Lowell Schoenfeld

Lowell Schoenfeld (1974)

Lowell Schoenfeld ( April 1, 1920 - February 6, 2002 ) was an American mathematician.

Lowell Schoenfeld studied at the City College of New York with a bachelor's degree in 1940 and received his doctorate under Hans Rademacher at the University of Pennsylvania in 1944 (A transformation formula in the theory of partitions). He then taught at Temple University and Harvard University . In the 1950s he was a professor at the University of Illinois . After his marriage, both spouses could not remain professors at the university due to regulations that were in effect at the time to prevent nepotism, and both went to Pennsylvania State University (then one of the few American universities that accepted married couples as professors). From 1968 he was a professor at the University at Buffalo (like his wife).

Schoenfeld dealt with analytical number theory. Assuming the Riemann Hypothesis , he was able to give the following upper bound for the deviation of the prime number distribution function from the integral logarithm:

{\ displaystyle {\ big |} \ pi (x) - \ mathrm {Li} (x) {\ big |} <{\ frac {{\ sqrt {x}} \ ln x} {8 \ pi}} \ quad {\ text {for}} \ x \ geq 2657.}

This was shown by Helge von Koch with an unspecified constant instead of . ${\ displaystyle 1 / (8 \ pi)}$

He also worked with John Barkley Rosser to determine the bounds of number theoretic functions . With Rosser and JM Yohe, he calculated the first 3.5 million non-trivial zeros of the Riemann zeta function with the computer in 1968 and showed that they were on the critical straight line. They also formulated Rosser's rule.

He was married to the mathematics professor Josephine Mitchell (1912-2000) since 1953 .

Web links

Lowell Schoenfeld Papers , Briscoe Center, University of Texas

Individual evidence

↑ Lowell Schoenfeld in the Mathematics Genealogy Project (English)
↑ Josephine Mitchell was refused an extension of her position, although she was at the university longer than Schoenfeld. Both protested unsuccessfully. Patricia Kenschaft, Change is Possible: Stories of Women and Minorities in Mathematics, American Mathematical Society, 2005, p. 74
↑ L. Schoenfeld, Sharper Bounds for the Chebyshev Functions θ (x) and ψ (x). II, Mathematics of Computation, Volume 30, 1976, pp. 337-360
↑ Helge von Koch, Sur la distribution des nombres premiers, Acta Mathematica, Volume 24, 1901, 159-182
↑ Rosser`s rule, Mathworld
^ Rosser, Yohe, Schoenfeld, Rigorous computation and the zeros of the Riemann zeta-function. (including discussion) , Information Processing 68 (Proc. IFIP Congress, Edinburgh, 1968), Vol. 1: Mathematics, Software, Amsterdam: North-Holland, 1969, pp. 70-76

personal data
SURNAME	Schoenfeld, Lowell
BRIEF DESCRIPTION	American mathematician
DATE OF BIRTH	April 1, 1920
DATE OF DEATH	February 6, 2002

[1] Lowell Schoenfeld in the Mathematics Genealogy Project (English)

[2] Josephine Mitchell was refused an extension of her position, although she was at the university longer than Schoenfeld. Both protested unsuccessfully. Patricia Kenschaft, Change is Possible: Stories of Women and Minorities in Mathematics, American Mathematical Society, 2005, p. 74

[3] L. Schoenfeld, Sharper Bounds for the Chebyshev Functions θ (x) and ψ (x). II, Mathematics of Computation, Volume 30, 1976, pp. 337-360

[4] Helge von Koch, Sur la distribution des nombres premiers, Acta Mathematica, Volume 24, 1901, 159-182

[5] Rosser`s rule, Mathworld

[6] Rosser, Yohe, Schoenfeld, Rigorous computation and the zeros of the Riemann zeta-function. (including discussion) , Information Processing 68 (Proc. IFIP Congress, Edinburgh, 1968), Vol. 1: Mathematics, Software, Amsterdam: North-Holland, 1969, pp. 70-76