Research Publications for Kevin A Broughan
Welcome to the University of Waikato research publications search. This database includes all research publications produced by the University from 1998.
Author's Publications
Search our Staff Profiles to contact our current staff members.
Broughan, K. (2021). Bounded gaps between primes: The epic breakthroughs of the early twenty-first century. Cambridge University Press.
Other publications by:
BROUGHAN, Kevin ABroughan, K. (2017). Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents. Cambridge University Press. doi:10.1017/9781108178228
Other publications by:
BROUGHAN, Kevin ABroughan, 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, DanielBroughan, K. (2017). Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents. Cambridge University Press. doi:10.1017/9781108178266
Other publications by:
BROUGHAN, Kevin ABroughan, K. A., & Trudgian, T. S. (2015). Robin's inequality for 11-free integers. Integers : Electronic Journal of Combinatorial Number Theory, 15, 5 pages.
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 ABroughan, 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
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., Sanchez, S. G., & Luca, F. (2013). Perfect repdigits. Mathematics of Computation, 82(284), 2439-2459. doi:10.1090/S0025-5718-2013-02682-8
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
See Also: Research Links | Student Research Theses | Research Commons