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Exponential Diophantine Equations Involving Products of Consecutive Integers and Related Equations

  • Chapter
Number Theory

Abstract

This paper contains an account of the results on the following topics:

  1. 1.

    Squares in products from a block of consecutive integers

  2. 2.

    Equal products of consecutive integers

  3. 3.

    An equation of Goormaghtigh

  4. 4.

    An equation of Nagell-Ljunggren

  5. 5.

    Equal products of integers in arithmetic progressions

  6. 6.

    The greatest prime factor of integers in arithmetic progression

  7. 7.

    Cubes and higher powers in products from a block of consecutive integers

  8. 8.

    Perfect powers in products of integers in arithmetic progression

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  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai, 400 005, India

    T. N. Shorey

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  1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India

    R. P. Bambah , V. C. Dumir  & R. J. Hans-Gill ,  & 

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© 2000 Hindustan Book Agency and (India) Indian National Science Academy

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Shorey, T.N. (2000). Exponential Diophantine Equations Involving Products of Consecutive Integers and Related Equations. In: Bambah, R.P., Dumir, V.C., Hans-Gill, R.J. (eds) Number Theory. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-02-6_22

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