Thanks for providing more information.
Sorry for late reply and inconvenience.
As you describe your symptoms are suggestive of Cervical spondylosis (any condition that puts pressure on the nerves where they leave the spinal column which after passing from neck radiate to arms and fingers.) can result in radiating numbness,pain, tingling sensation in arms, hands and fingers.
As you have arthritis,so it may be possible that you may have degenerative arthritic changes in neck resulting in pressure on nerves.
So you should undergo an MRI/X-Ray examination of the cervical spine ( AP and lateral views) and a clinical examination by either Orthopedist or Neurologist for further evaluation and management.
Further Nerve conduction velocity (NCV)followed by electromyography (EMG) can be advised as well.
These tests are usually advised by a neurologist after undergoing a clinical examination(reflex monitoring ,muscle strength , power ,tone).
Take proper rest and also go for physical therapy for pain management.
Take short breaks of rest while doing work on computer.
Do gentle massage with muscle relaxant ointment and apply warm compresses on neck .
Also take OTC Motrin.
I hope this helps.
If you have any further query then feel free to ask.
Positive feedback and bonus are highly appreciated.