When the range top burners and the oven are both not lighting, I recommend you check if the manual shut-off valve to the range has been turned off. With most of my gas ranges, you have to remove the drawer to reach the shut-off valve. (so If you have propane, make sure that your tank isn't low.
Make sure that your home is well ventilated; open the windows and check the range in a while. I live in an area where we had to add a whole house ventilator. We had days where the house would seem stuffy and none of the burners would light. (Appliances with pilot lights went out.) This was due to excess carbon dioxide shifting from nearby coal and natural gas deposits.
It is possible for the igniters to fail if there is power to the range, but usually not the oven, the broiler and all of the top burners at once. You can test the top burners carefully with a long handled butane lighter or a long match. Turn on the hood fan and set a burner to the Lite position. Carefully, light the lighter near the burner or bring the lit match to the burner. If the gas is flowing properly and there is sufficient oxygen, it should light. Then remove the lighter or match and put it out. Then adjust the burner temperature.
The manual for the ARGS7650SS is available from Amana. The direct link is here: http://shared.whirlpoolcorp.com/assets/pdfs/literature/31810401.PDF
. Many newer Amana product manuals are available here: http://shop.amana.com/product_literature/search.jsp
I hope this helps.
(note: you should also make sure that the regulator cap is correctly set for your type of gas (LP or NG). The gas flow rates are different enough to make the regulator fail. Most ranges are shipped for with the cap set for NG. Turn off the gas and unplug the electrical cord before working on the regulator cap. The burner orifices need to be changed as well as some other adjustments to convert from NG to LP. See pages 9-11 of the manual for details.)