Home page for Graham Jameson

Dept of Mathematics and Statistics, Lancaster University

My departmental page (with contact information)

Research interests

Mathematical publications

Book "The Prime Number Theorem"  Cambridge University Press 2003

Elliptic integrals, the arithmetic-geometric mean and the Brent-Salamin algorithm for π

Notes on Fermat's Last Theorem

Hilbert's inequality and related results

Notes on the large sieve

Counting zeros of generalized polynomials: Descartes' rule of signs and Laguerre's extensions

Three answers to an integral

Two squares and four squares: the simplest proof of all?

Even and odd square-free numbers

Operator-valued extensions of matrix-norm inequalities

Carmichael numbers with three prime factors

Finding Carmichael numbers

Carmichael numbers and pseudoprimes

Interpolating polynomials and divided differences

The cyclotomic polynomials

An inequality for 3-factor Carmichael numbers due to J.M. Chick

Inequalities comparing $(a+b)^p - a^p - b^p$ and $a^{p-1}b + ab^{p-1}$

Euler, Ioachimescu and the trapezium rule

Some remarkable integrals derived from a simple algebraic identity

Other interests

   Member of Lancaster Baptist Church and church representative for Christian Aid

   Mountain walking (not hard climbing!)
       Member of Austrian Alpine Club
       Articles on mountain walking:

   Scottish dancing
        instructor of class at Hest Bank (Tuesdays 7.30 p.m.)
        holder of teaching certificate of the Royal Scottish Country Dance Society

   Running
        best marathon time 2:54:37 (Wolverhampton, 1983 - now a long time ago!)

How old am I?  (simple number games)