You are here: Mathematics > staff members > roger plymen
School of Mathematics

Professor Roger Plymen

Professor Roger Plymen

Pure Mathematics Group

Room 2.120, Alan Turing Building
School of Mathematics,
University of Manchester
Manchester M13 9PL, UK
plymen[at]manchester.ac.uk
Tel: +44 (0) 7973 698510

Affiliations:

Emeritus professor of Pure Mathematics at Manchester University; Visiting Professor of Mathematics at Southampton University; Adjunct Professor of Mathematics at Pennsylvania State University, USA

Page contents:

Research

Graduate courses

Publications

Books

(2010 - 2014)

(2001-2009)

Before 2001

Lecture Notes

Skewes Number

A Skewes Number \Xi is an upper bound for the smallest natural number for which \pi(x) > li(x). After a gap of 10 years, two papers on this subject were published in July 2010: Chao-Plymen and Saouter-Demichel. In addition, several students here (Christine Lee, Munibah Tahir, Stefanie Zegowitz) have made contributions to this topic. The smallest known value of \Xi is around exp(727.9513), a number with 316 digits. For a popular lecture on this topic, please click here. The recent article of Stoll and Demichel in Math. Comp. (2011) is full of lively interest.

Math and music

Saloni Shah, a former undergraduate, has written a superlative project on math and music: please click here.

65th Birthday Conference

For the poster and list of speakers, please click here.