Messages
New version of Notes 7 on the web. No big changes, I have just corrected a series of misprints.
Geir
As you have seen, Kristian Ranestad lectures this week. Next week there will no lectures, and the same applies for monday 17.
I'll be back on wednesday 19. nov.
Geir
New version of Notes 6 about number theory on the web.
I have included the second way of extending zeta to \sigma>0 and corrected a pile of misprints.
G
I have very quickly written down some notes on what we are doing.
Geir
I have very quickly written down some notes on what we are doing.
Geir
The plan is as follows. It is may be to ambitious, we don't have that much time. 4) and 6) are of lowest priority.
Geir
1) Introduction --- 1.3 in Pollack
2) Chebychev's estimates --- 1.5
3) Mertens' estimates --- 1.7
4) Dirichlet series
5) The prime number theorem --- I shall present the proof given by Newman, f. ex in "Complex proofs for real theorems" by Lax et al.
6) Dirichlets theorem about primes in arithemtical progressions --- chapter 2 in Pollack.
Geir
New version (hopefully the final one) of Notes 1 on the web.
G
We start we some parts from the book:
Not Buried Very Deep by Paul Pollack.
You find it on the net:
http://staff.polito.it/danilo.bazzanella/PhD_files/Not%20always%20buried%20deep%20(Pollack).pdf
A very good account of the proof of the prime number theorem I'll give, is found in
Complex Proofs of Real Theorems by Peter Lax and Lawrence Zalcman.
I am away the Wednesday this and next week, so we have to move the lectures.
This week the new time is: Thursday 10.15-12.00
Next week we do it differently. We do 2 hours on Monday 15 and Monday 22 and no lecture on Wed 17.
I'll come back with the rooms.
That is: New times:
Thursday 11/8 from 10.15–12.00
Monday 15/8 from 14.15–16
Monday 22/8 from 14.15–16
No lectures on Wed 10/8 and Wed 17/8
Geir
Very preliminary version of notes 3 on the web. Will be expanded and changed.
G
I said it during the lectures, but just to be clear. The course will have two parts. One about elliptic curves and one about analytic number theory.
The touching point of the two parts will the so called L-functions. Hopefully we shall have time to at least do a little about those.
For elliptic curve part the best book is Silverman's The Arithmetic of Elliptic Curves.The book by Milne is also good, and it has the advantage of being available on the net. Free! You find it at
http://www.jmilne.org/math/Books/ectext5.pdf
I'll come back to texts about analytic number theory.
Geir
New and extended version of notes 1 on the web.
G
The new hours for the course are:
Monday 15.15-16.00 in B63.
Wednesday 10.15-12.00 in B63
Geir