an (algebraic) introduction to number theory

math 4313
fall 2017


kimball martin
phsc 924

mwf 11:30-12:20pm, phsc 114

office hours
th 2-3pm
or by appt

  • course info
  • homework
  • exams

  • course notes
    these notes are still in progress and likely have many mistakes. updates will be made throughout the semester (and perhaps beyond). please notify me of any errors you find or suggestions you may have. you can download the notes as a single pdf or chapter by chapter.

    note: the single pdf may have minor revisions not incorporated in the individual chapter files.

    complete notes an (algebraic) introduction to number theoryedited: 12/25/2017
    introduction contents/preface/introedited: 12/4/2017
    chapter 1 numbersedited: 9/17/2017
    chapter 2 factorizationedited: 9/27/2017
    chapter 3 modular arithmeticedited: 10/30/2017
    chapter 4 sums of squaresedited: 11/20/2017
    chapter 5 (draft) pell's equationedited: 12/4/2017
    chapter 6 (outline only) the last theoremedited: 12/4/2017
    chapter 7 (outline only) zetaedited: 12/4/2017
    references + index references + indexedited: 12/4/2017

    number theory i (fall 2009) - a previous number theory course i taught here, with different notes
    number theory ii (spring 2010) - the sequel to the above course, with more advanced notes (aimed at grad students)
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