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which is nearly 1 if K is large . Thus if n and n+1 both satisfy (1 .3) and if we view v(n) and v(n+l) as "independent events", then the "probability" that (L2) holds should be at least (2K Vlog log n)-1 . Summing these probabilities would then give order of magnitude x1f log log x solutions n of (1 .2) with n-x, thus supporting the conjecture. A refinement of this heuristic argument even sugge...
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ژورنال
عنوان ژورنال: Indian Journal of Pure and Applied Mathematics
سال: 2018
ISSN: 0019-5588,0975-7465
DOI: 10.1007/s13226-018-0270-y