61 citations · 445 across the 59 of their papers we have counts for
4 papers · 1 filter
On asymptotic approximations to the log-Gamma and Riemann-Siegel theta functions
Richard P. Brent
We give bounds on the error in the asymptotic approximation of the log-Gamma function for complex in the right half-plane. These improve on earlier bounds by Behnke a…
Asymptotic approximation of central binomial coefficients with rigorous error bounds
Richard P. Brent
We show that a well-known asymptotic series for the logarithm of the central binomial coefficient is strictly enveloping in the sense of Pólya and Szegö, so the error incurred in t…
Twelve new primitive binary trinomials
Richard P. Brent, Paul Zimmermann
We exhibit twelve new primitive trinomials over GF(2) of record degrees , , and . In addition we report the first Mersenne exponent not ruled out by S…
Discrete analogues of Macdonald-Mehta integrals
Richard P. Brent, Christian Krattenthaler, S. Ole Warnaar
We consider discretisations of the Macdonald--Mehta integrals from the theory of finite reflection groups. For the classical groups, , and $\mathrm…