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The structural and other characteristics of the Hoppenot multiple square equation are analysed in the context of the modular ring Z4. This equation yields a left-hand-side and a right-hand-side sum equal to Pn (24Tn + 1) in which Pn, Tn represent the pyramidal and triangular numbers, respectively. This sum always has 5 as a factor. Integer structure analysis is also used to solve some related problems.
- Integer structure analysis
- Modular rings
- Hoppenot equation
- Triangular numbers
- Pentagonal numbers
- Pyramidal numbers
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Cite this paperAPA
Leyendekkers, J., & Shannon, A.(2012). On sums of multiple squares, Notes on Number Theory and Discrete Mathematics, 18(1), 9-15.Chicago
Leyendekkers, JV, and AG Shannon. “On Sums of Multiple Squares.” Notes on Number Theory and Discrete Mathematics 18, no. 1 (2012): 9-15.MLA
Leyendekkers, JV, and AG Shannon. “On Sums of Multiple Squares.” Notes on Number Theory and Discrete Mathematics 18.1 (2012): 9-15. Print.