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math.NT2011
Positive Proportion of Small Gaps Between Consecutive Primes
D. A. Goldston, J. Pintz, C. Y. Yildirim
We prove that a positive proportion of the gaps between consecutive primes are short gaps of length less than any fixed fraction of the average spacing between primes.
math.NT2005
Arithmetic progressions consisting of unlike powers
N. Bruin, K. Gyory, L. Hajdu +1
In this paper we present some new results about unlike powers in arithmetic progression. We prove among other things that for given and there are only finitely…
math.NT1998
Integer solutions of a sequence of decomposable form inequalities
Kalman Gyory, Min Ru
In this paper, we prove the finiteness of the number of integer solutions of the decomposable form inequalities. We also study the number of integer solutions of a sequence of deco…