Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Given $n \in \mathbb{Z}$, is it possible to construct a holomorphic function $f : \mathbb{C} \rightarrow \mathbb{C}$ such that $f(n) \neq 0$, but for any integer $m \neq n$ we have $f(m)=0$?

This is actually a homework problem in algebra which I reduced to this statement (in case it is correct).

share|cite|improve this question
up vote 4 down vote accepted

Here's a hint: $\dfrac{\sin z}{z}$.

share|cite|improve this answer
    
Got it! Thanks. – Elena Jun 9 '12 at 9:36
    
You're welcome! – Hans Lundmark Jun 9 '12 at 9:39

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.