Publications

• Publications
• Translations

Publications

• Andrews, George E., and Jordan Bell. “Euler’s Pentagonal Number Theorem and the Rogers-Fine Identity.” Annals of Combinatorics 16, no. 3 (2012): 411–20. https://doi.org/10.1007/s00026-012-0139-4. Zbl 1256.05018

• Bell, Jordan. “A New Method for Constructing Nonlinear Modular n-Queens Solutions.” Ars Combinatoria 78 (2006): 151–55. Zbl 1164.05327.

• Bell, Jordan. “A Summary of Euler’s Work on the Pentagonal Number Theorem.” Archive for History of Exact Sciences 64, no. 3 (2010): 301–73. https://doi.org/10.1007/s00407-010-0057-y. Zbl 1208.01013

• Bell, Jordan. “Cyclotomic Orthomorphisms of Finite Fields.” Discrete Applied Mathematics 161, no. 1–2 (2013): 294–300. https://doi.org/10.1016/j.dam.2012.08.013. Zbl 1364.11155

• Bell, Jordan. “Estimates for the Norms of Products of Sines and Cosines.” Journal of Mathematical Analysis and Applications 405, no. 2 (2013): 530–45. https://doi.org/10.1016/j.jmaa.2013.04.010. Zbl 1311.11098

• Bell, Jordan. “Nonlinear Modular Latin Queen Squares.” Utilitas Mathematica 74 (2007): 71–75. Zbl 1170.05015.

• Bell, Jordan. “Polynomial Modular n-Queens Solutions.” Acta Arithmetica 129, no. 4 (2007): 335–39. https://doi.org/10.4064/aa129-4-4. Zbl 1140.11057

• Bell, Jordan, and Viktor Blåsjö. “Pietro Mengoli’s 1650 Proof that the Harmonic Series Diverges.” Mathematics Magazine 91, no. 5 (2018): 341–47. https://doi.org/10.1080/0025570X.2018.1506656. Zbl 1407.40001

• Bell, Jordan, and Brett Stevens. “A Survey of Known Results and Research Areas for n-Queens.” Discrete Mathematics 309, no. 1 (2009): 1–31. https://doi.org/10.1016/j.disc.2007.12.043. Zbl 1228.05002

• Bell, Jordan, and Brett Stevens. “Constructing Orthogonal Pandiagonal Latin Squares and Panmagic Squares from Modular n-Queens Solutions.” Journal of Combinatorial Designs 15, no. 3 (2007): 221–34. https://doi.org/10.1002/jcd.20143. Zbl 1117.05016

• Bell, Jordan, and Brett Stevens. “Results for the n-Queens Problem on the Möbius Board.” The Australasian Journal of Combinatorics 42 (2008): 21–34. The Australasian Journal of Combinatorics. Zbl 1175.05027

• Bell, Jordan, and Qiang Wang. “Results on Permutations with Distinct Difference Property.” Contributions to Discrete Mathematics 4, no. 1 (2009): 107–11. Contributions to Discrete Mathematics. Zbl 1203.05002

Translations

• Hawking, Stephen (ed.), God Created the Integers: The Mathematical Breakthroughs That Changed History (New Edition). Leonhard Euler, “On the Sums of Series of Reciprocals (De Summis Serierum Reciprocarum)”, pp. 393-399, translated from the Latin by Jordan Bell. Running Press, Philadelphia, 2007. PDF