theory of numbers

For more information on congruent numbers, congrua, and the Birch and Swinnerton-Dyer conjecture, check out the show notes for our episode of My Favorite Theorem with Matilde Lalín or History of the Theory of Numbers Volume II by Leonard Eugene Dickson.

Nearly four years after Shinichi Mochizuki unveiled an imposing set of papers that could revolutionize the theory of numbers, other mathematicians have yet to understand his work or agree on its validity — although they have made modest progress.

Relations of this sort, which the discussions of the number concept by Dedekind, Cantor, Peano, and Russell have recently brought to light—such relations, I say, constitute what truly justified Gauss in calling the theory of numbers a "divine science."

Theory of numbers, or arithmetic.

No, the theory of functions, the theory of numbers, group theory, have a significance which no mathematician would consent to measure in terms of the present applicability or non-applicability of these theories in physical science?