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Bor, Harald

Harald August Bohr ( Dat. Harald August Bohr ; April 22, 1887 , Copenhagen - January 22, 1951 ) - Danish mathematician and soccer player . Silver medalist of the 1908 Olympics . Known for his work in the field of function theory. Brother of the famous physicist Niels Bohr .

Harald August Bor
Harald august bohr
Date of Birth
Place of BirthCopenhagen
Date of death
Place of death
A country
Scientific fieldmaths
Place of work
  • Copenhagen Polytechnic Institute
  • University of Copenhagen
Alma materUniversity of Copenhagen
Awards and prizes

Olympic champion

Olympic awards
SilverLondon 1908Football

Content

Biography

Harald Bohr was born in Copenhagen in 1887 in the family of Christian Bohr and Ellen Adler (1860-1930), professor of physiology at the University of Copenhagen, daughter of the influential and very wealthy Jewish banker and liberal parliamentarian David Baruch Adler (1826-1878, Danish ) and Jenny Rafael (1830-1902) from the British Jewish banking dynasty Raphael Raphael & sons [6] . While studying at the University of Copenhagen, he played as a midfielder for the capital 's AB team . He was included in the very first composition of the national team , which only in the final of the 1908 Olympic tournament lost to the British. He played for the national team 4 matches, including the very first in its history - on October 19, 1908 against the second team of France in the framework of the 1908 Olympics, which ended with the victory of the Danes with a score of 9: 0. Harald Bohr scored both of his goals in this meeting as part of the national team.

After graduating from the university in 1910 and defending a doctoral dissertation, he decided to focus on scientific activity. In 1915 - 1930 he worked as a professor at the Copenhagen Polytechnic Institute , from 1930 - at the University of Copenhagen , while also holding the post of director of the Mathematical Institute at the university. In 1943 , during the Nazi occupation of Denmark, he left his homeland and spent two years in Sweden .

Scientific activity

The scientific works of Harald Bohr relate mainly to the theory of functions . He studied some questions of the theory of Dirichlet series : applied summability to them according to Cesaro; constructed the distribution of the values ​​of the functions given by these series; developed a method combining arithmetic, geometric and functional-theoretical constructions. Work in this direction led to the construction of the theory of almost periodic functions in 1924-1926. Together with the Göttingen mathematician Edmund Landau, he constructed the distribution of the zeros of the Riemann zeta functions (the so-called Bohr – Landau theorem ).

In 1934, Bohr, using complex analysis, proved the theorem that for real numbersθone,...,θn,αone,...,αn {\ displaystyle \ theta _ {1}, \ dots, \ theta _ {n}, \ alpha _ {1}, \ dots, \ alpha _ {n}}   (such thatθone,...,θn {\ displaystyle \ theta _ {1}, \ dots, \ theta _ {n}}   are linearly independent modulo 1, i.e. their linear combination is never an integer) and any real numberε>0 {\ displaystyle \ varepsilon> 0}   arbitrarily large real numbers existt {\ displaystyle t}   such that for some integerspone,...,pn {\ displaystyle p_ {1}, \ dots, p_ {n}}   done|tθk-αk-pk|<ε {\ displaystyle | t \ theta _ {k} - \ alpha _ {k} -p_ {k} | <\ varepsilon}   fork=one,...,n {\ displaystyle k = 1, \ dots, n}   . [7]

Harald Bohr is the name for uniform almost periodic functions.

Literature

  • Obituary in The Times
  • S. Bochner. Harald Bohr // Bull. Amer. Math. Soc. Volume 58, Number 1 (1952), 72-75.
  • Harald August Bor // A.N. Bogolyubov. Mathematics and Mechanics: A Biographical Reference. - Kiev: Naukova Dumka, 1983 .-- S. 60.

Notes

  1. ↑ German National Library , Berlin State Library , Bavarian State Library , etc. Record # 118910132 // General Normative Control (GND) - 2012—2016.
    <a href=" https://wikidata.org/wiki/Track:Q27302 "> </a> <a href=" https://wikidata.org/wiki/Track:Q304037 "> </a> <a href = " https://wikidata.org/wiki/Track:Q256507 "> </a> <a href=" https://wikidata.org/wiki/Track:Q170109 "> </a> <a href = " https://wikidata.org/wiki/Track:Q36578 "> </a>
  2. ↑ 1 2 Archive for the history of mathematics MacTyutor
    <a href=" https://wikidata.org/wiki/Track:Q547473 "> </a> <a href=" https://wikidata.org/wiki/Track:P1563 "> </a>
  3. ↑ 1 2 SNAC - 2010.
    <a href=" https://wikidata.org/wiki/Track:P3430 "> </a> <a href=" https://wikidata.org/wiki/Track:Q29861311 "> </a>
  4. ↑ Bor Harald // Great Soviet Encyclopedia : [in 30 vol.] / Ed. A. M. Prokhorov - 3rd ed. - M .: Soviet Encyclopedia , 1969.
    <a href=" https://wikidata.org/wiki/Track:Q17378135 "> </a>
  5. ↑ LIBRIS - 2012.
    <a href=" https://wikidata.org/wiki/Track:P1182 "> </a> <a href=" https://wikidata.org/wiki/Track:Q1798125 "> </a> <a href = " https://wikidata.org/wiki/Track:P5587 "> </a> <a href=" https://wikidata.org/wiki/Track:P906 "> </a>
  6. ↑ D. Danin . Proceedings and days of Niels Bohr. - M.: Knowledge, 1985 .-- S. 8.
  7. ↑ C. Chandrasekharan. Introduction to analytic number theory . - World, 1968.

Links

  • JJ O'Connor, EF Robertson. Harald August Bohr // MacTutor History of Mathematics archive
  • Profile on Danish National Football Team website
  • Bohr's bibliography on the website of the University of Copenhagen
Source - https://ru.wikipedia.org/w/index.php?title=Bar,_Harald&oldid=100214539


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