Algebraic number theory is a foundational branch of mathematics that investigates the properties of algebraic numbers and their relationships through the lens of field extensions and rings of integers ...
Les systèmes canoniques de numération peuvent être considérés comme des généralisations naturelles de la numération classique des entiers. Dans la présente note, une modification d'un algorithme de B.
Number theory, the study of the properties of positive integers, is perhaps the purest form of mathematics. At first sight, it may seem far too abstract to apply to the natural world. In fact, the ...
On his way to winning a Fields Medal, James Maynard has cut a path through simple-sounding questions about prime numbers that have stumped mathematicians for centuries. Number theorists, however, ...
Jonathan Borwein (Jon) receives funding from ARC. David H. Bailey receives no funding from Australian sources. In recent weeks, two truly major results have been announced in the realm of (analytic) ...
The number 1729 may look ordinary, but a casual remark by Srinivasa Ramanujan turned it into a mathematical legend, ...
And yet, again and again, number theory finds unexpected applications in science and engineering, from leaf angles that (almost) universally follow the Fibonacci sequence, to modern encryption ...