Une lettre d'Henri Lebesgue \`a \'Elie Cartan

TL;DR

This paper presents historical letters from Lebesgue and Montel to Cartan, discussing mathematical and academic contexts from the early 1930s, shedding light on their relationships and scientific environment.

Contribution

It introduces previously unpublished letters from Lebesgue and Montel, providing historical insights into their interactions and the mathematical community of the time.

Findings

Letters reveal personal and professional relationships among mathematicians.

Contextual discussion of mathematical developments in the 1930s.

Historical documentation of academic elections and collaborations.

Abstract

We publish a letter from Lebesgue to Cartan and a letter from Montel to Cartan, dated 1933--1934, about Gaston Julia, Paul Montel, and an election at the Paris Academy of Sciences. We discuss the context and the mathematics. The two letters have been discovered between the publication of the book "Fatou, Julia, Montel, le Grand prix des sciences math\'ematiques de 1918 et apr\`es" (Springer 2009) and the publication of the English translation (Springer 2011). They have been included in the translation. This paper is dedicated to the readers of the French version.