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| {{ Infobox scientist
| | Golda is what's created on my birth certificate even though it is not the name on my birth certification. Invoicing is my profession. To climb is some thing she would by no means give up. Ohio is where his house is and his family enjoys it.<br><br>my website ... psychic readings online; [https://www-ocl.gist.ac.kr/work/xe/?document_srl=605236 www-ocl.gist.ac.kr], |
| | name = Lowell Schoenfeld
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| | image = Lowell Schoenfeld.jpg
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| | image_size =
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| | caption =
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| | birth_date = {{birth date|1920|04|01}}
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| | birth_place =
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| | death_date = {{death date and age|2002|02|06|1920|04|01}}
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| | death_place =
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| | nationality = {{flag|United States}}
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| | fields = [[Mathematics]]
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| | workplaces =
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| | alma_mater = [[University of Pennsylvania]]
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| | doctoral_advisor = [[Hans Rademacher]]
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| | doctoral_students = [[John Rowland (mathematician)|John Rowland]]<br>[[Samuel Lawn]]
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| | known_for =
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| | awards =
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| }}
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| '''Lowell Schoenfeld''' (April 1, 1920 – February 6, 2002) was an [[United States|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]]:
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| :<math>|\pi(x)-{\rm li}(x)|\le\frac{\sqrt x\,\ln x}{8\pi}</math>
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| for all ''x'' ≥ 2657, based on the [[prime-counting function]] ''π''(''x'') and the [[logarithmic integral function]] li(''x''), and
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| :<math>|\psi(x)-x|\le\frac{\sqrt x\,\ln^2 x}{8\pi}</math> | |
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| for all ''x'' ≥ 73.2, based on the [[Chebyshev function|second Chebyshev function]] ''ψ''(''x'').<ref>{{Citation |last=Schoenfeld |first=Lowell |authormask=3 |title=Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II |journal=Mathematics of Computation |volume=30 |issue=134 |year=1976 |pages=337–360 |doi=10.2307/2005976 }}.</ref>
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| His [[Erdős number]] is 2.
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| ==References==
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| {{Reflist}}
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| ==External links==
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| *{{MathGenealogy |id=27022}}
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| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
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| | NAME = Schoenfeld, Lowell
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| | ALTERNATIVE NAMES =
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| | SHORT DESCRIPTION = American mathematician
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| | DATE OF BIRTH = April 1, 1920
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| | PLACE OF BIRTH =
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| | DATE OF DEATH = February 6, 2002
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| | PLACE OF DEATH =
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| }}
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| {{DEFAULTSORT:Schoenfeld, Lowell}}
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| [[Category:1920 births]]
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| [[Category:2002 deaths]]
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| [[Category:20th-century mathematicians]]
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| [[Category:American mathematicians]]
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| [[Category:Number theorists]]
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| [[Category:University of Pennsylvania alumni]]
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| {{US-mathematician-stub}}
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Golda is what's created on my birth certificate even though it is not the name on my birth certification. Invoicing is my profession. To climb is some thing she would by no means give up. Ohio is where his house is and his family enjoys it.
my website ... psychic readings online; www-ocl.gist.ac.kr,