Aurel Wintner


Aurel Wintner
Aurel Wintner.jpg
Born(1903-04-08)8 April 1903
Died15 January 1958(1958-01-15) (aged 54)
Baltimore, Maryland, United States
NationalityAustrian-Hungarian American
Alma materUniversity of Leipzig
Known forJessen–Wintner theorem
Wiener-Wintner theorem
Scientific career
InstitutionsJohns Hopkins University
Doctoral advisorLeon Lichtenstein
Doctoral studentsShlomo Sternberg
Philip Hartman

Aurel Friedrich Wintner (8 April 1903 – 15 January 1958) was a mathematician noted for his research in mathematical analysis, number theory, differential equations and probability theory.[1] He was one of the founders of probabilistic number theory. He received his Ph.D. from the University of Leipzig in 1928 under the guidance of Leon Lichtenstein. He taught at Johns Hopkins University.

He was a nephew of the astronomer Samuel Oppenheim.


  • Spektraltheorie der unendlichen Matrizen, 1929[2]
  • The Analytical Foundations of Celestial Mechanics, 1941 (reprinted in 2014 by Dover)
  • Eratosthenian Averages, 1943
  • The Theory of Measure in Arithmetical Semi-Groups, 1944
  • An Arithmetical Approach to Ordinary Fourier Series, 1945
  • The Fourier Transforms of Probability Distributions, 1947


  1. ^ Hartman, Philip (1962). "Aurel Wintner". J. London Math. Soc. 37: 483–503. doi:10.1112/jlms/s1-37.1.483.
  2. ^ Tamarkin, J. D. (1931). "Review: Aurel Wintner, Spektraltheorie der unendlichen Matrizen. Einführung in den analytischen Apparat der Quantenmechanik". Bull. Amer. Math. Soc. 37 (9, Part 1): 651–652. doi:10.1090/s0002-9904-1931-05207-1.

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