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On the diophantine equation \(\varvec{y^{2} = \prod _{i \le 8}(x + k_i)}\)

  • R Srikanth
  • S Subburam
Article

Abstract

This paper improves the result of Tengely (Periodica Math. Hung., 72(1) (2016) 23–28).

Keyword

Diophantine equation 

2010 Mathematics Subject Classification

11D41 11D45 

Notes

Acknowledgements

The first author (RS) gratefully acknowledges the TATA Realty and Infrastructure Limited for its financial support.

References

  1. 1.
    Srikanth R and Subburam S, On the Diophantine equation \(y^{n} = f(x)^{n} + g(x)\), NNTDM, 17(3) (2011) 18–21zbMATHGoogle Scholar
  2. 2.
    Srikanth R and Subburam S, Superelliptic equations of the form \(y^{p} = x^{kp} + a_{kp - 1}x^{kp - 1} + \cdots +a_{0}\), J. Algebra and Number Theory Academia, 2(6) (2012) 331–335Google Scholar
  3. 3.
    Szalay L, Superelliptic equations of the form \(y^{p} = x^{kp} + a_{kp - 1}x^{kp - 1} + \cdots +a_{0}\), Bull. Greek Math. Soc., 46 (2002) 23–33MathSciNetzbMATHGoogle Scholar
  4. 4.
    Tengely Sz, On a problem of Erdős and Graham, Periodica Math. Hung., 72(1) (2016) 23–28MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Indian Academy of Sciences 2018

Authors and Affiliations

  1. 1.Department of MathematicsSASTRA UniversityThanjavurIndia
  2. 2.Department of Mathematics, Srinivasa Ramanujan CentreSASTRA UniversityKumbakonamIndia

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