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The 2-adic valuation of the coefficients of a polynomial

Number Theory 2007-05-23 v1 Classical Analysis and ODEs

Abstract

In this paper we compute the 2-adic valuations of some polynomials associated with the definite integral 0dx(x4+2ax2+1)(m+1)\int_{0}^{\infty} \frac{dx}{(x^4+2*a*x^2+1)^(m+1)}

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Cite

@article{arxiv.math/0308072,
  title  = {The 2-adic valuation of the coefficients of a polynomial},
  author = {G. Boros and V. Moll and J. Shallit},
  journal= {arXiv preprint arXiv:math/0308072},
  year   = {2007}
}

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13 pages