Why exp(pi*sqrt(163)) is almost an integer?

Add to your list(s) Download to your calendar using vCal

• Dr. Rong Zhou
• Friday 09 February 2024, 18:00-19:00
• MR2 in the CMS.

If you have a question about this talk, please contact zl474.

If you type exp(pi*sqrt(163)) into a normal calculator, it is likely that it will spit out the integer 262,537,412,640,768,744. It turns out, this is not quite right, but you need to go to 12 decimal places to distinguish these two numbers. In this talk, I will discuss the explanation behind this phenomenon, which has its roots in theory of Complex Multipication, a subject which touches on some beautiful ideas in analysis, geometry and number theory.

This talk is part of the The Archimedeans series.

This talk is included in these lists:

• MR2 in the CMS
• The Archimedeans
• ob366-ai4er

Note that ex-directory lists are not shown.