University of Texas, Dolph Briscoe Center for American History

Lowell Schoenfeld Papers, 1965-1969,1990



Descriptive Summary

Creator: Schoenfeld, Lowell, 1920-
Title: Lowell Schoenfeld papers
Dates: 1965-1969, 1990
Abstract: This collection documents Lowell Schoenfeld's (1920-2002) work using computers to explore explicit inequalities involving prime numbers and the Riemann zeta function.
Identification: urn:taro:utexas.cah.00307
Extent: 1.25 linear feet
Language: English .
Repository: Dolph Briscoe Center for American History, The University of Texas at Austin

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.


Restrictions

Conditions Governing Access

These papers are stored remotely. Advance notice required for retrieval. Contact repository for retrieval.

Conditions Governing Use

There are no use restrictions on this collection. Publisher is responsible for complying with copyright law.


Index Terms

Personal Names
Rosser, J. Barkley (John Barkley), 1907-1989
Schoenfeld, Lowell, 1920-
Subjects
Functions
Number theory

Related Materials

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


Administrative Information

Preferred Citation

Lowell Schoenfeld Papers, Archives of American Mathematics, Dolph Briscoe Center for American History, The University of Texas at Austin.

Accession Number(s)

1994-265


Detailed Description of the Collection

box
94-265/1 Tables, page 1-1022, undated



Ledgers of computer printouts

Book 29, program listings
Euler-Maclaurin compare
ƒ (τ) test program
Final program, ZETA
Main program, ZETA
ZETATAPE
Mubound
Zetatable
Book 52, high range
H1, gram numbers 13,399,950-13,400,050, August 4, 1965
H2, gram numbers 13,399,950-13,441,663, August 5, 1965
FH1, gram numbers 13,399,952-13,441,400, October 5, 1967
FH2, gram numbers 13,399,952-13,441,400, November 2, 1967
FH, compare one, October 6, 1967
FH, compare two, November 2, 1967
FH3, gram numbers 13,441,401-13,441,663, November 4, 1967
FH, compare three, November 6, 1967
FH3, shift, February 9, 1968
ZTH, gram numbers 13,400,000-13,441,449, May 8, 1968
Rerun ZTH, gram numbers 13,400,000-13,441,449, May 9, 1968
Compare ZTH, May 9, 1968
Zetatable, ZTBLH



Rolled poster, "The Riemann zeta function on the critical line, plotted with Mathematica," published by Wolfram Research, 1990