lecture 1, Analytic Number Theory Rutgers ...
• Daniel Tubbenhauer - Growth and tensor pro... (Shameful selfpromotion)
#numbertheory
#analysis
#mathematicswiki/Dirichlet%27s_theorem_on_arithmetic_progressions
https://en.wikipedia.org/wiki/Waring%...
https://en.wikipedia.org/wiki/Logarit...
https://en.wikipedia.org/wiki/Hardy%E...
https://en.wikipedia.org/wiki/Sieve_t...
Computer talk.
https://doc.sagemath.org/html/en/tuto...
https://wiki.sagemath.org/quickref?ac...
https://doc.sagemath.org/html/en/prep...
Pictures used.
Two pictures from the talk • Daniel Tubbenhauer - Growth and tensor pro...
Two more pictures from the same talk
Ditto, two more pictures from the same talk
Picture from https://en.wikipedia.org/wiki/Dirichl...
https://en.wikipedia.org/wiki/L-funct...
YouTube and co.
• Analytic Number Theory: Introduction to an...
• Analytic number theory: introduction
• Lecture 1, Analytic Number Theory Rutgers ...
• Daniel Tubbenhauer - Growth and tensor pro... (Shameful selfpromotion)
#numbertheory
#analysis
#mathematics