Complex continued fractions: early work of the brothers Adolf and Julius Hurwitz

DOI10.1007/s00407-014-0135-7zbMath1304.01026OpenAlexW2106171925MaRDI QIDQ461375

Jörn Steuding, Nicola M. R. Oswald

Publication date: 10 October 2014

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-014-0135-7

zbMATH Keywords

continued fractionsGaussian integersAdolf HurwitzJulius Hurwitz

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Biographies, obituaries, personalia, bibliographies (01A70) History of number theory (11-03) Continued fractions (11A55) Algebraic numbers; rings of algebraic integers (11R04) History of mathematics in the 19th century (01A55)

Related Items (9)

Aspects of Zeta-Function Theory in the Mathematical Works of Adolf Hurwitz ⋮ The unknown Hurwitz ⋮ Calculations of the Invariant Measure for Hurwitz Continued Fractions ⋮ An unpublished paper `Über einige durch unendliche Reihen definierte Funktionen eines complexen Argumentes' by Adolf Hurwitz ⋮ The recognition and the constitution of the theorems of closure ⋮ Adolf Hurwitz folds paper ⋮ Hurwitz and the origins of random matrix theory in mathematics ⋮ PELL’S EQUATIONS IN GAUSSIAN INTEGERS ⋮ Historical Face of Number Theory(ists) at the Turn of the 19th Century

Cites Work

• Cantor and the French. Mathematics, philosophy and the infinite. Transl. from the French by Klaus Volkert
• Felix Klein, Adolf Hurwitz, and the ``Jewish question in German academia
• A complex continued fraction transformation and its ergodic properties
• On a family of continued fraction transformations and their ergodic properties
• Ergodic theory for complex continued fractions
• Metrical theory for a class of continued fraction transformations and their natural extensions
• Wallis's product, Brouncker's continued fraction, and Leibniz's series
• Continued fractions with applications
• Diophantine approximation of complex numbers
• Quadratische Zahlkörper mit Euklidischem Algorithmus
• Continued fractions and the origins of the Perron-Frobenius theorem
• "Jewish Mathematics" at Gottingen in the Era of Felix Klein
• Mathematics Without Borders
• Catching Proteus: the collaborations of Wallis and Brounker. I. Squaring the circle
• COMPLEX NUMBERS WITH BOUNDED PARTIAL QUOTIENTS
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