Publications

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Author Title Type [ Year(Desc)]
2009
Hare, K. G. . (2009). Infinite Barker series. J. Number Theory, 129(12), 2991–2999. doi:10.1016/j.jnt.2009.05.011
Hare, K. G. , McKinnon, D. , & Sinclair, C. D. . (2009). Patterns and periodicity in a family of resultants. J. Théor. Nombres Bordeaux, 21(1), 215–234. Retrieved from http://jtnb.cedram.org/item?id=JTNB_2009__21_1_215_0
Hare, K. G. . (2009). Tiles in quasicrystals with quartic irrationality. Math. Comp., 78(265), 405–420. doi:10.1090/S0025-5718-08-02137-6
Bell, J. P. , & Hare, K. G. . (2009). On Z-modules of algebraic integers. Canad. J. Math., 61(2), 264–281. doi:10.4153/CJM-2009-013-9
2010
Hare, K. G. . (2010). More variations on the Sierpinski sieve. Canad. J. Math., 62(3), 543–562. doi:10.4153/CJM-2010-036-3 maple_code_for_computing_ifs.txt
Hare, K. G. , & Yazdani, S. . (2010). Fekete-like polynomials. J. Number Theory, 130(10), 2198–2213. doi:10.1016/j.jnt.2010.03.019
Hare, K. G. , & Sidorov, N. . (2010). A lower bound for Garsia’s entropy for certain Bernoulli convolutions. LMS J. Comput. Math., 13, 130–143. doi:10.1112/S1461157008000430 maple_code_for_garsia_entropy.tar.gz
2011
Hare, K. G. , Morris, I. D. , Sidorov, N. , & Theys, J. . (2011). An explicit counterexample to the Lagarias-Wang finiteness conjecture. Adv. Math., 226(6), 4667–4701. doi:10.1016/j.aim.2010.12.012
Hare, K. G. . (2011). Generalized Gorshkov-Wirsing polynomials and the integer Chebyshev problem. Exp. Math., 20(2), 189–200. doi:10.1080/10586458.2011.564545 p14_gw_data.tar.gz p14_gw.tar.gz
Hare, K. G. , Laishram, S. , & Stoll, T. . (2011). Stolarsky’s conjecture and the sum of digits of polynomial values. Proc. Amer. Math. Soc., 139(1), 39–49. doi:10.1090/S0002-9939-2010-10591-9
Hare, K. G. , Laishram, S. , & Stoll, T. . (2011). The sum of digits of n and n2. Int. J. Number Theory, 7(7), 1737–1752. doi:10.1142/S1793042111004319
2012
Bell, J. P. , & Hare, K. G. . (2012). Corrigendum to ‘‘On Z-modules of algebraic integers’’ [\refcno 2504015]. Canad. J. Math., 64(2), 254–256. doi:10.4153/CJM-2011-072-5
2013
Hare, K. G. , Morris, I. D. , & Sidorov, N. . (2013). Extremal sequences of polynomial complexity. Math. Proc. Cambridge Philos. Soc., 155(2), 191–205. doi:10.1017/S0305004113000157
Hare, K. G. , & Panju, M. . (2013). Some comments on Garsia numbers. Math. Comp., 82(282), 1197–1221. doi:10.1090/S0025-5718-2012-02636-6 garsiadatadegree40.txt.gz garsiasearch_0.java_.gz
Hare, K. G. , & Mossinghoff, M. J. . (2013). Sporadic Reinhardt polygons. Discrete Comput. Geom., 49(3), 540–557. doi:10.1007/s00454-012-9479-4
2014
Hare, K. G. , & Sidorov, N. . (2014). On cycles for the doubling map which are disjoint from an interval. Monatsh. Math., 175(3), 347–365. doi:10.1007/s00605-014-0646-y
Bell, J. P. , Coons, M. , & Hare, K. G. . (2014). The minimal growth of a k-regular sequence. Bull. Aust. Math. Soc., 90(2), 195–203. doi:10.1017/S0004972714000197
Chan, D. H. - Y. , & Hare, K. G. . (2014). A multi-dimensional analogue of Cobham’s theorem for fractals. Proc. Amer. Math. Soc., 142(2), 449–456. doi:10.1090/S0002-9939-2013-11843-5
Hare, K. G. , & Mossinghoff, M. J. . (2014). Negative Pisot and Salem numbers as roots of Newman polynomials. Rocky Mountain J. Math., 44(1), 113–138. doi:10.1216/RMJ-2014-44-1-113
Hare, K. G. , Prodinger, H. , & Shallit, J. . (2014). Three series for the generalized golden mean. Fibonacci Quart., 52(4), 307–313. Retrieved from https://www.fq.math.ca/Abstracts/52-4/hare.pdf

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