Enumerating solutions to

Author:
Daniel J. Bernstein

Journal:
Math. Comp. **70** (2001), 389-394

MSC (2000):
Primary 11Y50; Secondary 11D25, 11D41, 11P05, 11Y16

DOI:
https://doi.org/10.1090/S0025-5718-00-01219-9

Published electronically:
June 12, 2000

MathSciNet review:
1709145

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Let be polynomials with integer coefficients. This paper presents a fast method, using very little temporary storage, to find all small integers satisfying . Numerical results include all small solutions to ; all small solutions to ; and the smallest positive integer that can be written in ways as a sum of two coprime cubes.

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Additional Information

**Daniel J. Bernstein**

Affiliation:
Department of Mathematics, Statistics, and Computer Science (M/C 249) The University of Illinois at Chicago, Chicago, IL 60607–7045

Email:
djb@pobox.com

DOI:
https://doi.org/10.1090/S0025-5718-00-01219-9

Received by editor(s):
July 10, 1998

Received by editor(s) in revised form:
January 4, 1999

Published electronically:
June 12, 2000

Additional Notes:
The author was supported by the National Science Foundation under grant DMS–9600083.

Article copyright:
© Copyright 2000
D. J. Bernstein