Math 541
This is a course on p-adic numbers. There is no required text; however the
following are recommended if you would like a printed source for most of the
material.
p-adic Numbers, p-adic Analysis, and Zeta-Functions, by Neal Koblitz (Springer GTM 58)
p-adic Numbers: An Introduction, by Fernando Gouvea (Springer Universitext)
These items are on
reserve at Noble Library.
Your grade in the
course will be based entirely on your participation during class meetings and
your submitted homework. Homework sets will be available via links from this
page, with due dates as listed below. You are encouraged to discuss the
material and the homework with other students in the class, but you must submit
your own solutions to the assignments.
Your solutions to each
assignment must be typed and submitted electronically, as a PDF attachment to
an email sent to me. Please name your PDF file in the following manner: hw<setnumber><yourlastname>541,
for example: hw1hensel541.
If you are unfamiliar
with LaTeX, you can find help from a number of user’s
guides available online, for example here. Please be sure to
leave generous margins in your document, so that there is space for comments.
Homework drafts
submitted by the draft deadline will be commented and returned to you for
revisions. You must submit the final version of each assignment by the
assignment due date.
The first homework set
can be found here. Draft deadline is 10:59PM on 22
January. Assignment due date is 10:59PM on 12 February.
The second homework
set can be found here. Draft deadline is 10:59PM
on 19 February. Assignment due date is 10:59PM on 11 March.
The third homework set
can be found here. Draft deadline is 10:59PM on 18
March. Assignment due date is 10:59PM on 1 April.
The fourth homework
set can be found here. Draft deadline is 10:59AM
on 9 April. Assignment due date is 10:59 PM on 30 April.
The fifth homework set
can be found here. This set is optional, available for extra credit. Drafts will
not be accepted for comment. Due date is 10:59PM on 2 May.