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On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors |
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| Authors: | R Balasubramanian M Langevin T N Shorey M Waldschmidt |
| Institution: | (1) The Institute of Mathematical Sciences, 600113 Madras, India;(2) U.F.R. Mathématique (M2), Université Lille 1 Math., F-59655 Villeneuve d'Ascq Cedex, France;(3) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005 Bombay, India;(4) Mathématiques T. 45-46, 5ème Et., Case 247, Université P. et M. Curie (Paris VI), 4, Place Jussieu, F-75252 Paris Cedex 05, France |
| Abstract: | In this paper we consider an analogue of the problem of Erd s and Woods for arithmetic progressions. A positive answer follows from theabc conjecture. Partial results are obtained unconditionally. |
| Keywords: | Primary 11B25 Secondary 11J86 11N25 |
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