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A Course on Number Theory

A Course on Number Theory Peter J. Cameron ii Preface These are the notes of the Course MTH6128, Number Theory , which I taught at Queen Mary, University of London, in the spring semester of 2009. There is nothing original to me in the notes. The Course was designed by Su- san McKay, and developed by Stephen Donkin, Ian Chiswell, Charles Leedham- Green, and Thomas M uller; I have benefited greatly from Ian Chiswell's notes, which I have followed closely. I am grateful to Mark Walters who stood in for me in the first six lectures of the Course , and whose comments have been very helpful; also to the class tutors, markers, and most of all the students who took the Course , for their comments and support.

famous classical theorems and conjectures in number theory, such as Fermat’s Last Theorem and Goldbach’s Conjecture, and be aware of some of the tools used to investigate such problems. The recommended books are [1] H Davenport, The Higher Arithmetic, Cambridge University Press (1999) [2]Allenby&Redfern ...

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