To the best of my knowledge, it is still an open question as to whether all the zeros are simple. If you could find that article....

For what it's worth, any number of "proofs" of the Riemann Hypothesis have appeared on the ArXiv. Here are a few (I've not included three more that were withdrawn by the authors).

1006.0381 The Riemann Hypothesis, Ilgar Sh. Jabbarov (Dzhabbarov)

0906.4604 A Proof for the Riemann Hypothesis, Ruiming Zhang

0903.3973 Concerning Riemann Hypothesis, Raghunath Acharya

0802.1764 Riemann Hypothesis may be proved by induction, R. M. Abrarov, S. M. Abrarov [EDIT: It appears that this paper does not actually claim a proof of RH - see Gregory's answer to the question (and my comment on Gregory's answer).]

0801.4072 The Riemann Hypothesis and the Nontrivial Zeros of the General L-Functions, Fayang Qiu

0801.0633 From Bombieri's Mean Value Theorem to the Riemann Hypothesis, Fu-Gao Song

0709.1389 One page proof of the Riemann hypothesis, Andrzej Madrecki

math/0308001 A Geometric Proof of Generalized Riemann Hypothesis, Kaida Shi

math/9909153 Riemann Hypothesis, Chengyan Liu