OK. I'm clearly in over my head. I bought this intro to number theory, and I figured I'd start working at it now while I'm still taking the lower level undergrad stuff so that when I get to this subject, I've had a really good introduction to it.
Having said that, I want you guys to understand that I can MAYBE do 1 of the problems given in each exercise set after the sections, but I don't want to skip the others, I want to see them worked out - that way I can get a really good grip on what's going on. So, without further adieu, can someone help me with the following?
Let , so that
where the and are all rational numbers. If , show that the degree of
is less than .
I don't even know where to begin. I am sophisticated enough, however, to understand if a proof is valid or not due to my introductory course in logic. Thank you all for looking at this post.