{{Infobox scientist | name = Aurel Wintner | image = Aurel Wintner.jpg | image_size = | alt = | caption = | birth_date = {{Birth date|1903|04|08|df=y}} | birth_place = Budapest, Hungary | death_date = {{Death date and age|1958|01|15|1903|04|08|df=y}} | death_place = Baltimore, Maryland, United States | fields = Mathematics | workplaces = Johns Hopkins University | alma_mater = University of Leipzig | thesis_title = | thesis_url = | thesis_year = | doctoral_advisor = Leon Lichtenstein | doctoral_students = Shlomo Sternberg<br>Philip Hartman | known_for = Jessen–Wintner theorem<br>Wiener-Wintner theorem | awards = }}
'''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.<ref>{{cite journal|author=Hartman, Philip|authorlink=Philip Hartman|title=Aurel Wintner|journal=J. London Math. Soc.|volume=37|year=1962|pages=483–503|doi=10.1112/jlms/s1-37.1.483}}</ref> 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,{{citation needed|date=July 2022}} and the son-in-law of mathematician Otto Hölder.<ref>{{citation | last1 = Elbert | first1 = Árpád | last2 = Garay | first2 = Barnabás M. | editor-last = Horváth | editor-first = János | contribution = Differential equations: Hungary, the extended first half of the 20th century | doi = 10.1007/978-3-540-30721-1_9 | mr = 2547513 | pages = 245–294 | publisher = Springer, Berlin | series = Bolyai Soc. Math. Stud. | title = A Panorama of Hungarian Mathematics in the Twentieth Century, I | volume = 14 | year = 2006| isbn = 978-3-540-28945-6 }}; see [https://books.google.com/books?id=EWm4WzSaG3IC&pg=PA248 p. 248]</ref>
==Works== * ''[https://archive.org/details/SpektraltheorieDerUnendlichenMatrizen Spektraltheorie der unendlichen Matrizen]'', 1929<ref>{{cite journal|author=Tamarkin, J. D.|authorlink=Jacob Tamarkin|title=Review: Aurel Wintner, ''Spektraltheorie der unendlichen Matrizen. Einführung in den analytischen Apparat der Quantenmechanik''|journal=Bull. Amer. Math. Soc.|year=1931|volume=37|issue=9, Part 1|pages=651–652|url=http://projecteuclid.org/euclid.bams/1183494972|doi=10.1090/s0002-9904-1931-05207-1|doi-access=free}}</ref> * ''The Analytical Foundations of Celestial Mechanics'', 1941 (reprinted in 2014 by Dover) * ''[https://archive.org/details/EratosthenianAverages Eratosthenian Averages]'', 1943 * ''[https://archive.org/details/TheTheoryOfMeasureInArithmeticalSemiGroups The Theory of Measure in Arithmetical Semi-Groups]'', 1944 * ''[https://archive.org/details/AnArithmeticalApproachToOrindaryFourierSeries An Arithmetical Approach to Ordinary Fourier Series]'', 1945 * ''[https://archive.org/details/TheFourierTransformsOfProbabilityDistributions The Fourier Transforms of Probability Distributions]'', 1947
==References== {{reflist}}
==External links== * {{MacTutor Biography|id=Wintner}} * {{MathGenealogy |id=35391}} * [https://archive.org/details/SpektraltheorieDerUnendlichenMatrizen Spektraltheorie Der Unendlichen Matrizen] at the Internet Archive
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{{DEFAULTSORT:Wintner, Aurel}} Category:1903 births Category:1958 deaths Category:20th-century Hungarian mathematicians Category:Mathematicians from Budapest Category:Leipzig University alumni Category:Johns Hopkins University faculty
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