Research Publications for Kevin A Broughan

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• Broughan, K. (2021). Bounded gaps between primes: The epic breakthroughs of the early twenty-first century. Cambridge University Press.

  Other publications by:
  BROUGHAN, Kevin A

• Broughan, K., & Delbourgo, D. (2017). Corrigendum: A conjecture of De Koninck regarding particular values of the sum of divisors function. Journal of Number Theory, 180, 790-792. doi:10.1016/j.jnt.2017.04.010

  Open Access version at:
  https://hdl.handle.net/10289/11161
  Other publications by:
  BROUGHAN, Kevin A :: DELBOURGO, Daniel

• Broughan, K. (2017). Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents. Cambridge University Press. doi:10.1017/9781108178228

  Other publications by:
  BROUGHAN, Kevin A

• Broughan, K. (2017). Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents. Cambridge University Press. doi:10.1017/9781108178266

  Other publications by:
  BROUGHAN, Kevin A

• Broughan, K. A., & Trudgian, T. S. (2015). Robin's inequality for 11-free integers. Integers : Electronic Journal of Combinatorial Number Theory, 15, 5 pages.

  Open Access version at:
  https://hdl.handle.net/10289/11397
  Other publications by:
  BROUGHAN, Kevin A

• Broughan, K., Delbourgo, D., & Zhou, Q. (2014). A conjecture of De Koninck regarding particular square values of the sum of divisors function. Journal of Number Theory, 137, 50-66. doi:10.1016/j.jnt.2013.10.011

  Open Access version at:
  https://hdl.handle.net/10289/11326
  Other publications by:
  BROUGHAN, Kevin A :: DELBOURGO, Daniel :: ZHOU, Qizhi (Zoe)

• Broughan, K. A., & Zhou, Q. (2014). On the ratio of the sum of divisors and Euler’s totient function II. Journal of Integer Sequences, 17(9), 22 pages. Retrieved from https://cs.uwaterloo.ca/journals/JIS/VOL17/Broughan/bro32.html

  Open Access version at:
  https://hdl.handle.net/10289/9375
  Other publications by:
  BROUGHAN, Kevin A

• Broughan, K. (2014). Quadrafree factorisatio numerorum. Rocky Mountain Journal of Mathematics, 44(3), 791-807. doi:10.1216/RMJ-2014-44-3-791

  Other publications by:
  BROUGHAN, Kevin A

• Broughan, K. A., Sanchez, S. G., & Luca, F. (2013). Perfect repdigits. Mathematics of Computation, 82(284), 2439-2459. doi:10.1090/S0025-5718-2013-02682-8

  Open Access version at:
  https://hdl.handle.net/10289/8003
  Other publications by:
  BROUGHAN, Kevin A

• Broughan, K. A., & Delbourgo, D. (2013). On the ratio of the sum of divisors and Euler's Totient Function I. Journal of Integer Sequences, 16(8), 1-16. Retrieved from https://cs.uwaterloo.ca/journals/JIS/VOL16/Broughan/broughan26.html

  Open Access version at:
  https://hdl.handle.net/10289/8429
  Other publications by:
  BROUGHAN, Kevin A :: DELBOURGO, Daniel