Descriptive Summary
Schoenfeld, Lowell,
1920-
Lowell Schoenfeld
Papers,
1965-1969,
1990
Materials are written in
English.
94-265
1 ft, 3 in.
Dolph Briscoe Center for American
History, The University of Texas at
Austin
This collection
documents Lowell Schoenfeld's (1920-2002) work using computers to explore
explicit inequalities involving prime numbers and the Riemann zeta
function.
Biographical Note
Schoenfeld received his Ph.D. in 1944 from the University of
Pennsylvania under the direction of Hans Rademacher. He met Josephine M.
Mitchell when they were both professors at the University of Illinois in the
early 1950s. After they married, the University would no longer allow Mitchell
to teach, so the couple both resigned their positions and eventually settled at
Pennsylvania State University. In 1968 the couple moved to the University of
Buffalo where they remained until their retirements in the 1980s. Schoenfeld is
known for his work in analytic number theory.

Scope and Contents
This collection documents Lowell Schoenfeld's (1920-2002) work using
computers to explore explicit inequalities involving prime numbers and the
Riemann zeta function. These records document one of the first major efforts to
use modern computational methods of analysis on the Riemann function.

Forms part of the Archives of American Mathematics.

Access Restrictions
Unrestricted access.

Use Restrictions
These papers are stored remotely at CDL. Advance notice required for retrieval.
Contact repository for retrieval.

Preferred Citation
Lowell Schoenfeld Papers, 1965-1969,1990, Archives of American
Mathematics, Dolph Briscoe Center for American History, University of Texas at Austin.

Related material
J. Barkley Rosser Papers, 1931-1989, Archives of American Mathematics,
Dolph Briscoe Center for American History, University of Texas at Austin.

Index Terms
Rosser, J. Barkley (John Barkley),
1907-
Schoenfeld, Lowell, 1920-
Number theory
Riemann zeta function
Detailed Description of the Papers
94-265/1
Tables, page 1-1022,
undated
Ledgers of computer printouts:
94-265/2
Book 29, program listings:
94-265/2
Euler-Maclaurin compare
94-265/2
(τ) test program
94-265/2
Final program, ZETA
94-265/2
Main program, ZETA
94-265/2
ZETATAPE
94-265/2
Mubound
94-265/2
Zetatable
94-265/3
Book 52, high range:
94-265/3
H1, gram numbers 13,399,950-13,400,050,
August 4, 1965
94-265/3
H2, gram numbers 13,399,950-13,441,663,
August 5, 1965
94-265/3
FH1, gram numbers 13,399,952-13,441,400,
October 5, 1967
94-265/3
FH2, gram numbers 13,399,952-13,441,400,
November 2, 1967
94-265/3
FH, compare one,
October 6, 1967
94-265/3
FH, compare two,
November 2, 1967
94-265/3
FH3, gram numbers 13,441,401-13,441,663,
November 4, 1967
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FH, compare three,
November 6, 1967
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FH3, shift,
February 9, 1968
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ZTH, gram numbers 13,400,000-13,441,449,
May 8, 1968
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Rerun ZTH, gram numbers 13,400,000-13,441,449,
May 9, 1968
94-265/3
Compare ZTH,
May 9, 1968
94-265/3
Zetatable, ZTBLH
94-265/4
Rolled poster, "The Riemann zeta function on the critical
line, plotted with Mathematica," published by Wolfram Research,
1990