Bibliography of Harald Bohr

Bohr's papers are published in one of the languages: German, English, Danish, French and Italian. Except for one monograph all his scientific publications were articles (140 in total). The exception is the monograph: Fastperiodische Funktionen, Springer-Verlag, Berlin 1932.



The bibliography in the Collected Works

An almost complete list of Bohr's publications alone or in collaboration with others is in the end of volume III of the Collected Works. Not included in this list are four small article in Italian, a solution to a problem, his autobiography written in connection with his doctoral defense and a newspaper article. These publications are listed below.



Bohr's publications divided into subjects

Bohr's publications are divided into subjects A through H in the Collected Works. Below is given a list with the number of publications in each of these subjects and some further subjects for the publications not included in the Collected Works. The list includes the number of work which has been reprinted and where this has been done.

Subject Number of publications Reprinted in (number which is reprinted there)
A. Dirichlet series 22 Collected Works I (22)
B. The Riemann zeta function 26 Collected Works I (26)
C. Almost periodic functions 58 Collected Works II (46) and Collected Works III (8)
D. Linear congruences and Diophantine approximations 11 Collected Works III (11)
E. Function theory 15 Collected Works III (15)
F. Addition of convex curves 3 Collected Works III (3)
G. Other scientific articles 5 Collected Works III (5)
H. Encyclopædia article 1 Collected Works III (1)
Textbooks 16
Elementary and pedagogical mathematical works 16 Matematiske arbejder (9)
Obituaries 8
Autobiographies 2 Matematiske arbejder (1)
Newspaper article 1

NB: Matematiske arbejder, published in 1987, contains reprints of some of Bohr's pedagogical and elementary works, which was not included in the Collected Works.



Publications not included in the bibliography of the Collected Works

Bohr, Harald: Una generalizzazione della teoria delle serie di Fourier. Bollettino della Unione Matematica Italiana 3 (1924), pp. 220-224.
An Italian summary of the first part of Bohr's first major article on almost periodic functions (Fastperiodische Funktionen, I) in Acta Mathematica.

Bohr, Harald: Una generalizzazione della teoria delle serie di Fourier. (Continuazione e fine). Bollettino della Unione Matematica Italiana 4 (1925), pp. 27-29.
An Italian summary of the second part of Bohr's first major article on almost periodic functions (Fastperiodische Funktionen, I) in Acta Mathematica.

Bohr, Harald: L'approssimazione delle funzioni quasi periodiche. Bollettino della Unione Matematica Italiana 4 (1925), pp. 211-215.
An Italian summary of Bohr's second major article on almost periodic functions (Fastperiodische Funktionen, II) in Acta Mathematica.

Bohr, Harald: Zur Theorie der fastperiodischen Funktionen, III. (Acta Mathem., T. 47). Bollettino della Unione Matematica Italiana 5 (1926), pp. 137-142.
An Italian summary of Bohr's third major article on almost periodic functions (Fastperiodische Funktionen, III) in Acta Mathematica.

Bohr, Harald: Løste Opgaver. Nr. 380 [Solved problems, nr. 380]. Nyt Tidsskrift for Matematik, Afdeling A 16 (1905), p. 37.

Bohr, Harald: [Short autobiography] Festskrift udgivet af Kjøbenhavns Universitet i Anledning af Universitetets Aarsfest, November 1910. J. H. Schultz A/S, Kjøbenhavn 1910, pp. 51-53.
A short autobiography in Danish. It was a tradition that everybody who got the doctoral degree wrote a short autobiography in the festschrift of the university for that year.

Bohr, Harald: "Ny Matematik" i Tyskland ["New mathematics" in Germany]. Berlingske Aften den 1. maj 1934, p. 9
A newspaper chronic in Danish. This was Bohr's reaction to Bieberbach's idea of a special German way of doing mathematics, which became the starting point of "Deutsche Mathematik" - Aryan in opposition to Jewish mathematics. Bohr's article was based on the summary of Bieberbach's speech given in: Neue Mathematik, Deutsche Zukunft, 8 April 1934, p. 15. Bieberbach responded in: Die Kunst des Zitierens. Ein offerener Brief an Herrn Harald Bohr in København. [The art of quoting. An open letter to Mr. Harald Bohr in Copenhagen] Jahresbericht der Deutsche Mathematiker-Vereinigung, II. Abteilung 44 (1934), pp. 1-3.



List of Bohr's collaborators

Bohr made around a fifth of his works in collaborations with Danish or foreign colleagues. The table below lists the scientific collaborators he wrote joint articles together with.

Collaborator Number of joint works
Besicovitch, Abram S. 3
Courant, Richard 1
Cramér, Harald 1
Fenchel, Werner 1
Flanders, Donald A. 2
Følner, Erling 3
Jessen, Børge 11
Landau, Edmund 7
Landau, Edmund and Littlewood, John E. 1
Total number: 30

Bohr also collaborated with colleagues on the textbook Lærebog i matematisk Analyse [Textbook in mathematical analysis] in 4 volumes. The first preliminary edition was published 1915-18 while the first typeset edition was published 1920-23. Both of these were written in collaboration with Johannes Mollerup. The revised editions in 1938-42 and 1945-48 were written by Bohr in collaboration with Aksel F. Andersen and Richard Petersen.

Last updated: 2000.07.10, 1997.06.04