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I was looking up some stuff when I stumbled across S unit equations. It seems to me that they are quite helpful in number theory, as given in this paper.

http://faculty.nps.edu/pstanica/research/fiboprimeProcAMS.pdf

Here, the authors prove that there are only a finite number of Fibonacci numbers that are the sum of two prime powers. As an example, they exhibit a class where infinitely many Fibonacci numbers belong and are not the sum of two prime powers. While the example is produced using a covering system, the lemma cited is that of S unit equations. I looked up on net, but could not find a good introductory material on them.

So where can I find a good, relatively self-contained(not a major constraint though,this) introduction for S unit equations?

Any help will be appreciated. Thanks in advance.

edited Feb 2 2012 at 20:09

asked Feb 2 2012 at 19:48

Nikhil Bellarykar
72●5

	Also posted to math.stackexchange.com/questions/105019/… without notifying either site of the post to the other. – Gerry Myerson Feb 2 2012 at 23:27
	Gerry: point taken. Will notify from now on. – Nikhil Bellarykar Feb 3 2012 at 18:54

Felipe Voloch · Accepted Answer · 2012-02-02 21:29:33Z UTC

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Lang: Fundamentals of diophantine geometry,Ch. 8, or Bombieri and Gubler: Heights in Diophantine Geometry Ch. 5.

answered Feb 2 2012 at 21:29

Felipe Voloch
16.7k●2●36●61

thanks. I will try looking into those. – Nikhil Bellarykar Feb 3 2012 at 18:53

A good introduction to S unit equations

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