Keith Briggs (mathematician)
Encyclopedia
Keith Briggs is a mathematician notable for several world-record achievements in the field of computational mathematics:
An article about him was in i-squared Magazine, Issue 6 (Winter 2008/9).
He also studies the etymology of place-names.
- The most accurate calculation of the Feigenbaum constantsFeigenbaum constantsThe Feigenbaum constants are two mathematical constants named after the mathematician Mitchell Feigenbaum. Both express ratios in a bifurcation diagram.The first Feigenbaum constant ,...
, which was published in A precise calculation of the Feigenbaum constants, Mathematics of Computation 57, 435-439. - The worst known badly-approximable irrational pair (Some explicit badly approximable pairs, Journal of Number Theory, 103, 71).
- The simplest known universal differential equationUniversal differential equationA universal differential equation is a non-trivial differential algebraic equation with the property that its solutions can approximate any continuous function on any interval of the real line to any desired level of accuracy.- External links :*...
(Another universal differential equation). - The largest number of contributions in the last 5 years to Sloane's On-Line Encyclopedia of Integer SequencesOn-Line Encyclopedia of Integer SequencesThe On-Line Encyclopedia of Integer Sequences , also cited simply as Sloane's, is an online database of integer sequences, created and maintained by N. J. A. Sloane, a researcher at AT&T Labs...
(search for briggs in OEIS). Many of these have involved major computations, such as the number of unlabelled graphs on up to 140 nodes. - The computation of the longest sequences of colossally abundant and superabundant numbers, and their application to a test of the Riemann HypothesisRiemann hypothesisIn mathematics, the Riemann hypothesis, proposed by , is a conjecture about the location of the zeros of the Riemann zeta function which states that all non-trivial zeros have real part 1/2...
(Experimental Mathematics 15, 251-6).
An article about him was in i-squared Magazine, Issue 6 (Winter 2008/9).
He also studies the etymology of place-names.