Eugène Cahen

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Eugène Cahen (born March 18, 1865 in Paris , † April 11, 1941 ibid) was a French mathematician who dealt with number theory.

Life

Cahen studied from 1882 at the École normal supérieure and received his doctorate from the Sorbonne in 1894 on analytical number theory ( Riemann zeta function and Dirichlet series ) (Sur la fonction ζ (s) de Riemann et sur des fonctions analogues). He was then a high school teacher in Paris (College Rollier) and examiner for the entrance exams of the 'École centrale de Paris. He also gave lectures on number theory at the Sorbonne, where he was Chargé de conférences.

Cahen worked on the French edition of the Encyclopedia of Mathematical Sciences . The Cahen constant is named after him.

The inverse Mellin transform of the gamma function (which gives the exponential function) is known as the Cahen-Mellin integral.

In 1923 he became a Knight of the Legion of Honor.

Fonts

  • Cours d'arithmétique, à l'usage de la classe de mathématiques élémentaires, first published in 1896
  • Éléments de la théorie des nombres, congruences, formes quadratiques, nombres incommensurables, questions diverses, Gauthier Villars 1900

Individual evidence

  1. ^ Salomon Wininger Great National Jewish Biography , 1926
  2. Published in the Annales Scientifique ENS, Volume 11, 1894, pp. 75-164, online
  3. Cahen, Note sur un développement des quantités numériques, qui présente quelque analogie avec celui en fractions continues, Nouvelles Annales de Mathématiques 10, 1891, pp. 508-514

Web links