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Heinrich-Wolfgang Leopoldt (22 August 1927 – 28 July 2011) was a German mathematician, who worked on algebraic number theory.
Leopoldt earned his PhD in 1954 at the University of Hamburg under Helmut Hasse with the thesis Über Einheitengruppe und Klassenzahl reeller algebraischer Zahlkörper (On group of unity and class number of real algebraic number fields). As a post-doc he was from 1956 to 1958 at the Institute for Advanced Study. In 1959 he attained his habilitation degree at the University of Erlangen and was then at the University of Tübingen. He was from 1964 ordentlicher professor at the University of Karlsruhe, where he was also director of the Mathematics Institute.
In collaboration, Leopoldt and Tomio Kubota introduced and investigated p-adic L-functions (now named after them). These functions are a component of Iwasawa theory and are a p-adic version of the Dirichlet L-functions. With Hans Zassenhaus he also worked on computer algebra and its applications in number theory.
Leopoldt with Peter Roquette also edited the collected works of his teacher Hasse (De Gruyter 1975). In 1979 he became a member of the Heidelberger Akademie der Wissenschaften.
- Kubota, Leopoldt: Eine p-adische Theorie der Zetawerte I: Einführung der p-adischen Dirichletschen L-Funktionen, Journal für Reine und Angewandte Mathematik, Bd.214/215, 1965, S.328-339, Online, Teil 2 von Leopoldt: Eine p-adische Theorie der Zetawerte 2, J.Reine Angew.Math., Bd.274/275, 1975, S.224