What is...the Cantor sequence?
316 بار بازدید -
3 ماه پیش
-
Goal.
I would like to
Goal.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What is...the Cantor sequence? Or: 101000101...
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
www.dtubbenhauer.com/youtube.html
TeX files for the presentation.
github.com/dtubbenhauer/My-TeX-files
Thumbnail.
Picture from arxiv.org/abs/2405.16786
Picture from www.dtubbenhauer.com/talks/2024-06-beijing.pdf
Main discussion.
oeis.org/A292686
en.wikipedia.org/wiki/Cantor_set
Background material.
encyclopediaofmath.org/wiki/Mahler_method
link.springer.com/book/10.1007/BFb0093672
en.wikipedia.org/wiki/Transcendental_number_theory
en.wikipedia.org/wiki/Algebraic_number
en.wikipedia.org/wiki/Transcendental_number
en.wikipedia.org/wiki/Transcendental_number#Number…
en.wikipedia.org/wiki/Liouville_number
en.wikipedia.org/wiki/Hilbert%27s_seventh_problem
en.wikipedia.org/wiki/Gelfond%E2%80%93Schneider_th…
en.wikipedia.org/wiki/Baker%27s_theorem
en.wikipedia.org/wiki/Schanuel%27s_conjecture
en.wikipedia.org/wiki/Four_exponentials_conjecture
en.wikipedia.org/wiki/Six_exponentials_theorem
en.wikipedia.org/wiki/Lindemann%E2%80%93Weierstras…
math.stackexchange.com/questions/1270584
en.wikipedia.org/wiki/Generating_function
en.wikipedia.org/wiki/Fractal
Computer talk.
mathematica.stackexchange.com/questions/167184/che…
Pictures used.
en.wikipedia.org/wiki/Cantor_set#/media/File:Canto…
en.wikipedia.org/wiki/Cantor_set#/media/File:Canto…
Picture from www.dtubbenhauer.com/talks/2024-06-beijing.pdf
Another picture from www.dtubbenhauer.com/talks/2024-06-beijing.pdf
More pictures from www.dtubbenhauer.com/talks/2024-06-beijing.pdf
mathlandscape.com/wp-content/uploads/2023/08/canto…
m.media-amazon.com/images/I/51EluqO87WL._SL1360_.j…
media.springernature.com/w158/springer-static/cove…
YouTube and co.
• What are...Mahler functions? (Shameful selfpromotion)
• Boris Adamczewski: Furstenberg's conj...
• Transcendental Numbers - Numberphile
#analysis
#numbertheory
#mathematics
3 ماه پیش
در تاریخ 1403/03/26 منتشر شده
است.
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