Math 626  -- Spring 2014

Introduction to analytic number theory

MWF 9:10-10:00
BLOC 148


Course Description:

This is a first course in analytic number theory.   Topics we will cover this semester include
  • Analytic properties of Dirichlet's L-functions
  • Prime number theorem for arithmetic progressions
  • The large sieve inequalities
  • The Bombieri-Vinogradov theorem
  • Further topics as time permits

Course Information:

Instructor: Dr. Matthew Young

Office Hours: TBA

Office: Blocker 641G

E-mail: myoung (at) math dot tamu d0t edu

Textbook: The required textbook is Multiplicative Number Theory, 3rd Ed., by Harold Davenport and revised by Hugh Montgomery, Springer GTM.

Course Syllabus: We plan to cover most of the textbook, with further topics as time permits.

Prerequisite: Basic complex analysis.  

Course Webpage: /~myoung/classes/626spring2014.html

Exam Schedule:

There will be one midterm essay and one final essay.

Midterm Essay

Final Exam


Due in class, March 5

Due on our scheduled final time, May 5, 8-10AM


Your final grade will be determined by the total number of points obtained on exams and homework. Out of 600 total points, each component contributes to your grade as follows:





Midterm essay


Final essay


The following grade distribution will be used in determining final course grades:


Percentage of Total Points












Homework will be collected roughly once per week for a grade.

Course Policies:

Missed Work: Making up missed work (including missed exams, quizzes, and homework) will be arranged according to University policies only. A university approved excuse must be provided to the instructor in writing (e-mail is sufficient) within 1 working day for exams and within 2 working days for other work.

Academic Dishonesty:

“An Aggie does not lie, cheat, or steal or tolerate those who do.”

It is not permissible to hand in the work of others for a grade, including work on exams, quizzes, and homework. You are allowed to discuss homework with others, but your write-ups are expected to be done on your own and in your own words. Copying the work of others will be prosecuted to the full extent possible under University policies.

Cheating during an exam will be sanctioned by assigning 0 points on the exam. Further action will be taken in agreement with Texas A&M University Student Rules on Academic Honesty and the Aggie Honor System Code.

Disability Assistance:

The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact the Department of Student Life, Disability Services Office, in Room B118 of Cain Hall or call 845-1637. Their website is If you believe you have a disability requiring accomodation, you should contact this office several weeks in advance of an exam or assignment.

Copyright information: All printed handouts and web-materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor.

Contact information: Course announcements may occasionally be made via e-mail (e.g. in case of a change to office hours or to correct potential errors in homework problem sets).  Students should regularly check their neo e-mail accounts.

Page maintained by Matt Young, Dept. of Mathematics, Texas A&M University.