Often mathematicians refer to a "beautiful" result or a "beautiful" proof. In this special lecture, Enrico Bombieri, Professor Emeritus in the School of Mathematics, addresses the question, "What is beauty in mathematics?"

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Enrico Bombieri

A `toy model' for studying the probabilistic distribution of nodal curves of eigenfunctions of linear operators arises from the Laplacian on the standard real 2-torus. Here the eigenvalues are associate to integers m that are sum of two squares...

The Davenport-Heilbronn function (introduced by Titchmarsh) is a linear combination of the two L-functions with a complex character mod 5, with a functional equation of L-function type but for which the analogue of the Riemann hypothesis fails. In...

In this lecture, Enrico Bombieri, IBM von Neumann Professor in the School of Mathematics, attempts to give an idea of the numerous different notions of truth in mathematics. Using accessible examples, he explains the difference between truth, proof...

This lecture by Enrico Bombieri, IBM von Neumann Professor in the School of Mathematics, explores how mathematics has arrived at its present pragmatic view of infinity and some of the counterintuitive paradoxes, as well as some of the positive...