Lowell Schoenfeld

From Wikipedia, the free encyclopedia

Jump to: navigation, search

Lowell Schoenfeld (April 1, 1920 – February 6, 2002) was an American mathematician known for his work in analytic number theory. He received his Ph.D. in 1944 from University of Pennsylvania under the direction of Hans Rademacher. He is known for obtaining the following result in 1976, assuming the Riemann hypothesis:

$|\pi(x)-{\rm li}(x)|\le\frac{\sqrt x\,\ln x}{8\pi}$

for all x ≥ 2657.^[1]

[edit] References

^ (1976), "Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II", Mathematics of Computation 30 (134): 337–360, doi:10.2307/2005976 .

This article about an American mathematician is a stub. You can help Wikipedia by expanding it.