An Efficient Route to Tate's Thesis I want to learn Tate's thesis. My advisor suggested the Book "Algebraic Number Theory" By Lang. However, it seems to be a long read before I reach Tate's Thesis. I want to know what are other good references to learn Tate's Thesis.
My background is a standard course in Algebra, some Commutative algebra and Galois Theory. However, I have not had any Algberaic Number Theory before.
In my search, I came across the book Automorphic Forms by Anton Deitmar. They cover Tate's Thesis over rationals instead of arbitrary number fields. Is this a good way to learn Tate's Thesis or will I loose to much by considering only rationals? Also, this book discusses a lot of things in beginning which do not seem to be covered in Lang. So, I am a little skeptical about this book.
So finally, my question is how to understand Tate's thesis as quickly as possible with the above background?