Mathematician:Norman Levinson

Mathematician
American mathematician whose major contributions were in the study of Fourier transforms, complex analysis, non-linear differential equations, number theory, and signal processing.

Worked closely with in his early career.

In $1974$ he published a paper proving that more than a third of the zeros of the Riemann zeta function lie on the critical line, a result later improved to two fifths by Conrey.

Nationality
American

History

 * Born: 11 August 1912 in Lynn, Massachusetts, USA
 * 1929: Entered the Massachusetts Institute of Technology to study electrical engineering
 * 1934: Awarded a Bachelor of Science degree and a Master of Science degree, both in electrical engineering
 * 1937: Joined the faculty of the Massachusetts Institute of Technology
 * 1944: Promoted to Associate Professor in 1944
 * 1949: Promoted to full Professor
 * 1954: Awarded the Bôcher Memorial Prize of the American Mathematical Society
 * 1970: Awarded the Lester R. Ford Award
 * 1971: Awarded the Chauvenet Prize
 * Died: 10 October 1975 in Boston, Massachusetts, USA of a brain tumour

Theorems and Definitions

 * Levinson-Durbin Recursion (with )
 * Levinson's Inequality
 * Levinson's Theorem


 * More than One Third of Zeros of Riemann Zeta Function on Critical Line

Publications

 * 1935: On the Non-Vanishing of a Function (D.Sc. Thesis)
 * 1940: Gap and Density Theorems
 * 1955: Theory of ordinary differential equations (with )
 * 1955: Theory of ordinary differential equations (with )

Critical View

 * One day shortly after his paper on the Riemann zeta function appeared, he knocked at the door, came in, and sat down. He looked pale and ill. He complained of a strong headache. ... Shortly afterwards, he entered Massachusetts General Hospital. ... in the August of that summer [I] visited him ... His head was shaven, and red and black lines were drawn on it. ... I never saw him again.