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Summation Problems

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S.M.A.R.T. Circle Projects

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Abstract

We consider some problems on expressing positive integers as sums of powers of 2.

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Bibliography

  • [1] Robert Barrington Leigh and Richard Ng, Zigzag, Mathematics Competitions, 10 (1997) 38-42, republished in Hungarian as Cikcakk, Abacus 4 (1998) 318–320’.

    Google Scholar 

  • [2] A. Engel, Problem-Solving Strategies, Springer, New York, (1997) 1–23.

    Google Scholar 

  • [3] D. Fomin, S. Genkin and I. Itenberg, Mathematical Circles, Amer. Math. Soc., Providence, (1996) 123–133, 254–257.

    Google Scholar 

  • [4] R. Honsburger, Mathematical Gems II, Math. Assoc, Amer., Washington, (1976) 23–28.

    Google Scholar 

  • [5] Andy Liu, “Hungarian Problem Book IV (1947–1963)”, Mathematical Association of America (2001) 2 and 34–35.

    Google Scholar 

  • [6] Jerry Lo, Two Great Escapes, Delta K, 43-2 (2005) 23–27.

    Google Scholar 

  • [7] Dennis Situ and Steven Xia, The Powers of Two, Mathematics Competitions, 28 (2015) #2, 37-41.

    Google Scholar 

  • [8] Jordan Tabov and Peter Taylor, Methods of Problem Solving I, Austral. Math. Trust, Canberra, (1996) 93–109.

    Google Scholar 

  • [9] Peter Taylor, Tournament of the Towns 1980–1984, Austral. Math. Trust, Canberra, (1993) 31, 37–39.

    Google Scholar 

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Correspondence to Andrew Chiang-Fung Liu .

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Liu, A.CF. (2018). Summation Problems. In: S.M.A.R.T. Circle Projects. Springer Texts in Education. Springer, Cham. https://doi.org/10.1007/978-3-319-56811-9_7

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  • DOI: https://doi.org/10.1007/978-3-319-56811-9_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-56810-2

  • Online ISBN: 978-3-319-56811-9

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