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A Motivated Account of an Elementary Proof of the Prime Number Theorem

by Norman Levinson

Year of Award: 1971

Award: Chauvenet Prize, and also the Lester Ford Award in 1970

Publication Information: The American Mathematical Monthly, vol. 76 (1969), pp. 225-245

Summary: The author provides a self-contained account of an elementary proof of the prime number theorem because “with the tremendous proliferation of mathematics, many mathematicians no longer study number theory”.

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About the Author: (from The American Mathematical Monthly, vol. 76 (1969)) Norman Levinson 

studied with Norbert Wiener and received the Sc.D. degree in 1935. He was a travelling Fellow at Cambridge University in 1934-35 and an NRC Fellow in 1935-37. He has been on the MIT staff since 1937, except for a year as Guggenheim Fellow at the Mathematics Institute, Copenhagen and a year at the University of Tel Aviv. His main research interests are transforms, entire functions, probability, and differential equations. He is the author of the AMS Colloquium volume, Gap and Density Theorems, and (with E. Coddington) Ordinary Differential Equations. Professor Levinson received the AMS Bocher Prize and he is a member of the National Academy of Sciences.

Subject classification(s): Number Theory | Algebra and Number Theory | Index
Publication Date: 
Friday, October 10, 2008