Joseph Ser

Joseph Ser ( 1875 - April 7, 1962 in Fanjeaux ) was a French mathematician. His father was Antoine Louis Ser and his mother Marie Elisabeth Froment (1847-1932). He published 45 works between 1900 and 1954, four of which were monographs that he published in Paris with Gauthier-Villars . Essentially, he worked in the field of number theory and infinite series . He died after 1954, the exact year is not known.

Ser achieved important results in the field of the faculty series ; his series representation of Euler's constants with rational terms is very well known . This was used in 1926 by Paul Émile Appell (1855-1930) in a failed attempt to prove the irrationality of Euler's constant.

He had a daughter Elisabeth Ser (1906–1960).

Fonts

• Sur une expression de la fonction de Riemann ${\displaystyle \zeta (s)}$ . Comptes rendus hebdomadaires des séances de l'Académie des Sciences. Série 2. [Paris] vol. 182 (1926), pp. 1075-1077. See also the presentation: http://zbmath.org/?q=an:52.0338.02

literature

• Ayoub, Raymond G .: Partial triumph or total failure? The Mathematical Intelligencer, vol. 7, no. 2, 1985, pp. 55-58. Here on pp. 57-58 (4th Appell and the Irrationality of Euler's Constant) the error of Appell is set out in detail.

Individual evidence

1. ↑ See [1]
2. ↑ See [2]
3. ↑ See [3]