Number theory

Author: Carlos Gómez Bermúdez, a professor at the University of A Coruña, published the commented works of G. Cantor and B. Riemann, and was part of the French group "réseau Cantor", responsible for translating Cantor's work into French.

David Hilbert was one of the most important mathematicians of the 20th century and one of the last to make significant contributions to very diverse branches of mathematics: invariant theory, number theory, foundations of geometry, analysis, logic and foundations of mathematics, physics...

Presented here is his famous report on the state of number theory (Zahlbericht), along with other works of his on number theory. As P. Roquette points out, "the report has been and continues to be useful as a study manual for many generations of mathematicians. But... Hilbert's truly new results only come later; they grow from the ground that the report paved, and continue (as Hasse says) "from there to unexpected heights".