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International Journal of Mathematical Education in Science and Technology Volume 45, 2014 - Issue 2
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Classroom notes

Summing every ath term of a series using the roots of unity

Christopher S. WithersApplied Mathematics Group, Industrial Research Limited, Lower Hutt, New Zealand
&
Saralees NadarajahSchool of Mathematics, University of Manchester, ManchesterM13 9PL, UKCorrespondence[email protected]
Pages 303-311 | Received 13 Feb 2013, Accepted 04 May 2013, Published online: 30 Jul 2013

References

  • Chen H. On the summation of subseries in closed form. Int J Math Ed Sci Tech. 2010;41:538–547.
  • Chen Z, Wei S, Xiao X. Finding sums for an infinite class of alternating series. Int J Math Ed Sci Tech. 2012;43:694–702.
  • Gradshteyn IS, Ryzhik IM. Tables of integrals, series and products. 6th ed. New York (NY): Academic Press; 2000.
  • Abramowitz M, Stegun IA. Handbook of mathematical functions. Vol. 55, Applied mathematics series. United States Department of Commerce, National Bureau of Standards; 1964.
  • Comtet L. Advanced combinatorics. Reidel: Dordrecht; 1974.

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