# Math 246B Fall 2005

Instructor: William Duke

Office: MS 6119

Office hours: MW 3:15-4:15 and by appointment.

Lecture: MW 2-3:15, MS 6627

## General Information

The prerequisite for this course is Math 246A or equivalent. The
textbook is
Complex Analysis
by Stein and Shakarchi. Math 246A last term (Spring 2005)
covered chapters 1, 2 (except section 5.5), 3 and 8 of the text. This term
will cover most of the rest of the book.

Grades will be based on exercises (most from the text) to be assigned as we go and
posted on this web site. You will be responsible for handing in the
solutions of at least 30 of them (your choice) at the end of the term (Friday,
December 16).

## Syllabus

- Entire Functions (Chapter 5)
- Poisson Summation (Chapter 4, Sections 1 and 2)
- The Gamma and Zeta Functions (Chapter 6)
- The Prime Number Theorem (Chapter 7)
- Elliptic Functions (Chapter 9)
- Applications of the Theta Function (Chapter 10)

## Homework Problems

__Chapter 4, Page 127__

Exercises: 2, 3, 7.

__Chapter 5, Page 153__

Exercises: 1, 3, 4, 8, 9, 11, 13, 14, 15, 16.

Problems: 1, 3.

__Chapter 6, Page 174__

Exercises: 1, 3, 5, 7, 9, 10, 13, 14, 15, 16.

Problems: 1, 2, 4.

__Chapter 7, Page 199__

Exercises: 1, 2, 3, 4, 5, 6, 7, 8, 10.

Problems: 1, 2.

__Chapter 9, Page 278__

Exercises: 1, 2, 3, 4, 5, 6, 7, 8.

Problems: 1, 2, 3.

__Chapter 10, Page 309__

Exercises: 1, 4, 5, 6, 7, 9, 10, 11, 12.

Problems: 1, 2, 3, 5, 6.