Norman Levinson (August 11, 1912 inLynn, Massachusetts – October 10, 1975 inBoston) was an Americanmathematician. Some of his major contributions were in the study ofFourier transforms,complex analysis, non-lineardifferential equations,number theory, andsignal processing. He worked closely withNorbert Wiener in his early career. He joined the faculty of theMassachusetts Institute of Technology in 1937. In 1954, he was awarded theBôcher Memorial Prize of theAmerican Mathematical Society and in 1971 theChauvenet Prize (after winning in 1970 theLester R. Ford Award) of theMathematical Association of America for his paperA Motivated Account of an Elementary Proof of the Prime Number Theorem.^[2] In 1974 he published a paper^[3] proving that more than a third of the zeros of theRiemann zeta function lie on the critical line, a result later improved to two fifths byConrey.

He received both hisbachelor's degree and hismaster's degree inelectrical engineering fromMIT in 1934, where he had studied underNorbert Wiener and took almost all of the graduate-level courses in mathematics. He received the MITRedfield Proctor Traveling Fellowship to study at theUniversity of Cambridge, with the assurance that MIT would reward him with aPhD upon his return regardless of whatever he produced at Cambridge. Within the first four months in Cambridge, he had already produced two papers. In 1935, MIT awarded him with the PhD in mathematics.

His death in 1975 was caused by abrain tumor. He was married since 1938; his widow Zipporah died at age 93 in 2009. He had two daughters and four grandchildren. Norman Levinson's doctoral students includeRaymond Redheffer andHarold Shapiro.^[1]

• Levinson recursion
• Levinson's inequality
• Levinson's theorem

• Levinson, Norman (1940),Gap and density theorems (AMS Colloquium Publications vol. 26), New York: Amer. Math. Soc.,ISBN 0-8218-1026-X{{citation}}:ISBN / Date incompatibility (help)^[4]
• Coddington, Earl A.; Levinson, Norman (1955),Theory of ordinary differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London,ISBN 978-0-89874-755-3,MR 0069338{{citation}}:ISBN / Date incompatibility (help)^[5]
• Levinson, Norman (1998), Nohel, John A.; Sattinger, David H. (eds.),Selected papers of Norman Levinson. Vol. 1, Contemporary Mathematicians, Boston, MA: Birkhäuser Boston,ISBN 978-0-8176-3862-7,MR 1491093
• Levinson, Norman (1998), Nohel, John A.; Sattinger, David H. (eds.),Selected papers of Norman Levinson. Vol. 2, Contemporary Mathematicians, Boston, MA: Birkhäuser Boston,ISBN 978-0-8176-3979-2,MR 1491093

• O'Connor, John J.;Robertson, Edmund F.,"Norman Levinson",MacTutor History of Mathematics Archive,University of St Andrews

• 1912 births
• 1975 deaths
• 20th-century American mathematicians
• Institute for Advanced Study visiting scholars
• Jewish American scientists
• MIT School of Engineering alumni
• Massachusetts Institute of Technology faculty
• People from Lynn, Massachusetts
• Mathematicians from Massachusetts
• American number theorists
• American mathematical analysts
• Deaths from brain cancer in the United States

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