Alan Turing and Number Theory

author: Yuri Matiyasevich, St.Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences
published: July 10, 2012,   recorded: June 2012,   views: 11738


Related Open Educational Resources

Related content

Report a problem or upload files

If you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
Lecture popularity: You need to login to cast your vote.


Beside well-known revolutionary contributions, Alan Turing had a number of significant results in "traditional" mathematics. In particular he was very much interested in the famous Riemann Hypothesis. This hypothesis, stated by Berhard Riemann in 1859 and included by David Hilbert in his 8th problem in 1990, still remains open, being now one of the Millennium Problems. The Riemann Hypothesis predicts positions of zeros of so called zeta function, and Alan Turing developed a rigorous method for verifying the Hypothesis for the initial zeros. He also invented a machine for calculating the values of the zeta function. In contrast to celebrated imaginable Turing machines, Turing started to implement this machine but never finished because of the War.

See Also:

Download slides icon Download slides: turing100_matiyasevich_number_theory_01.pdf (5.5┬áMB)

Help icon Streaming Video Help

Link this page

Would you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !

Reviews and comments:

Comment1 ML, May 23, 2017 at 3:58 a.m.:

Thank you very much !!!

Comment2 Faith Saha, December 17, 2021 at 3:37 a.m.:

Sad to hear that it never finished because of the War.

Comment3 Faith Kol, December 17, 2021 at 3:38 a.m.:

Sad to hear that it never finished because of the War.

Write your own review or comment:

make sure you have javascript enabled or clear this field: