Mathematician:Richard Peirce Brent
(Redirected from Mathematician:R.P. Brent)
Jump to navigation
Jump to search
Mathematician
Australian mathematician and computer scientist, whose research interests include number theory (in particular factorisation), random number generators, computer architecture, and analysis of algorithms.
Nationality
Australia
History
- Born: 20 April 1946, Melbourne
Theorems and Definitions
- Prime Decomposition of 8th Fermat Number (with John Michael Pollard)
- Prime Decomposition of 10th Fermat Number
Publications
- 1973: Algorithms for Minimization without Derivatives
- 1976: Tables Concerning Irregularities in the Distribution of Primes and Twin Primes to $10^{11}$
- 1977: Computation of the Regular Continued Fraction for Euler's Constant (Math. Comp. Vol. 31: pp. 771 – 777) www.jstor.org/stable/2006010
- 1979: On the Zeros of the Riemann Zeta Function in the Critical Strip (Math. Comp. Vol. 33: pp. 1361 – 1372) www.jstor.org/stable/2006473
- 1980: Some New Algorithms for High-Precision Computation of Euler's Constant (Math. Comp. Vol. 34: pp. 305 – 312) (with Edwin M. McMillan) www.jstor.org/stable/2006237
- 1981: Factorization of the Eighth Fermat Number (Math. Comp. Vol. 36: pp. 627 – 630) (with John M. Pollard) www.jstor.org/stable/2007666
- 1989: A New Bound for Odd Perfect Numbers (Math. Comp. Vol. 53: pp. 431 – 437) (with Graeme L. Cohen) www.jstor.org/stable/2008375
- 1989: Supplement to A New Lower Bound for Odd Perfect Numbers (Math. Comp. Vol. 53: pp. S7 – S24) (with Graeme L. Cohen) www.jstor.org/stable/2008385
- 1991: Improved Techniques for Lower Bounds for Odd Perfect Numbers (Math. Comp. Vol. 57: pp. 857 – 868) (with G.L. Cohen and H.J.J. te Riele) www.jstor.org/stable/2938723
- 1999: Factorization of the Tenth Fermat Number (Math. Comp. Vol. 68: pp. 429 – 451) www.jstor.org/stable/2585124
- 2005: A primitive trinomial of degree 6972593 (Math. Comp. Vol. 74: pp. 1001 – 1002) (with Samuli Larvala and Paul Zimmermann) www.jstor.org/stable/4100101
- 2011: The great trinomial hunt (Notices of the American Mathematical Society Vol. 58: pp. 233 – 239) (with Paul Zimmermann)