Meets:    MWF 9:00-9:50am, Ross Hall 247
Instructor:    Eric Moorhouse,  Ross Hall 216

We are currently discussing Quadratic Reciprocity and Gauss Sums.

Links/Handouts

•   Syllabus/Policies
•   Lecture Slides/Videos/Computer sessions
•   Classroom Climate and Conduct
•   UW Regulation 2-114 on Academic Dishonesty
•   Additional resources
  • Look at appendices A1, A3 and A3 of my notes on Cyclotomic Fields. Basic facts about field extensions, including properties of the norm and trace, are found in A1.  Basic facts about the ring of integers in a number field are found in A3.  Basic facts about Dedekind zeta functions are found in appendix A6.
  • A very nice (accessible and concise) treatment of algebraic number theory is Pierre Samuel's Algebraic Theory of Numbers.  This small booklet is available as an inexpensive Dover reprint.
  • Another resource for number fields (especially the Dedekind theory of factorization of ideals) is Paul McCarthy's Algebraic Extensions of Fields, another inexpensive Dover reprint.
•   HW1  due 5:00pm, Mon Mar 10 on WyoCourses.
•   Dirchlet Series and Dirichlet's Theorem
•   Quadratic Reciprocity
•   Congruent numbers are discussed in N. Koblitz, Introduction to Elliptic Curves and Modular Forms, 2nd ed., 1993.  We touched on this topic in class beginning April 2, 2025, using slides taken from a previous seminar talk.

/ revised April, 2025