On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors

Author:

Balasubramanian R.,Langevin M.,Shorey T. N.,Waldschmidt M.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference5 articles.

1. Balasubramanian, R., Shorey, T. N., Waldschmidt, M.: On the maximal length of two sequences of consecutive integers with the same prime divisors. Acta Math. Hung.54, 225?236 (1989).

2. Györy, K.: Explicit upper bounds for the solutions of some Diophantine equations. Ann. Acad. Sci. Fenn. Ser. A. I.5, 3?12 (1980).

3. Lang, S.: Algebra, 3rd edn. Reading, Mass.: Addison Wesley. 1993.

4. Shorey, T. N., Tijdeman, R.: On the greatest prime factor of an arithmetical progression. In: A Tribute to Paul Erd?s (A. Baker, B. Bollobas, A. Hajnal, eds.) pp. 385?389. Cambridge: Univ. Press. 1990.

5. Sylvester, J. J.: On arithmetical series. Messenger of Math.21, 1?19 and 87?120; Math. Papers IV, pp. 686?731. Cambridge. 1912.

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