Patients self-administer alpha interferon by injection under the skin three times weekly. They will visit the clinic every 2 to 12 weeks for follow-up. Patients will receive alpha interferon for 1 year after LYG goes away, depending on response. EPOCH-R has these drugs: rituximab by vein on Day 1; prednisone by mouth on Days 1 to 5; etoposide, doxorubicin, and vincristine as a continuous intravenous infusion on Days 1 to 5; and cyclophosphamide by intravenous injection over 1 hour on Day 5. Each cycle lasts 3 weeks: 5 days of chemotherapy and 16 days of no chemotherapy. Etoposide, doxorubicin, and vincristine are infused through a small pump worn by patients. The drugs are given over 5 days through a central intravenous catheter. There are two cycles of EPOCH-R beyond a maximum response, with six cycles minimum. To reduce harm to bone marrow, patients receive granulocyte colony stimulating factor (G-CSF), self-administered by injection under the skin daily for approximately 10 days between chemotherapy cycles. If at the end of therapy, patients have a complete response, treatment will stop. If there is residual low grade disease, patients may receive alpha interferon. Alpha interferon can have flu-like side effects of headache, fever, chills, and body aches. EPOCH-R drugs can cause gastrointestinal problems, hair loss, and weakness. G-CSF can cause bone pain, body aches, and hair thinning. Chemotherapy can cause some patients to develop leukemia.