The logo should be essentially just the word Lingzini.
There could be subtle/small additional graphical elements, but we can also imagine being quite happy with just a clean, simple treatment of the word itself.
The brand associations for Lingzini should be:
* but also a bit fun...
Lingzini could be thought of as the marriage of a hip ad agency and a sophisticated literary journal.
The logo will be delivered as vector art (.eps or .ai)
The company's website will use verdana as the body typeface.
Remember...highly readable, striking on a plain white screen at 200x48px. Indeed, you should post your design in a way that it fills the space on a plain white background so we can see very clearly how the logo renders on a web page.