Viggo Brun (sometimes Vigo Brun , Nor. Viggo Brun , 1885-1978) is a Norwegian mathematician . Member of the Norwegian Academy of Sciences , the Royal Norwegian Scientific Society ( Det Kongelige Norske Videnskabers Selskab , elected its president in 1946 [3] ), the Finnish Academy of Sciences, and several other societies and academies. Honorary Doctor of the University of Hamburg . The works are mainly in the field of number theory , combinatorics and the history of mathematics .
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| Scientific field | maths |
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| Awards and prizes | [d] ( 1939 ) [d] ( 1958 ) |
Biography
Viggo was the youngest of ten children of the Norwegian artillery captain. He graduated from the University of Oslo , after which he taught at the University of Gottingen (1910-1923). In 1923 he returned to Norway and became a professor at the Norwegian Institute of Technology in Trondheim .
In 1946 - professor of mathematics at the University of Oslo. Among his students is Atle Selberg , who continued his research in number theory. At the age of 70 (1955), Brun retired.
Scientific activity
In 1915, he proposed the " " (the development of the " Sieve of Eratosthenes ") for the study of prime numbers [4] . Using this method, Brun was able to advance in the field of proof of the Goldbach hypothesis . In particular, he proved:
- Any sufficiently large even number is representable as a sum
, where each term contains at most 9 prime factors.
- A series of inverse values for twin pairs converges:
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- Row sum called the “ Brun constant ” for the simple twin.
- He formulated the first version of the Brun – Tichmarsh theorem .
Brun investigated multidimensional continuous fractions and their applications in music theory . A number of his books and articles are devoted to the history of mathematics. In combinatorics, he generalized the definition of the number of placements .
Major works
- Über das Goldbachsche Gesetz und die Anzahl der Primzahlpaare, Archiv for Math. og Naturvid. B, Band 34, 1915, Nr. 8. (German)
- Bull. Sci. Math., Band 43, 1919, S. 100-104, 124-128 (fr.) On the convergence of a series of inverse simple twins.
- Le Crible d'Eratosthène et le Théorème de Goldbach. CR Acad. Sci. Paris, 168, 1919, 544-546. Reprint :. London: Nabu Press, 2011, ISBN 978-1246733556 . 42 p.
- Euclidean algorithms and musical theory, L'enseignement mathematique, Vol. 10, 1964, pp. 125–137. (eng.)
Literature
- Scriba CJ Viggo Brun, Historia Mathematica, 7 (1980) 1-6.
Links
- John J. O'Connor and Edmund F. Robertson . Brun, Viggo (English) - biography in the MacTutor archive.
- Vigo Brun on persons-info.
Notes
- ↑ German National Library , Berlin State Library , Bavarian State Library , etc. Record # 117708739 // General regulatory control (GND) - 2012—2016.
- ↑ 1 2 Archive for the history of mathematics MacTyutor
- ↑ Bratberg, Terje (1996), "Vitenskapsselskapet", in Arntzen, Jon Gunnar, Trondheim byleksikon , Oslo: Kunnskapsforlaget, pp. 599-600, ISBN 82-573-0642-8
- ↑ Gelfond A.O., Linnik Yu.V. Elementary methods in analytic number theory, chapter 5. M., 1962.