an (algebraic) introduction to number theory

math 4313
fall 2024



DBP 1977 928 Carl Friedrich Gauß

announcements:
none

instructor
kimball martin
phsc 1112
kimball.martin@ou.edu
home

lecture
mwf 11:00-11:50pm, phsc 1105

office hours
wed 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.

    current notes updated: 11/04/2024
    changes ch 4: minor updates

    table of contentstitle
    preface
    introduction
    chapter 1numbers
    chapter 2factorization
    chapter 3 modular arithmetic
    chapter 4 sums of squares
    chapter 5 (draft)pell's equation
    chapter 6 (outline)the last theorem
    chapter 7 (outline)zeta
    references
    index

    links
    course canvas page (with grades etc)
    fall 2017 course - the previous version of this course, with an earlier version of the notes
    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)
    academic calendar
    math department