Polynomial time algorithms for finding integer relations among real numbers
SIAM Journal on Computing
Algorithm 719: Multiprecision translation and execution of FORTRAN programs
ACM Transactions on Mathematical Software (TOMS)
A Fortran 90-based multiprecision system
ACM Transactions on Mathematical Software (TOMS)
On the rapid computation of various polylogarithmic constants
Mathematics of Computation
Analysis of PSLQ, an integer relation finding algorithm
Mathematics of Computation
Parallel integer relation detection: techniques and applications
Mathematics of Computation
High performance computing meets experimental mathematics
Proceedings of the 2002 ACM/IEEE conference on Supercomputing
High-Precision Floating-Point Arithmetic in Scientific Computation
Computing in Science and Engineering
Supporting extended precision on graphics processors
Proceedings of the Sixth International Workshop on Data Management on New Hardware
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Practical algorithms for integer relation detection have become a staple in the emerging discipline of "experimental mathematics"-using modern computer technology to explore mathematical research. After briefly discussing the problem of integer relation detection, the author describes several recent, remarkable applications of these techniques in both mathematics and physics.