I believe most of the atheists on this board are quite correct in not falling into the trap of trying to prove there is no God, because it is up to those who say there is to prove it.
That said, if you are seriously looking into atheism, I might mention an excellent anthology titled “The Portable Atheist – Essential Readings for the Nonbeliever”.
Compiled by Christopher Hitchens (author of the best-selling God is Not Great) it is a collection of selected writings of some 50 famous non-believers from the Roman Lucretius through Spinoza, Hobbes, Anatole France, H.P. Lovecraft, Mark Twain, right up to modern thinkers who have abandoned their belief in God. It includes not only western writers but also ex-Muslims like Salmon Rushdie, and Ibn Warraq (author of “Why I am not a Muslim”). Needless to say, Rushdie and Warraq (an assumed name) live in fear of their lives because of religious fanatics. Especially touching is the passage by Ayan Hirsi Ali, the courageous ex-Muslim woman who wrote “Infidel”, who recounts the day she stood at the mirror and said in her own Somali language “I do not believe in God”.
The closest thing a can give you as a short argument FOR atheism, although it is not up to atheists to prove something does not exist, is this quote from Stephen Hawking in A Brief History of Time:
“(Because of the quantum theory of gravity,). . . . .one could say: ‘The boundary condition of the universe is that it has no boundary.’ The universe would be completely self-contained and not affected by anything outside itself. It would neither be created or destroyed. It would just be.”
Now then, while I would never put myself on a level with Hawking, I would add from my simpler viewpoint:
Theists believe in a material universe that was created by an uncreated God who has always existed.
As an atheist, I believe in an uncreated material universe that has always existed. I do not have to prove the material universe exists. It is right there in front of you in the form of your computer screen, the stars in the sky and he Earth under your feet.
Scientists tell us matter cannot be created or destroyed. Why is there omething rather than nothing? Because there cannot be nothing. There must be something and that something is the universe. It cannot NOT exist.
For the rest, it is all a matter of the material universe following natural rules, formation of planets, nuclear fusion creationg suns that give off energy, amino acids, life, evolution, Beethoven, Shakespeare, Hitler, yadda yadda.
No Gods need apply!