Article ID: CBB001202204

Complex Continued Fractions: Early Work of the Brothers Adolf and Julius Hurwitz (2014)

unapi

The two brothers Julius and Adolf Hurwitz were born in the middle of the nineteenth century in a small town near Hanover (not far from Göttingen). Already during their schooldays, the two of them became acquainted with mathematical problems and both started to study mathematics, but while the younger brother Adolf turned out to be extremely successful in his research, the elder brother and his work seem to be almost forgotten. This paper examines the lives and works of the two brothers with particular emphasis on the contributions of Julius Hurwitz, and the subsequent reception of their research. It deals with the development of an arithmetical theory for complex continued fractions by Julius and Adolf Hurwitz around 1890 and its rediscovery in the twentieth century.

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Authors & Contributors
Petsche, Hans-Joachim
Oswald, Nicola M. R.
Tiggelen, Brigitte Von
Schnyder, Cédric
Noltie, H. J.
Hollier, John
Concepts
Biographies
Mathematics
Scientific families
Linguistics; philology
Physics
Equations and formulae
Time Periods
19th century
20th century, early
18th century
20th century, late
Places
Germany
Hanover (Germany)
Scotland
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