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A class of Diophantine equations involving Bernoulli polynomials

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Publication:555947
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DOI10.1016/S0019-3577(05)80014-XzbMath1105.11006MaRDI QIDQ555947

Balasubramanian Sury, Manisha V. Kulkarni

Publication date: 10 June 2005

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)



Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Counting solutions of Diophantine equations (11D45)


Related Items (5)

The exact number of real roots of the Bernoulli polynomials ⋮ Diophantine equations with Appell sequences ⋮ Decomposition of a recursive family of polynomials ⋮ Polynomial values of (alternating) power sums ⋮ Complete decomposition of Dickson-type polynomials and related Diophantine equations



Cites Work

  • On the Diophantine equation \(x(x + 1)(x + 2)\dots (x + (m - 1)) =g(y)\)
  • The Diophantine equation f(x) = g(y)
  • Diophantine equations with Bernoulli polynomials
  • The Diophantine equation x(x+1)...(x+(m-1)) + r= yn
  • Unnamed Item


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