Number Theory & Lattices

Motivation

I was delighted to find that number theory provides practical approaches to Bayesian inference (e.g. numerical integration using (i) quasirandom sequences, or (ii) vectors of given lengths in lattices). Hence one can apply realistic statistical models to important but complicated problems, such as those arising in survival analysis.

Books

Conway & Sloane (1992)
Fang & Wang (1994)
Hua & Wang (1981)
Niederreiter (1992)
Sloan & Joe (1994)

WWW Resources

Computational Number Theory
Number Theory Web: (many links & pointers).
Quasi-Monte Carlo: (pages at Hong Kong Baptist College).
Kai Tai Fang: Home page (number theory & statistics).
Harald Niederreiter: Home page (quasirandom sequences, nets etc.)
Ian H.Sloan: Home page (lattices & numerical integration).
Neil J.A.Sloane: Home page (also much on codes, designs etc.)

Both science and art have to do with ordered complexity.: Lancelot Law Whyte, The Griffin 1957 (6) No. 10

This page is maintained by J.E.H.Shaw@warwick.ac.uk.