Display the Titles of Posts in a Page

Hi
I’m trying to accomplish something on my blog but i need your help.

I want to create a new page on which i will display the titles of the posts contained in a specific category. The titles would be linked to the posts url. A bit like the result page when you search on your blog, except without the date and the other info displayed. I want just the linked titles on my page.

So on this page i could add content at the top and the titles of my posts would be displayed after my content. When i add a new post in my category, the linked title would automatically appear on this “page”.

So i suppose I have to create a new php template which i will select when writing the page in my wordpress admin. I duplicated the archive.php and tried to modify it without success.

Read the following articles to get an idea of the code i need:
Theme Hacks
Listing Posts from one Category

Thank you for your help!