Giovanni Vacca

Giovanni Enrico Eugenio Vacca ( ​​born November 18, 1872 in Genoa, † January 6, 1953 in Rome) was an Italian mathematician.

He studied mathematics in Genoa and received his PhD in 1897 at GB Negri. In November 1897 he became an assistant to Giuseppe Peano, he assisted in drafting its Formulario. He also dealt with the history of mathematics and natural sciences. In 1899 he studied in Hanover the unpublished manuscripts of Gottfried Wilhelm Leibniz, which he published in 1903 in part.

A major contribution Vaccas was that he ( named after him Vacca series) has stated with rational elements for Euler's constant in 1910 and 1926, according to Euler a second type of series development:

And comments:

He also has published in 1910 a complex iteration for the loop number:

However, it is because of the necessary high-precision arithmetic is not good for the computation of suitable, because the efficiency compared with the known Borwein iterations is significantly worse. With each iteration step, only about a half-digit is obtained. It is.