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Experimental Mathematics Volume 17, 2008 - Issue 1
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Original Article

The 2-adic Valuation of Stirling Numbers

Tewodros Amdeberhan Department of Mathematics, Tulane University, New Orleans, LA 70118
,
Dante Manna Department of Mathematics and Statistics, Dalhousie University, Nova Scotia, Canada B3H 3J5
&
Victor H. Moll Department of Mathematics, Tulane University, New Orleans, LA 70118
Pages 69-82 | Published online: 30 Jan 2011

  • T. Amdeberhan, D. Manna, and V. Moll. "The 2-adic Valuation of a Sequence Arising from a Rational Integral." To appear in Jour. Comb. A, 2008.
  • G. Boros and V. Moll. "An Integral Hidden in Gradshteyn and Ryzhik." Jour. Comp. Applied Math. 106 (1999), 361–368.
  • G. Boros and V. Moll. Irresistible Integrals. New York: Cambridge University Press, 2004.
  • G. Boros, V. Moll, and J. Shallit. "The 2- adic Valuation of the Coefficients of a Polynomial." Scientia, 7 (2001), 37–50.
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  • H. Cohen. "On the 2-adic Valuation of the Truncated Polylogarithmic Series." Fib. Quart. 37 (1999), 117-121.
  • S. De Wannemacker. "On the 2-adic Orders of Stirling Numbers of the Second Kind." INTEGERS 5(1) (2005), A–21.
  • S. De Wannemacker. "Annihilating Polynomials for Quadratic Forms and Stirling Numbers of the Second Kind." Math. Nachrichten 280 (2007), 1257-1267.
  • R. Graham, D. Knuth, and O. Patashnik. Concrete Mathematics. Boston: Addison Wesley, 1994.
  • A. M. Legendre. Theorie des Nombres. Paris: Firmin Didot Freres, 1830.
  • T. Lengyel. "On the Divisiblity by 2 of the Stirling Numbers of the Second Kind." Fib. Quart. 32 (1994), 194–201.
  • J. Little. "On the Zeroes of Two Families of Polynomials Arising from Certain Rational Integrals." Rocky Mountain Journal 35 (2005), 1205–1216.
  • A. Lundell. "A Divisiblity Property for Stirling Numbers." J. Number Theory 10 (1978), 35–54.

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