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1

Montémont, Véronique. "Roubaud’s number on numbers". Journal of Romance Studies 7, n. 3 (dicembre 2007): 111–21. http://dx.doi.org/10.3828/jrs.7.3.111.

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2

Carbó-Dorca, Ramon. "Mersenne Numbers, Recursive Generation of Natural Numbers, and Counting the Number of Prime Numbers". Applied Mathematics 13, n. 06 (2022): 538–43. http://dx.doi.org/10.4236/am.2022.136034.

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3

Sudhakaraiah, A., A. Madhankumar, Pagidi Obulesu e A. Lakshmi Sowjanya. "73 Is the Only Largest Prime Power Number and Composite Power Numbers". International Journal of Science and Research (IJSR) 12, n. 11 (5 novembre 2023): 1318–23. http://dx.doi.org/10.21275/sr231118184617.

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4

Steele, G. Ander. "Carmichael numbers in number rings". Journal of Number Theory 128, n. 4 (aprile 2008): 910–17. http://dx.doi.org/10.1016/j.jnt.2007.08.009.

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5

Hofweber, T. "Number Determiners, Numbers, and Arithmetic". Philosophical Review 114, n. 2 (1 aprile 2005): 179–225. http://dx.doi.org/10.1215/00318108-114-2-179.

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6

., Jyoti. "Rational Numbers". Journal of Advances and Scholarly Researches in Allied Education 15, n. 5 (1 luglio 2018): 220–22. http://dx.doi.org/10.29070/15/57856.

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7

Boast, Carl A., e Paul R. Sanberg. "Locomotor behavior: numbers, numbers, numbers!" Pharmacology Biochemistry and Behavior 27, n. 3 (luglio 1987): 543. http://dx.doi.org/10.1016/0091-3057(87)90364-9.

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8

KÖKEN, Fikri, e Emre KANKAL. "Altered Numbers of Fibonacci Number Squared". Journal of New Theory, n. 45 (31 dicembre 2023): 73–82. http://dx.doi.org/10.53570/jnt.1368751.

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We investigate two types of altered Fibonacci numbers obtained by adding or subtracting a specific value $\{a\}$ from the square of the $n^{th}$ Fibonacci numbers $G^{(2)}_{F(n)}(a)$ and $H^{(2)}_{F(n)}(a)$. These numbers are significant as they are related to the consecutive products of the Fibonacci numbers. As a result, we establish consecutive sum-subtraction relations of altered Fibonacci numbers and their Binet-like formulas. Moreover, we explore greatest common divisor (GCD) sequences of r-successive terms of altered Fibonacci numbers represented by $\left\{G^{(2)}_{F(n), r}(a)\right\}$ and $\left\{H^{(2)}_{F(n), r}(a)\right\}$ such that $r\in\{1,2,3\}$ and $a\in\{1,4\}$. The sequences are based on the GCD properties of consecutive terms of the Fibonacci numbers and structured as periodic or Fibonacci sequences.
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9

Jędrzejak, Tomasz. "Congruent numbers over real number fields". Colloquium Mathematicum 128, n. 2 (2012): 179–86. http://dx.doi.org/10.4064/cm128-2-3.

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10

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

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11

Day, Sophie, Celia Lury e Nina Wakeford. "Number ecologies: numbers and numbering practices". Distinktion: Journal of Social Theory 15, n. 2 (4 maggio 2014): 123–54. http://dx.doi.org/10.1080/1600910x.2014.923011.

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12

AKTAŞ, KEVSER, e M. RAM MURTY. "On the number of special numbers". Proceedings - Mathematical Sciences 127, n. 3 (31 gennaio 2017): 423–30. http://dx.doi.org/10.1007/s12044-016-0326-z.

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13

Felka, Katharina. "Number words and reference to numbers". Philosophical Studies 168, n. 1 (3 aprile 2013): 261–82. http://dx.doi.org/10.1007/s11098-013-0129-3.

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14

De Koninck, Jean-Marie, e Florian Luca. "Counting the number of economical numbers". Publicationes Mathematicae Debrecen 68, n. 1-2 (1 gennaio 2006): 97–113. http://dx.doi.org/10.5486/pmd.2006.3171.

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15

Fellows, Michael R., Serge Gaspers e Frances A. Rosamond. "Parameterizing by the Number of Numbers". Theory of Computing Systems 50, n. 4 (29 ottobre 2011): 675–93. http://dx.doi.org/10.1007/s00224-011-9367-y.

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16

Goddard, Cliff. "The conceptual semantics of numbers and counting". Functions of Language 16, n. 2 (22 ottobre 2009): 193–224. http://dx.doi.org/10.1075/fol.16.2.02god.

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Abstract (sommario):
This study explores the conceptual semantics of numbers and counting, using the natural semantic metalanguage (NSM) technique of semantic analysis (Wierzbicka 1996; Goddard & Wierzbicka (eds.) 2002). It first argues that the concept of a number in one of its senses (number1, roughly, “number word”) and the meanings of low number words, such as one, two, and three, can be explicated directly in terms of semantic primes, without reference to any counting procedures or practices. It then argues, however, that the larger numbers, and the productivity of the number sequence, depend on the concept and practice of counting, in the intransitive sense of the verb. Both the intransitive and transitive senses of counting are explicated, and the semantic relationship between them is clarified. Finally, the study moves to the semantics of abstract numbers (number2), roughly, numbers as represented by numerals, e.g. 5, 15, 27, 36, as opposed to number words. Though some reference is made to cross-linguistic data and cultural variation, the treatment is focused primarily on English.
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17

Froman, Robin D. "Numbers, numbers everywhere?" Research in Nursing & Health 27, n. 3 (2004): 145–47. http://dx.doi.org/10.1002/nur.20020.

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18

Thompson, K., J. G. Hodgson, J. P. Grime, I. H. Rorison, S. R. Band e R. E. Spencer. "Ellenberg numbers revisited". Phytocoenologia 23, n. 1-4 (15 dicembre 1993): 277–89. http://dx.doi.org/10.1127/phyto/23/1993/277.

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19

Bhutani, Kiran R., e Alexander B. Levin. "Graceful numbers". International Journal of Mathematics and Mathematical Sciences 29, n. 8 (2002): 495–99. http://dx.doi.org/10.1155/s0161171202007615.

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We construct a labeled graphD(n)that reflects the structure of divisors of a given natural numbern. We define the concept of graceful numbers in terms of this associated graph and find the general form of such a number. As a consequence, we determine which graceful numbers are perfect.
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20

Adédji, Kouèssi Norbert, Japhet Odjoumani e Alain Togbé. "Padovan and Perrin numbers as products of two generalized Lucas numbers". Archivum Mathematicum, n. 4 (2023): 315–37. http://dx.doi.org/10.5817/am2023-4-315.

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21

Ndiaye, Mady. "Origin of Sexy Prime Numbers, Origin of Cousin Prime Numbers, Equations from Supposedly Prime Numbers, Origin of the Mersenne Number, Origin of the Fermat Number". Advances in Pure Mathematics 14, n. 05 (2024): 321–32. http://dx.doi.org/10.4236/apm.2024.145018.

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22

Kazda, Alexandr, e Petr Kùrka. "Representing real numbers in Möbius number systems". Actes des rencontres du CIRM 1, n. 1 (2009): 35–39. http://dx.doi.org/10.5802/acirm.7.

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23

Smil, Vaclav. "Unemployment: Pick a number [Numbers Don't Lie]". IEEE Spectrum 54, n. 5 (maggio 2017): 24. http://dx.doi.org/10.1109/mspec.2017.7906894.

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24

Frougny, Christiane, e Karel Klouda. "Rational base number systems forp-adic numbers". RAIRO - Theoretical Informatics and Applications 46, n. 1 (22 agosto 2011): 87–106. http://dx.doi.org/10.1051/ita/2011114.

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25

Webb, William A. "The N-Number Game for Real Numbers". European Journal of Combinatorics 8, n. 4 (ottobre 1987): 457–60. http://dx.doi.org/10.1016/s0195-6698(87)80053-7.

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26

Daileda, Ryan C., Raju Krishnamoorthy e Anton Malyshev. "Maximal class numbers of CM number fields". Journal of Number Theory 130, n. 4 (aprile 2010): 936–43. http://dx.doi.org/10.1016/j.jnt.2009.09.013.

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27

Kovács, B. "Representation of complex numbers in number systems". Acta Mathematica Hungarica 58, n. 1-2 (marzo 1991): 113–20. http://dx.doi.org/10.1007/bf01903553.

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28

Jen-Shiun Chiang e Mi Lu. "Floating-point numbers in residue number systems". Computers & Mathematics with Applications 22, n. 10 (1991): 127–40. http://dx.doi.org/10.1016/0898-1221(91)90200-n.

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29

Chang, Ku-Young, e Soun-Hi Kwon. "Class numbers of imaginary abelian number fields". Proceedings of the American Mathematical Society 128, n. 9 (27 aprile 2000): 2517–28. http://dx.doi.org/10.1090/s0002-9939-00-05555-6.

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30

Figotin, A., A. Gordon, J. Quinn, N. Stavrakas e S. Molchanov. "Occupancy Numbers in Testing Random Number Generators". SIAM Journal on Applied Mathematics 62, n. 6 (gennaio 2002): 1980–2011. http://dx.doi.org/10.1137/s0036139900366869.

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31

Bertin, Marie José, e Toufik Zaïmi. "Complex Pisot numbers in algebraic number fields". Comptes Rendus Mathematique 353, n. 11 (novembre 2015): 965–67. http://dx.doi.org/10.1016/j.crma.2015.09.007.

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32

De Koninck, J. M., N. Doyon e I. Kátai. "Counting the number of twin Niven numbers". Ramanujan Journal 17, n. 1 (12 luglio 2008): 89–105. http://dx.doi.org/10.1007/s11139-008-9127-z.

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33

Caglayan, Günhan. "Covering a Triangular Number with Pentagonal Numbers". Mathematical Intelligencer 42, n. 1 (16 dicembre 2019): 55. http://dx.doi.org/10.1007/s00283-019-09953-0.

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34

Chang, Ku-Young, e 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, n. 2 (2000): 349–65. http://dx.doi.org/10.5802/jtnb.283.

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35

DeGeorges, Kathie M. "Numbers, I Need Numbers!" AWHONN Lifelines 3, n. 2 (aprile 1999): 49–50. http://dx.doi.org/10.1111/j.1552-6356.1999.tb01082.x.

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36

Lee, Mercia. "Numbers, numbers all around". Practical Pre-School 2007, n. 75 (aprile 2007): 5–6. http://dx.doi.org/10.12968/prps.2007.1.75.38593.

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37

Locher, Helmut. "On the number of good approximations of algebraic numbers by algebraic numbers of bounded degree". Acta Arithmetica 89, n. 2 (1999): 97–122. http://dx.doi.org/10.4064/aa-89-2-97-122.

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38

Azarija, Jernej, e Riste Škrekovski. "Euler's idoneal numbers and an inequality concerning minimal graphs with a prescribed number of spanning trees". Mathematica Bohemica 138, n. 2 (2013): 121–31. http://dx.doi.org/10.21136/mb.2013.143285.

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39

Pokorna, Pavla, e Dick Tibboel. "Numbers, Numbers: Great, Great…But?!*". Pediatric Critical Care Medicine 21, n. 9 (settembre 2020): 844–45. http://dx.doi.org/10.1097/pcc.0000000000002371.

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40

Hernon, Peter. "Numbers and “Damn” GPO Numbers". Government Information Quarterly 16, n. 1 (gennaio 1999): 1–4. http://dx.doi.org/10.1016/s0740-624x(99)80012-4.

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41

Kulyabov, D. S., A. V. Korolkova e M. N. Gevorkyan. "Hyperbolic numbers as Einstein numbers". Journal of Physics: Conference Series 1557 (maggio 2020): 012027. http://dx.doi.org/10.1088/1742-6596/1557/1/012027.

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42

Çelik, Songül, İnan Durukan e Engin Özkan. "New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers". Chaos, Solitons & Fractals 150 (settembre 2021): 111173. http://dx.doi.org/10.1016/j.chaos.2021.111173.

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43

Trespalacios, Jesús, e Barbara Chamberline. "Pearl diver: Identifying numbers on a number line". Teaching Children Mathematics 18, n. 7 (marzo 2012): 446–47. http://dx.doi.org/10.5951/teacchilmath.18.7.0446.

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44

Geroldinger, A. "Factorization of natural numbers in algebraic number fields". Acta Arithmetica 57, n. 4 (1991): 365–73. http://dx.doi.org/10.4064/aa-57-4-365-373.

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45

Liu, Hong-Quan. "The number of squarefull numbers in an interval". Acta Arithmetica 64, n. 2 (1993): 129–49. http://dx.doi.org/10.4064/aa-64-2-129-149.

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46

Chen, Kwang-Wu. "Median Bernoulli Numbers and Ramanujan’s Harmonic Number Expansion". Mathematics 10, n. 12 (12 giugno 2022): 2033. http://dx.doi.org/10.3390/math10122033.

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Abstract (sommario):
Ramanujan-type harmonic number expansion was given by many authors. Some of the most well-known are: Hn∼γ+logn−∑k=1∞Bkk·nk, where Bk is the Bernoulli numbers. In this paper, we rewrite Ramanujan’s harmonic number expansion into a similar form of Euler’s asymptotic expansion as n approaches infinity: Hn∼γ+c0(h)log(q+h)−∑k=1∞ck(h)k·(q+h)k, where q=n(n+1) is the nth pronic number, twice the nth triangular number, γ is the Euler–Mascheroni constant, and ck(x)=∑j=0kkjcjxk−j, with ck is the negative of the median Bernoulli numbers. Then, 2cn=∑k=0nnkBn+k, where Bn is the Bernoulli number. By using the result obtained, we present two general Ramanujan’s asymptotic expansions for the nth harmonic number. For example, Hn∼γ+12log(q+13)−1180(q+13)2∑j=0∞bj(r)(q+13)j1/r as n approaches infinity, where bj(r) can be determined.
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47

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

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48

Korhonen, Risto. "Approximation of real numbers with rational number sequences". Proceedings of the American Mathematical Society 137, n. 01 (14 agosto 2008): 107–13. http://dx.doi.org/10.1090/s0002-9939-08-09479-3.

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49

Louboutin, Stéphane. "Computation of class numbers of quadratic number fields". Mathematics of Computation 71, n. 240 (21 novembre 2001): 1735–44. http://dx.doi.org/10.1090/s0025-5718-01-01367-9.

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50

Shah Ali, H. A. "92.02 The number of S.P numbers is finite". Mathematical Gazette 92, n. 523 (marzo 2008): 64–65. http://dx.doi.org/10.1017/s0025557200182543.

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