Lowell Schoenfeld
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Lowell Schoenfeld
Lowell Schoenfeld
Lowell Schoenfeld.jpg
Born(1920-04-01)April 1, 1920
DiedFebruary 6, 2002(2002-02-06) (aged 81)
Alma materUniversity of Pennsylvania
Scientific career
ThesisA Transformation Formula in the Theory of Partitions (1944)
Doctoral advisorHans Rademacher
Doctoral studentsSamuel Lawn

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:

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]


  1. ^ ——— (1976), "Sharper Bounds for the Chebyshev Functions ?(x) and ?(x). II", Mathematics of Computation, 30 (134): 337-360, doi:10.2307/2005976.

External links

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