@manuascript {35219, title = {Equicontractive weak separation property on the line does not imply convex finite type condition}, year = {10040}, url = {https://arxiv.org/abs/2403.00693}, author = {Kevin G Hare} } @article {36684, title = {Greedy Beta-expansions for families of Salem numbers}, year = {Submitted}, url = {https://arxiv.org/abs/2504.10787}, author = {Kevin G. Hare and Liam Orovec} } @article {35218, title = {Totally real algebraic numbers in generalized Mandelbrot set}, year = {Submitted}, url = {https://arxiv.org/abs/2405.10395}, author = {Kevin G Hare and Chatchai Noytaptim} } @article {36599, title = {Bounding the local dimension of the convolution of measures}, journal = {Real Anal. Exchange}, year = {Accepted}, url = {https://arxiv.org/abs/2502.18337}, author = {Kevin G. Hare and Joaquin Prandi} } @article {32348, title = {Computational progress on the unfair 0-1 polynomial Conjecture}, journal = {Experimental Mathematics}, year = {Accepted}, url = { https://doi.org/10.1080/10586458.2025.2527786}, author = {Kevin G. Hare} } @article {30293, title = {Self-similar measures with unusual local dimension properties}, journal = {Asian Journal of Mathematics}, year = {Accepted}, url = {https://arxiv.org/abs/2201.12196}, author = {Kevin G. Hare} } @article {31433, title = {The Minkowski sum of linear Cantor sets}, journal = {Acta Arithmetica}, volume = {212}, year = {2024}, pages = {173-183}, url = {https://arxiv.org/abs/2210.07671}, author = {Kevin G. Hare and Nikita Sidorov} } @article {29518, title = {Non-expansive matrix number systems with bases similar to certain Jordan blocks}, journal = {Journal of Combinatorial Theory, Series A}, volume = {202}, year = {2024}, pages = {21 pp}, url = {https://doi.org/10.1016/j.jcta.2023.105828}, author = {Caldwell, Joshua W. and Hare, Kevin G. and Tom{\'a}{\v s}, Tom{\'a}{\v s}} } @article {32347, title = {Self-similar sets and self-similar measures in the $p$-adics}, journal = {Journal of Fractal Geometry}, volume = {11}, year = {2024}, pages = {247-287}, url = {https://ems.press/journals/jfg/articles/14298107}, author = {Kevin G. Hare and Tomas Vavra} } @article {11882, title = {Applications of Integer and Semi-Infinite Programming to the Integer Chebyshev Problem}, journal = {Experimental Mathematics}, volume = { 2}, year = {2022}, pages = {694--700}, url = {https://doi.org/10.1080/10586458.2019.1691089}, author = {Kevin G. Hare and Philip W. Hodges} } @article {22040, title = {Generalised Fibonacci sequences constructed from balanced words}, journal = {Journal of Number Theory}, volume = {231}, year = {2022}, pages = {349--377}, url = {https://doi.org/10.1016/j.jnt.2021.05.008}, author = {Kevin G. Hare and J. C. Saunders} } @article {23505, title = {Computing Garsia Entropy for Bernoulli Convolutions with Algebraic Parameters}, journal = {Nonlinearity}, volume = {34}, year = {2021}, pages = {4744--4763}, url = {https://iopscience.iop.org/article/10.1088/1361-6544/abf849/pdf}, author = {Kevin G. Hare and Tom Kempton and Tomas Persson and Nikita Sidorov} } @article {26085, title = {Conjugates of Pisot numbers}, journal = {Int. J. Number Theory}, volume = {17}, year = {2021}, pages = {1307--1321}, url = {https://dx.doi.org/10.1142/S1793042121500378}, author = {Hare, Kevin G. and Sidorov, N.} } @article {26344, title = {On a family of self-affine IFS whose attractors have non-fractal top}, journal = {Fractals}, volume = {29}, year = {2021}, url = {https:///dx.doi.org/10.1142/S0218348X21501590 }, author = {Kevin G. Hare and Nikita Sidorov} } @article {21065, title = {The Lq-spectrum for a class of self-similar measures with overlap}, journal = {Asian Journal of Mathematics}, volume = {25}, year = {2021}, pages = {195--228}, url = {https://dx.doi.org/10.4310/AJM.2021.v25.n2.a3}, author = {Kathryn E. Hare and Kevin G. Hare and Wanchun Shen} } @article {22041, title = {On Newman and Littlewood polynomials with prescribed number of zeros inside the unit disk}, journal = {Math of Computation}, volume = {90}, year = {2021}, pages = {831--870}, url = {https://doi.org/10.1090/mcom/3570 }, author = {Kevin G. Hare and Jonas Jankauskas} } @article {23842, title = {When the Weak Separation Condition implies the Generalized Finite Type Condition}, journal = {Proc. AMS}, volume = {149}, year = {2021}, pages = {1555--1568}, url = {https://doi.org/10.1090/proc/15307}, author = {Kathryn E. Hare and Kevin G. Hare and Alex Rutar} } @article {24101, title = {Intermediate Assouad-like dimensions for measures}, journal = {Fractals}, volume = {28}, year = {2020}, url = {https://doi.org/10.1142/S0218348X20501431}, author = {Kathryn E. Hare and Kevin G. Hare} } @article {13689, title = {Quasi-doubling of self-similar measures with overlaps}, journal = {Journal of Fractal Geometry}, volume = {7}, year = {2020}, pages = {233-270}, url = {https://doi.org/10.4171/JFG/91}, author = {Kathryn E. Hare and Kevin G. Hare and Sascha Troscheit} } @article {12011, title = {The Assouad spectrum and the quasi-Assouad dimension: a tale of two spectra}, journal = {Annales Academi{\ae} Scientiarum Fennic{\ae} Mathematica}, volume = {24}, year = {2019}, pages = {379--387}, url = {https://www.acadsci.fi/mathematica/Vol44/vol44pp0379-0387.pdf}, author = {Jonathan M. Fraser and Kathryn E. Hare and Kevin G. Hare and Sascha Troscheit and Han Yu} } @article {14566, title = {The Entropy of Cantor--like measures}, journal = {Acta Math. Hungar.}, year = {2019}, url = {https://doi.org/10.1007/s10474-019-00962-1}, author = {Kathryn E. Hare and Kevin G. Hare and Brian P. M. Morris and Wanchun Shen} } @article {672, title = {Local dimensions of measures of finite type on the torus}, journal = {Asian Journal of Mathematics}, volume = {23}, year = {2019}, pages = {127--156}, url = {https://dx.doi.org/10.4310/AJM.2019.v23.n1.a7}, author = {Kathryn E. Hare and Kevin G. Hare and Kevin R. Matthews} } @article {13685, title = {Local dimensions of overlapping self-similar measures}, journal = {Real Analysis Exchange}, volume = {44}, year = {2019}, pages = {247--265}, url = {https://projecteuclid.org/journals/real-analysis-exchange/volume-44/issue-2/Local-Dimensions-of-Overlapping-Self-Similar-Measures/10.14321/realanalexch.44.2.0247.full}, author = {Kathryn E. Hare and Kevin G. Hare} } @article {HareMossinghoff14, title = {Most Reinhardt polygons are sporadic}, journal = {Geometriae Dedicata}, volume = {198}, year = {2019}, note = {

18 pages

}, pages = {1--18}, url = {https://doi.org/10.1007/s10711-018-0326-5}, author = {Kevin G. Hare and Michael J. Mossinghoff} } @article {681, title = {On (a,b) Pairs in Random Fibonacci Sequence}, journal = {Journal of Number Theory}, volume = {190}, year = {2018}, pages = {352-366}, url = {https://doi.org/10.1016/j.jnt.2018.03.002}, author = {Kevin G. Hare and J. C. Saunders} } @article {4901, title = {The baker\&$\#$39;s map with a convex hole}, journal = {Nonlinearity}, volume = {31}, year = {2018}, pages = {3174-3202}, url = {https://iopscience.iop.org/article/10.1088/1361-6544/aab595/pdf}, author = {Lyndsey Clark and Kevin G. Hare and Nikita Sidorov} } @article {363, title = {Local dimensions of measures of finite type II - Measures without full support and with non-regular probabilities.}, journal = {Canadian Journal of Mathematics}, volume = {70}, year = {2018}, pages = {824-867}, url = {http://dx.doi.org/10.4153/CJM-2017-025-6}, author = {Kathryn E. Hare and Kevin G. Hare and Michael Ka Shing Ng} } @article {5122, title = {Local dimensions of measures of finite type III - Measures that are not equicontractive}, journal = {Journal of Mathematical Analysis and Applications}, volume = {458}, year = {2018}, pages = {1653-1677}, url = {https://doi.org/10.1016/j.jmaa.2017.10.037}, author = {Kathryn E. Hare and Kevin G. Hare and Grant Simms} } @article {7443, title = {Local dimensions of random homogeneous self-similar measures: strong separation and finite type}, journal = {Mathematische Nachrichten}, volume = {291}, year = {2018}, pages = {2397-2426}, url = {http://dx.doi.org/10.1002/mana.201700466}, author = {Kathryn E. Hare and Kevin G. Hare and Sascha Troscheit} } @article {682, title = {A lower bound for the dimension of Bernoulli convolutions}, journal = {Exp. Math.}, volume = {27}, year = {2018}, pages = {414-418}, url = {https://doi.org/10.1080/10586458.2017.1301841}, author = {Kevin G. Hare and Nikita Sidorov} } @article {7263, title = {Open maps: small and large holes with unusual properties}, journal = {Discrete and Continuous Dynamical Systems}, volume = {38}, year = {2018}, pages = {5883--5895}, url = {http://aimsciences.org/article/doi/10.3934/dcds.2018255}, author = {Kevin G. Hare and Nikita Sidorov} } @article {684, title = {On the spectra of Pisot-cyclotomic numbers}, journal = {Letters in Mathematical Physics}, volume = {108}, year = {2018}, pages = {1729-1756}, url = {https://doi.org/10.1007/s11005-018-1053-4}, author = {Kevin G. Hare and Zuzana Mas{\'a}kov{\'a} and Tom{\'a}{\v s} V{\'a}vra} } @article {HareSidorov15, title = {On a family of self-affine sets: topology, uniqueness, simultaneous expansions}, journal = {Ergodic Theory Dynam. Systems}, volume = {37}, year = {2017}, note = {

44 pages

}, pages = {193-227}, url = {http://dx.doi.org/10.1017/etds.2015.41}, author = {Kevin G. Hare and Nikita Sidorov} } @article {683, title = {Generalized continued logarithms and related continued fractions}, journal = {J. Integer Seq.}, volume = {20}, year = {2017}, pages = {51}, url = {https://cs.uwaterloo.ca/journals/JIS/VOL20/Hare/hare5.html}, author = {Jonathan M. Borwein and Kevin G. Hare and Jason G. Lynch} } @article {DubickasJankauskasHare15, title = {There are no two non-real conjugates of a Pisot number with the same imaginary part}, journal = {Math. Comp.}, volume = {86}, year = {2017}, note = {

20 pages

}, pages = {935-950}, url = {https://doi.org/10.1090/mcom/3103 }, author = {Arturas Dubickas and Jonas Jankauskas and Kevin G. Hare} } @article {BellCoonsHare15, title = {Growth degree classification for finitely generated semigroups of integer matrices}, journal = {Semigroup Forum}, volume = {92}, year = {2016}, note = {18 pages}, pages = {23-44}, url = {http://link.springer.com/article/10.1007/s00233-015-9725-1}, author = {Jason P. Bell and Michael Coons and Kevin G. Hare} } @article {HareHareMatthews, title = {Local dimensions of measures of finite type}, journal = {J. Fractal Geom.}, volume = {3}, year = {2016}, note = {

(arXiv:1504.00510), 40 pages

}, pages = {331-376}, url = {https://ems.press/content/serial-article-files/37269}, author = {Kathryn E. Hare and Kevin G. Hare and Kevin R. Matthews} } @article {HareMcKay, title = {Some properties of even moments of uniform random walks}, journal = {INTEGERS: The Electronic Journal of Combinatorial Number Theory}, year = {2016}, note = {14 pages}, url = {http://www.integers-ejcnt.org/vol16.html}, author = {Kevin G. Hare and Ghislain McKay} } @article {HareSidorov15b, title = {Two-dimensional self-affine sets with interior points, and the set of uniqueness}, journal = {Nonlinearity}, volume = {29}, year = {2016}, note = {(arXiv:1502.07330), 29 pages}, pages = {1{\textendash}26}, url = {http://dx.doi.org/10.1088/0951-7715/29/1/1}, author = {Kevin G. Hare and Nikita Sidorov} } @article {MR3359217, title = {Base-d expansions with digits 0 to q-1}, journal = {Exp. Math.}, volume = {24}, year = {2015}, pages = {295{\textendash}303}, issn = {1058-6458}, doi = {10.1080/10586458.2014.990119}, url = {http://dx.doi.org/10.1080/10586458.2014.990119}, author = {Kevin G. Hare} } @article {HareSidorov15c, title = {Multidimensional self-affine sets: non-empty interior and the set of uniquenes}, journal = {Studia Math.}, volume = {229}, year = {2015}, note = {

(arXiv:1506.08714), 10 pages

}, pages = {223-232}, issn = {0039-3223}, url = {https://eudml.org/doc/285506}, author = {Kevin G. Hare and Nikita Sidorov} } @article {MR3270212, title = {On cycles for the doubling map which are disjoint from an interval}, journal = {Monatsh. Math.}, volume = {175}, year = {2014}, pages = {347{\textendash}365}, issn = {0026-9255}, doi = {10.1007/s00605-014-0646-y}, url = {http://dx.doi.org/10.1007/s00605-014-0646-y}, author = {Kevin G. Hare and Nikita Sidorov} } @article {MR3252000, title = {The minimal growth of a k-regular sequence}, journal = {Bull. Aust. Math. Soc.}, volume = {90}, year = {2014}, pages = {195{\textendash}203}, issn = {0004-9727}, doi = {10.1017/S0004972714000197}, url = {http://dx.doi.org/10.1017/S0004972714000197}, author = {Jason P. Bell and Michael Coons and Kevin G. Hare} } @article {MR3133987, title = {A multi-dimensional analogue of Cobham{\textquoteright}s theorem for fractals}, journal = {Proc. Amer. Math. Soc.}, volume = {142}, year = {2014}, pages = {449{\textendash}456}, issn = {0002-9939}, doi = {10.1090/S0002-9939-2013-11843-5}, url = {http://dx.doi.org/10.1090/S0002-9939-2013-11843-5}, author = {Chan, Davy Ho-Yuen and Hare, Kevin G.} } @article {MR3216012, title = {Negative Pisot and Salem numbers as roots of Newman polynomials}, journal = {Rocky Mountain J. Math.}, volume = {44}, year = {2014}, pages = {113{\textendash}138}, issn = {0035-7596}, doi = {10.1216/RMJ-2014-44-1-113}, url = {http://dx.doi.org/10.1216/RMJ-2014-44-1-113}, author = {Hare, Kevin G. and Mossinghoff, Michael J.} } @article {MR3276053, title = {Three series for the generalized golden mean}, journal = {Fibonacci Quart.}, volume = {52}, year = {2014}, pages = {307{\textendash}313}, issn = {0015-0517}, url = {https://www.fq.math.ca/Abstracts/52-4/hare.pdf}, author = {Kevin G. Hare and Helmut Prodinger and Jeffrey Shallit} } @article {MR3091514, title = {Extremal sequences of polynomial complexity}, journal = {Math. Proc. Cambridge Philos. Soc.}, volume = {155}, year = {2013}, pages = {191{\textendash}205}, issn = {0305-0041}, doi = {10.1017/S0305004113000157}, url = {http://dx.doi.org/10.1017/S0305004113000157}, author = {Kevin G. Hare and Ian D. Morris and Nikita Sidorov} } @article {MR3008855, title = {Some comments on Garsia numbers}, journal = {Math. Comp.}, volume = {82}, year = {2013}, pages = {1197{\textendash}1221}, issn = {0025-5718}, doi = {10.1090/S0025-5718-2012-02636-6}, url = {http://dx.doi.org/10.1090/S0025-5718-2012-02636-6}, author = {Hare, Kevin G. and Panju, Maysum} } @article {MR3038529, title = {Sporadic Reinhardt polygons}, journal = {Discrete Comput. Geom.}, volume = {49}, year = {2013}, pages = {540{\textendash}557}, issn = {0179-5376}, doi = {10.1007/s00454-012-9479-4}, url = {http://dx.doi.org/10.1007/s00454-012-9479-4}, author = {Hare, Kevin G. and Mossinghoff, Michael J.} } @article {MR2953199, title = {Corrigendum to \‘\‘On Z-modules of algebraic integers\’\’ [\refcno 2504015]}, journal = {Canad. J. Math.}, volume = {64}, year = {2012}, pages = {254{\textendash}256}, issn = {0008-414X}, doi = {10.4153/CJM-2011-072-5}, url = {http://dx.doi.org/10.4153/CJM-2011-072-5}, author = {Jason P. Bell and Kevin G. Hare} } @article {MR2775881, title = {An explicit counterexample to the Lagarias-Wang finiteness conjecture}, journal = {Adv. Math.}, volume = {226}, year = {2011}, pages = {4667{\textendash}4701}, issn = {0001-8708}, doi = {10.1016/j.aim.2010.12.012}, url = {http://dx.doi.org/10.1016/j.aim.2010.12.012}, author = {Kevin G. Hare and Ian D. Morris and Nikita Sidorov and Jacques Theys} } @article {MR2821390, title = {Generalized Gorshkov-Wirsing polynomials and the integer Chebyshev problem}, journal = {Exp. Math.}, volume = {20}, year = {2011}, pages = {189{\textendash}200}, issn = {1058-6458}, doi = {10.1080/10586458.2011.564545}, url = {http://dx.doi.org/10.1080/10586458.2011.564545}, author = {Hare, Kevin G.} } @article {MR2729069, title = {Stolarsky{\textquoteright}s conjecture and the sum of digits of polynomial values}, journal = {Proc. Amer. Math. Soc.}, volume = {139}, year = {2011}, pages = {39{\textendash}49}, issn = {0002-9939}, doi = {10.1090/S0002-9939-2010-10591-9}, url = {http://dx.doi.org/10.1090/S0002-9939-2010-10591-9}, author = {Hare, Kevin G. and Laishram, Shanta and Stoll, Thomas} } @article {MR2854212, title = {The sum of digits of n and n2}, journal = {Int. J. Number Theory}, volume = {7}, year = {2011}, pages = {1737{\textendash}1752}, issn = {1793-0421}, doi = {10.1142/S1793042111004319}, url = {http://dx.doi.org/10.1142/S1793042111004319}, author = {Hare, Kevin G. and Laishram, Shanta and Stoll, Thomas} } @article {MR2660887, title = {Fekete-like polynomials}, journal = {J. Number Theory}, volume = {130}, year = {2010}, pages = {2198{\textendash}2213}, issn = {0022-314X}, doi = {10.1016/j.jnt.2010.03.019}, url = {http://dx.doi.org/10.1016/j.jnt.2010.03.019}, author = {Hare, Kevin G. and Yazdani, Soroosh} } @article {MR2638985, title = {A lower bound for Garsia\’s entropy for certain Bernoulli convolutions}, journal = {LMS J. Comput. Math.}, volume = {13}, year = {2010}, pages = {130{\textendash}143}, issn = {1461-1570}, doi = {10.1112/S1461157008000430}, url = {http://dx.doi.org/10.1112/S1461157008000430}, author = {Kevin G. Hare and Nikita Sidorov} } @article {MR2666388, title = {More variations on the Sierpinski sieve}, journal = {Canad. J. Math.}, volume = {62}, year = {2010}, pages = {543{\textendash}562}, issn = {0008-414X}, doi = {10.4153/CJM-2010-036-3}, url = {http://dx.doi.org/10.4153/CJM-2010-036-3}, author = {Hare, Kevin G.} } @article {MR2554816, title = {Groebner basis, resultants and the generalized Mandelbrot set}, journal = {Chaos Solitons Fractals}, volume = {42}, year = {2009}, pages = {1016{\textendash}1023}, issn = {0960-0779}, doi = {10.1016/j.chaos.2009.02.039}, url = {http://dx.doi.org/10.1016/j.chaos.2009.02.039}, author = {Geum, Young Hee and Hare, Kevin G.} } @article {MR2560847, title = {Infinite Barker series}, journal = {J. Number Theory}, volume = {129}, year = {2009}, pages = {2991{\textendash}2999}, issn = {0022-314X}, doi = {10.1016/j.jnt.2009.05.011}, url = {http://dx.doi.org/10.1016/j.jnt.2009.05.011}, author = {Hare, Kevin G.} } @article {MR2537713, title = {Patterns and periodicity in a family of resultants}, journal = {J. Th{\'e}or. Nombres Bordeaux}, volume = {21}, year = {2009}, pages = {215{\textendash}234}, issn = {1246-7405}, url = {http://jtnb.cedram.org/item?id=JTNB_2009__21_1_215_0}, author = {Hare, Kevin G. and McKinnon, David and Sinclair, Christopher D.} } @article {MR2448713, title = {Tiles in quasicrystals with quartic irrationality}, journal = {Math. Comp.}, volume = {78}, year = {2009}, pages = {405{\textendash}420}, issn = {0025-5718}, doi = {10.1090/S0025-5718-08-02137-6}, url = {http://dx.doi.org/10.1090/S0025-5718-08-02137-6}, author = {Hare, Kevin G.} } @article {MR2504015, title = {On Z-modules of algebraic integers}, journal = {Canad. J. Math.}, volume = {61}, year = {2009}, pages = {264{\textendash}281}, issn = {0008-414X}, doi = {10.4153/CJM-2009-013-9}, url = {http://dx.doi.org/10.4153/CJM-2009-013-9}, author = {Jason P. Bell and Kevin G. Hare} } @article {MR2444222, title = {Beta-expansions for infinite families of Pisot and Salem numbers}, journal = {J. Number Theory}, volume = {128}, year = {2008}, pages = {2756{\textendash}2765}, issn = {0022-314X}, doi = {10.1016/j.jnt.2008.02.010}, url = {http://dx.doi.org/10.1016/j.jnt.2008.02.010}, author = {Hare, Kevin G. and Tweedle, David} } @article {MR2398800, title = {Corrigendum to: \‘\‘The monic integer transfinite diameter\’\’ [Math. Comp. 75 (2006), no. 256, 1997\–2019; MR2240646]}, journal = {Math. Comp.}, volume = {77}, year = {2008}, pages = {1869}, issn = {0025-5718}, doi = {10.1090/S0025-5718-07-02077-7}, url = {http://dx.doi.org/10.1090/S0025-5718-07-02077-7}, author = {Kevin G. Hare and Chris J. Smyth} } @inbook {MR2427721, title = {Beta-expansions of Pisot and Salem numbers}, booktitle = {Computer algebra 2006}, year = {2007}, pages = {67{\textendash}84}, publisher = {World Sci. Publ., Hackensack, NJ}, organization = {World Sci. Publ., Hackensack, NJ}, doi = {10.1142/9789812778857_0005}, url = {http://dx.doi.org/10.1142/9789812778857_0005}, author = {Hare, Kevin G.} } @article {MR2336293, title = {New techniques for bounds on the total number of prime factors of an odd perfect number}, journal = {Math. Comp.}, volume = {76}, year = {2007}, pages = {2241{\textendash}2248 (electronic)}, issn = {0025-5718}, doi = {10.1090/S0025-5718-07-02033-9}, url = {http://dx.doi.org/10.1090/S0025-5718-07-02033-9}, author = {Hare, Kevin G.} } @article {MR2299792, title = {On univoque Pisot numbers}, journal = {Math. Comp.}, volume = {76}, year = {2007}, pages = {1639{\textendash}1660 (electronic)}, issn = {0025-5718}, doi = {10.1090/S0025-5718-07-01961-8}, url = {http://dx.doi.org/10.1090/S0025-5718-07-01961-8}, author = {Allouche, Jean-Paul and Frougny, Christiane and Hare, Kevin G.} } @article {MR2274902, title = {Comments on the spectra of Pisot numbers}, journal = {J. Number Theory}, volume = {121}, year = {2006}, pages = {187{\textendash}203}, issn = {0022-314X}, doi = {10.1016/j.jnt.2006.02.003}, url = {http://dx.doi.org/10.1016/j.jnt.2006.02.003}, author = {Garth, David and Hare, Kevin G.} } @article {MR2240646, title = {The monic integer transfinite diameter}, journal = {Math. Comp.}, volume = {75}, year = {2006}, pages = {1997{\textendash}2019 (electronic)}, issn = {0025-5718}, doi = {10.1090/S0025-5718-06-01843-6}, url = {http://dx.doi.org/10.1090/S0025-5718-06-01843-6}, author = {Kevin G. Hare and Chris J. Smyth} } @article {MR2180499, title = {A classification of (some) Pisot-cyclotomic numbers}, journal = {J. Number Theory}, volume = {115}, year = {2005}, pages = {215{\textendash}229}, issn = {0022-314X}, doi = {10.1016/j.jnt.2004.11.009}, url = {http://dx.doi.org/10.1016/j.jnt.2004.11.009}, author = {Jason P. Bell and Kevin G. Hare} } @article {MR2114661, title = {More on the total number of prime factors of an odd perfect number}, journal = {Math. Comp.}, volume = {74}, year = {2005}, note = {

Data available upon request.

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