John William Scott (‘Ian’) Cassels. 11 July 1922 — 27 July 2015

Autor: Rainer Dietmann, Tom Fisher, Chris Smyth, Sanju Velani

Publikováno v: Biographical Memoirs of Fellows of the Royal Society. 74:87-108

J. W. S. Cassels was a distinguished number theorist, who was Sadleirian Professor in Cambridge from 1967 to 1984. He worked in many areas of the subject. Perhaps his greatest contribution was concerning Elliptic Curves, much of which is described in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c83f44ef2c16613fa7fba9adcda1b2f9
https://doi.org/10.1098/rsbm.2022.0035

Symmetrizable matrices, quotients, and the trace problem

Autor: James McKee, Chris Smyth

Publikováno v: Linear Algebra and its Applications. 600:60-81

Symmetrisable matrices are those that are a real diagonal change of basis away from being symmetric. Restricting to matrices that have integer entries (symmetrisable integer matrices — SIMs) we enter the worlds of combinatorics and number theory. I

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::28fc7f2e3e3074d578770ae4eee46c7d
https://doi.org/10.1016/j.laa.2020.04.009

EUCoM Seminars (National) - British session, 2021-06-29

Autor: James Norman, Chris Smyth, Alistair Forbes, David Flack

The EUCoM seminars present and disseminate the results of the EUCoM project. They are made of two sessions: a Plenary session in English, where the core is presented, and a National session in local tongue (of those nations participating in the proje

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b77b1fa45dfab0d3e0c35852f3fdfa6

A degree problem for two algebraic numbers and their sum

Autor: Paulius Drungilas, Chris Smyth, Artūras Dubickas

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Smyth, C, Dubickas, A & Drungilas, P 2012, ' A degree problem for two algebraic numbers and their sum ', Publicacions Matemàtiques, vol. 56, pp. 413-448 .
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publicacions Matemàtiques; Vol. 56, Núm. 2 (2012); p. 413-448
Publ. Mat. 56, no. 2 (2012), 413-448

For all but one positive integer triplet $(a,b,c)$ with $a\leqslant b\leqslant c$ and $b\leqslant 6$, we decide whether there are algebraic numbers $\alpha$, $\beta$ and $\gamma$ of degrees $a$, $b$ and $c$, respectively, such that $\alpha+\beta+\gam

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29de58ce200d757c1e91a09f710b4181
http://hdl.handle.net/2072/396685

Around the Unit Circle : Mahler Measure, Integer Matrices and Roots of Unity

Autor: James McKee, Chris Smyth

Mahler measure, a height function for polynomials, is the central theme of this book. It has many interesting properties, obtained by algebraic, analytic and combinatorial methods. It is the subject of several longstanding unsolved questions, such as