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1

Solomko, M., and B. Krulikovskyj. "Оптимізація перенесення при додаванні двійкових чисел у теоретико-числовому базисі Радемахера." Computer systems and network 1, no. 1 (February 23, 2016): 88–101. http://dx.doi.org/10.23939/csn2016.857.088.

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2

Azarija, Jernej, and Riste Škrekovski. "Euler's idoneal numbers and an inequality concerning minimal graphs with a prescribed number of spanning trees." Mathematica Bohemica 138, no. 2 (2013): 121–31. http://dx.doi.org/10.21136/mb.2013.143285.

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3

Montémont, Véronique. "Roubaud’s number on numbers." Journal of Romance Studies 7, no. 3 (December 2007): 111–21. http://dx.doi.org/10.3828/jrs.7.3.111.

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4

Lyubomudrov, Alexey Alexeevich. "An Approach to Dividing Modules of Numbers by the Values of Bases in Number Systems in Residual Classes." Revista Gestão Inovação e Tecnologias 11, no. 4 (July 10, 2021): 1547–52. http://dx.doi.org/10.47059/revistageintec.v11i4.2207.

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5

Steele, G. Ander. "Carmichael numbers in number rings." Journal of Number Theory 128, no. 4 (April 2008): 910–17. http://dx.doi.org/10.1016/j.jnt.2007.08.009.

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6

Hofweber, T. "Number Determiners, Numbers, and Arithmetic." Philosophical Review 114, no. 2 (April 1, 2005): 179–225. http://dx.doi.org/10.1215/00318108-114-2-179.

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7

Jędrzejak, Tomasz. "Congruent numbers over real number fields." Colloquium Mathematicum 128, no. 2 (2012): 179–86. http://dx.doi.org/10.4064/cm128-2-3.

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8

Fellows, Michael R., Serge Gaspers, and Frances A. Rosamond. "Parameterizing by the Number of Numbers." Theory of Computing Systems 50, no. 4 (October 29, 2011): 675–93. http://dx.doi.org/10.1007/s00224-011-9367-y.

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9

Day, Sophie, Celia Lury, and Nina Wakeford. "Number ecologies: numbers and numbering practices." Distinktion: Journal of Social Theory 15, no. 2 (May 4, 2014): 123–54. http://dx.doi.org/10.1080/1600910x.2014.923011.

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10

Fu, Ruiqin, Hai Yang, and Jing Wu. "The Perfect Numbers of Pell Number." Journal of Physics: Conference Series 1237 (June 2019): 022041. http://dx.doi.org/10.1088/1742-6596/1237/2/022041.

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11

AKTAŞ, KEVSER, and M. RAM MURTY. "On the number of special numbers." Proceedings - Mathematical Sciences 127, no. 3 (January 31, 2017): 423–30. http://dx.doi.org/10.1007/s12044-016-0326-z.

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12

Felka, Katharina. "Number words and reference to numbers." Philosophical Studies 168, no. 1 (April 3, 2013): 261–82. http://dx.doi.org/10.1007/s11098-013-0129-3.

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13

Kazda, Alexandr, and Petr Kùrka. "Representing real numbers in Möbius number systems." Actes des rencontres du CIRM 1, no. 1 (2009): 35–39. http://dx.doi.org/10.5802/acirm.7.

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14

Daileda, Ryan C., Raju Krishnamoorthy, and Anton Malyshev. "Maximal class numbers of CM number fields." Journal of Number Theory 130, no. 4 (April 2010): 936–43. http://dx.doi.org/10.1016/j.jnt.2009.09.013.

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15

Webb, William A. "The N-Number Game for Real Numbers." European Journal of Combinatorics 8, no. 4 (October 1987): 457–60. http://dx.doi.org/10.1016/s0195-6698(87)80053-7.

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16

Chang, Ku-Young, and Soun-Hi Kwon. "Class numbers of imaginary abelian number fields." Proceedings of the American Mathematical Society 128, no. 9 (April 27, 2000): 2517–28. http://dx.doi.org/10.1090/s0002-9939-00-05555-6.

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17

Frougny, Christiane, and Karel Klouda. "Rational base number systems forp-adic numbers." RAIRO - Theoretical Informatics and Applications 46, no. 1 (August 22, 2011): 87–106. http://dx.doi.org/10.1051/ita/2011114.

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18

Figotin, A., A. Gordon, J. Quinn, N. Stavrakas, and S. Molchanov. "Occupancy Numbers in Testing Random Number Generators." SIAM Journal on Applied Mathematics 62, no. 6 (January 2002): 1980–2011. http://dx.doi.org/10.1137/s0036139900366869.

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19

De Koninck, J. M., N. Doyon, and I. Kátai. "Counting the number of twin Niven numbers." Ramanujan Journal 17, no. 1 (July 12, 2008): 89–105. http://dx.doi.org/10.1007/s11139-008-9127-z.

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20

Smil, Vaclav. "Unemployment: Pick a number [Numbers Don't Lie]." IEEE Spectrum 54, no. 5 (May 2017): 24. http://dx.doi.org/10.1109/mspec.2017.7906894.

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21

Jen-Shiun Chiang and Mi Lu. "Floating-point numbers in residue number systems." Computers & Mathematics with Applications 22, no. 10 (1991): 127–40. http://dx.doi.org/10.1016/0898-1221(91)90200-n.

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22

Caglayan, Günhan. "Covering a Triangular Number with Pentagonal Numbers." Mathematical Intelligencer 42, no. 1 (December 16, 2019): 55. http://dx.doi.org/10.1007/s00283-019-09953-0.

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23

Bertin, Marie José, and Toufik Zaïmi. "Complex Pisot numbers in algebraic number fields." Comptes Rendus Mathematique 353, no. 11 (November 2015): 965–67. http://dx.doi.org/10.1016/j.crma.2015.09.007.

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24

Kovács, B. "Representation of complex numbers in number systems." Acta Mathematica Hungarica 58, no. 1-2 (March 1991): 113–20. http://dx.doi.org/10.1007/bf01903553.

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25

Laiou, Angeliki. "Nummus parit nummos : l'usurier, le juriste et le philosophe à Byzance." Comptes-rendus des séances de l année - Académie des inscriptions et belles-lettres 143, no. 2 (1999): 583–604. http://dx.doi.org/10.3406/crai.1999.16023.

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26

Geroldinger, A. "Factorization of natural numbers in algebraic number fields." Acta Arithmetica 57, no. 4 (1991): 365–73. http://dx.doi.org/10.4064/aa-57-4-365-373.

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27

Liu, Hong-Quan. "The number of squarefull numbers in an interval." Acta Arithmetica 64, no. 2 (1993): 129–49. http://dx.doi.org/10.4064/aa-64-2-129-149.

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28

Backelin, Jörgen. "On the number of semigroups of natural numbers." MATHEMATICA SCANDINAVICA 66 (June 1, 1990): 197. http://dx.doi.org/10.7146/math.scand.a-12304.

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29

Trespalacios, Jesús, and Barbara Chamberline. "Pearl diver: Identifying numbers on a number line." Teaching Children Mathematics 18, no. 7 (March 2012): 446–47. http://dx.doi.org/10.5951/teacchilmath.18.7.0446.

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30

Ayad, Mohamed, Abdelmejid Bayad, and Omar Kihel. "Denominators of algebraic numbers in a number field." Journal of Number Theory 149 (April 2015): 1–14. http://dx.doi.org/10.1016/j.jnt.2014.06.024.

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31

Shah Ali, H. A. "92.02 The number of S.P numbers is finite." Mathematical Gazette 92, no. 523 (March 2008): 64–65. http://dx.doi.org/10.1017/s0025557200182543.

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32

Bulai, Lavinia. "Unlinking numbers of links with crossing number 10." Involve, a Journal of Mathematics 11, no. 2 (January 1, 2018): 335–53. http://dx.doi.org/10.2140/involve.2018.11.335.

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33

Kim, Kwang-Seob, and John C. Miller. "Class numbers of large degree nonabelian number fields." Mathematics of Computation 88, no. 316 (April 27, 2018): 973–81. http://dx.doi.org/10.1090/mcom/3335.

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34

Louboutin, Stéphane. "Computation of class numbers of quadratic number fields." Mathematics of Computation 71, no. 240 (November 21, 2001): 1735–44. http://dx.doi.org/10.1090/s0025-5718-01-01367-9.

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35

Korhonen, Risto. "Approximation of real numbers with rational number sequences." Proceedings of the American Mathematical Society 137, no. 01 (August 14, 2008): 107–13. http://dx.doi.org/10.1090/s0002-9939-08-09479-3.

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36

Chen, Y. G., and J. H. Fang. "On the number of weakly prime-additive numbers." Acta Mathematica Hungarica 160, no. 2 (October 24, 2019): 444–52. http://dx.doi.org/10.1007/s10474-019-01001-9.

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37

Zhai, Wenguang. "Number of ℬ -free numbers in short intervals." Chinese Science Bulletin 45, no. 3 (February 2000): 208–12. http://dx.doi.org/10.1007/bf02884673.

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38

Key, Eric S. "Divergence rates for the number of rare numbers." Journal of Theoretical Probability 9, no. 2 (April 1996): 413–28. http://dx.doi.org/10.1007/bf02214657.

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39

Christou, Konstantinos P. "Natural number bias in operations with missing numbers." ZDM 47, no. 5 (February 5, 2015): 747–58. http://dx.doi.org/10.1007/s11858-015-0675-6.

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40

Vavasis, Stephen A., and Yinyu Ye. "Condition numbers for polyhedra with real number data." Operations Research Letters 17, no. 5 (June 1995): 209–14. http://dx.doi.org/10.1016/0167-6377(95)00019-g.

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41

Fomenko, O. M. "On the Class Numbers of Algebraic Number Fields." Journal of Mathematical Sciences 207, no. 6 (May 20, 2015): 934–39. http://dx.doi.org/10.1007/s10958-015-2416-3.

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42

Arend, Isabel, Limor Gertner, and Avishai Henik. "Perceiving numbers influences actions in number–space synesthesia." Cortex 49, no. 7 (July 2013): 1955–62. http://dx.doi.org/10.1016/j.cortex.2012.04.019.

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43

Zhou, Haiyan. "Higher Class Numbers in Extensions of Number Fields." Bulletin of the Malaysian Mathematical Sciences Society 38, no. 3 (December 10, 2014): 897–907. http://dx.doi.org/10.1007/s40840-014-0064-2.

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44

Chang, Ku-Young, and Soun-Hi Kwon. "The imaginary abelian number fields with class numbers equal to their genus class numbers." Journal de Théorie des Nombres de Bordeaux 12, no. 2 (2000): 349–65. http://dx.doi.org/10.5802/jtnb.283.

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45

Lafay, Anne, Marie-Catherine St-Pierre, and Joël Macoir. "The Mental Number Line in Dyscalculia: Impaired Number Sense or Access From Symbolic Numbers?" Journal of Learning Disabilities 50, no. 6 (March 25, 2016): 672–83. http://dx.doi.org/10.1177/0022219416640783.

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Abstract:
Numbers may be manipulated and represented mentally over a compressible number line oriented from left to right. According to numerous studies, one of the primary reasons for dyscalculia is related to improper understanding of the mental number line. Children with dyscalculia usually show difficulty when they have to place Arabic numbers on a physical number line. However, it remains unclear whether they have a deficit with the mental number line per se or a deficit with accessing it from nonsymbolic and/or symbolic numbers. Quebec French-speaking 8- to 9-year-old children with (24) and without (37) dyscalculia were assessed with transcoding tasks ( number-to-position and position-to-number) designed to assess the acuity of the mental number line with Arabic and spoken numbers as well as with analogic numerosities. Results showed that children with dyscalculia produced a larger percentage absolute error than children without mathematics difficulties in every task except the number-to-position transcoding task with analogic numerosities. Hence, these results suggested that children with dyscalculia do not have a general deficit of the mental number line but rather a deficit with accessing it from symbolic numbers.
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46

Liu, Hong-Quan. "The number of cube-full numbers in an interval." Acta Arithmetica 67, no. 1 (1994): 1–12. http://dx.doi.org/10.4064/aa-67-1-1-12.

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47

Daileda, Ryan C. "Non-abelian number fields with very large class numbers." Acta Arithmetica 125, no. 3 (2006): 215–55. http://dx.doi.org/10.4064/aa125-3-2.

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48

Janfada, Ali S., and Sajad Salami. "On θ-congruent numbers on real quadratic number fields." Kodai Mathematical Journal 38, no. 2 (June 2015): 352–64. http://dx.doi.org/10.2996/kmj/1436403896.

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49

Nakagawa, Jin. "Class numbers of quadratic extensions of algebraic number fields." Tohoku Mathematical Journal 38, no. 2 (1986): 245–57. http://dx.doi.org/10.2748/tmj/1178228491.

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50

Faye, Bernadette, and Florian Luca. "Pell numbers whose Euler function is a Pell number." Publications de l'Institut Math?matique (Belgrade) 101, no. 115 (2017): 231–45. http://dx.doi.org/10.2298/pim1715231f.

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