Lowell Schoenfeld
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 results in 1976, assuming the Riemann hypothesis:
Lowell Schoenfeld | |
---|---|
Born | April 1, 1920 |
Died | February 6, 2002 81) | (aged
Nationality | American |
Alma mater | University of Pennsylvania |
Scientific career | |
Fields | Mathematics |
Thesis | A Transformation Formula in the Theory of Partitions (1944) |
Doctoral advisor | Hans Rademacher |
Doctoral students | Samuel Lawn |
for all x ≥ 2657, based on the prime-counting function π(x) and the logarithmic integral function li(x), and
for all x ≥ 73.2, based on the second Chebyshev function ψ(x).[1]
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.
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