Recent content by jian1

never mind, I figured it out. :) thanx

say you have a function f(z) with all the desired poles, and another function g(z) with desired zeros, since both poles are zeros are distinct, a function f(z)g(z) will be a meromorphic function with both desired poles and zeros. Now the problem is that singular part(s) in f(z) is no longer...

Homework Statement Let G be a region and let {a_n} and {b_m} be two sequences of distinct points in G such that a_n != b_m for all n,m. Let S_n(z) be a singular part at a_n and let p_m be a positive integer. Show that there is a meromorphic function f on G whose only poles and zeros are...

Please someone , these questions will be on the final examination and it'll take place tomorrow, none of us had got these questions so far... :(

1. is to solve the equation, means to get the x, and I have no clue... 2.I think it's solvable, thus I used hensel lemma and got f'(x)=2x with |f(x)|_7... but haven't got a number which can satisfy the equation 3. for n+1, up to n^2 there will be n^2+1, and minus the n one in p^n, thus u...

1. x^4+2x^3+3x^2+4x+5=0 2. is the equation x^2=2 solvable in 7-adic numbers? 3. find the group Gal(F_p^n^2/ F_p^n), I got n^2-n+1... is it right?