Unit fraction (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Unit fraction" in English language version.

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18doi.org

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9jstor.org

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9semanticscholar.org

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8ams.org

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4arxiv.org

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3web.archive.org

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2books.google.com

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1proquest.com

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1anu.edu.au

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1gla.ac.uk

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1mq.edu.au

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1math.ca

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1harvard.edu

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1uni-siegen.de

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ams.org

mathscinet.ams.org

Croot, Ernest S. III (2003), "On a coloring conjecture about unit fractions", Annals of Mathematics, 157 (2): 545–556, arXiv:math.NT/0311421, doi:10.4007/annals.2003.157.545, MR 1973054, S2CID 13514070
Elsholtz, Christian; Tao, Terence (2013), "Counting the number of solutions to the Erdős–Straus equation on unit fractions" (PDF), Journal of the Australian Mathematical Society, 94 (1): 50–105, arXiv:1107.1010, doi:10.1017/S1446788712000468, MR 3101397, S2CID 17233943
Magnus, Wilhelm (1974), Noneuclidean Tesselations and their Groups, Pure and Applied Mathematics, vol. 61, Academic Press, p. 65, ISBN 978-0-08-087377-0, MR 0352287
Boas, R. P. Jr.; Wrench, J. W. Jr. (1971), "Partial sums of the harmonic series", The American Mathematical Monthly, 78 (8): 864–870, doi:10.1080/00029890.1971.11992881, JSTOR 2316476, MR 0289994
Freniche, Francisco J. (2010), "On Riemann's rearrangement theorem for the alternating harmonic series" (PDF), The American Mathematical Monthly, 117 (5): 442–448, doi:10.4169/000298910X485969, JSTOR 10.4169/000298910x485969, MR 2663251, S2CID 20575373
Choi, Man Duen (1983), "Tricks or treats with the Hilbert matrix", The American Mathematical Monthly, 90 (5): 301–312, doi:10.2307/2975779, JSTOR 2975779, MR 0701570
Ford, L. R. (1938), "Fractions", The American Mathematical Monthly, 45 (9): 586–601, doi:10.1080/00029890.1938.11990863, JSTOR 2302799, MR 1524411
Bar-Noy, Amotz; Ladner, Richard E.; Tamir, Tami (2007), "Windows scheduling as a restricted version of bin packing", ACM Transactions on Algorithms, 3 (3): A28:1–A28:22, doi:10.1145/1273340.1273344, MR 2344019, S2CID 2461059

anu.edu.au

maths-people.anu.edu.au

Brent, Richard P.; Zimmermann, Paul (2010), "2.5 Modular division and inversion", Modern Computer Arithmetic (PDF), Cambridge Monographs on Applied and Computational Mathematics, vol. 18, Cambridge University Press, pp. 65–68, arXiv:1004.4710, doi:10.1017/cbo9780511921698.001, ISBN 978-1-139-49228-7, S2CID 441260

arxiv.org

Brent, Richard P.; Zimmermann, Paul (2010), "2.5 Modular division and inversion", Modern Computer Arithmetic (PDF), Cambridge Monographs on Applied and Computational Mathematics, vol. 18, Cambridge University Press, pp. 65–68, arXiv:1004.4710, doi:10.1017/cbo9780511921698.001, ISBN 978-1-139-49228-7, S2CID 441260
Croot, Ernest S. III (2003), "On a coloring conjecture about unit fractions", Annals of Mathematics, 157 (2): 545–556, arXiv:math.NT/0311421, doi:10.4007/annals.2003.157.545, MR 1973054, S2CID 13514070
Elsholtz, Christian; Tao, Terence (2013), "Counting the number of solutions to the Erdős–Straus equation on unit fractions" (PDF), Journal of the Australian Mathematical Society, 94 (1): 50–105, arXiv:1107.1010, doi:10.1017/S1446788712000468, MR 3101397, S2CID 17233943
Richardson, Thomas M. (2001), "The Filbert matrix" (PDF), Fibonacci Quarterly, 39 (3): 268–275, arXiv:math.RA/9905079, Bibcode:1999math......5079R

books.google.com

Solomon, Pearl Gold (2007), The Math We Need to Know and Do in Grades 6 9: Concepts, Skills, Standards, and Assessments, Corwin Press, p. 157, ISBN 978-1-4129-1726-1
Magnus, Wilhelm (1974), Noneuclidean Tesselations and their Groups, Pure and Applied Mathematics, vol. 61, Academic Press, p. 65, ISBN 978-0-08-087377-0, MR 0352287

doi.org

Cavey, Laurie O.; Kinzel, Margaret T. (February 2014), "From whole numbers to invert and multiply", Teaching Children Mathematics, 20 (6): 374–383, doi:10.5951/teacchilmath.20.6.0374, JSTOR 10.5951/teacchilmath.20.6.0374
Brent, Richard P.; Zimmermann, Paul (2010), "2.5 Modular division and inversion", Modern Computer Arithmetic (PDF), Cambridge Monographs on Applied and Computational Mathematics, vol. 18, Cambridge University Press, pp. 65–68, arXiv:1004.4710, doi:10.1017/cbo9780511921698.001, ISBN 978-1-139-49228-7, S2CID 441260
Croot, Ernest S. III (2003), "On a coloring conjecture about unit fractions", Annals of Mathematics, 157 (2): 545–556, arXiv:math.NT/0311421, doi:10.4007/annals.2003.157.545, MR 1973054, S2CID 13514070
Elsholtz, Christian; Tao, Terence (2013), "Counting the number of solutions to the Erdős–Straus equation on unit fractions" (PDF), Journal of the Australian Mathematical Society, 94 (1): 50–105, arXiv:1107.1010, doi:10.1017/S1446788712000468, MR 3101397, S2CID 17233943
Ore, Øystein (1948), "On the averages of the divisors of a number", The American Mathematical Monthly, 55 (10): 615–619, doi:10.2307/2305616, JSTOR 2305616
Boas, R. P. Jr.; Wrench, J. W. Jr. (1971), "Partial sums of the harmonic series", The American Mathematical Monthly, 78 (8): 864–870, doi:10.1080/00029890.1971.11992881, JSTOR 2316476, MR 0289994
Freniche, Francisco J. (2010), "On Riemann's rearrangement theorem for the alternating harmonic series" (PDF), The American Mathematical Monthly, 117 (5): 442–448, doi:10.4169/000298910X485969, JSTOR 10.4169/000298910x485969, MR 2663251, S2CID 20575373
Roy, Ranjan (1990), "The discovery of the series formula for $π$ by Leibniz, Gregory and Nilakantha" (PDF), Mathematics Magazine, 63 (5): 291–306, doi:10.1080/0025570X.1990.11977541, archived from the original (PDF) on 2023-03-14, retrieved 2023-03-22
Ayoub, Raymond (1974), "Euler and the zeta function", The American Mathematical Monthly, 81 (10): 1067–86, doi:10.2307/2319041, JSTOR 2319041, archived from the original on 2019-08-14, retrieved 2023-03-22
van der Poorten, Alfred (1979), "A proof that Euler missed ... Apéry's proof of the irrationality of $\zeta (3)$ " (PDF), The Mathematical Intelligencer, 1 (4): 195–203, doi:10.1007/BF03028234, S2CID 121589323, archived from the original (PDF) on 2011-07-06
Euler, Leonhard (September 1983), "From Elements of Algebra", Old Intelligencer, The Mathematical Intelligencer, 5 (3): 75–76, doi:10.1007/bf03026580, S2CID 122191726
Choi, Man Duen (1983), "Tricks or treats with the Hilbert matrix", The American Mathematical Monthly, 90 (5): 301–312, doi:10.2307/2975779, JSTOR 2975779, MR 0701570
Ford, L. R. (1938), "Fractions", The American Mathematical Monthly, 45 (9): 586–601, doi:10.1080/00029890.1938.11990863, JSTOR 2302799, MR 1524411
Polkinghorne, Ada R. (May 1935), "Young-children and fractions", Childhood Education, 11 (8): 354–358, doi:10.1080/00094056.1935.10725374
Empson, Susan Baker; Jacobs, Victoria R.; Jessup, Naomi A.; Hewitt, Amy; Pynes, D'Anna; Krause, Gladys (April 2020), "Unit fractions as superheroes for instruction", The Mathematics Teacher, 113 (4): 278–286, doi:10.5951/mtlt.2018.0024, JSTOR 10.5951/mtlt.2018.0024, S2CID 216283105
Wilson, P. Holt; Edgington, Cynthia P.; Nguyen, Kenny H.; Pescosolido, Ryan C.; Confrey, Jere (November 2011), "Fractions: how to fair share", Mathematics Teaching in the Middle School, 17 (4): 230–236, doi:10.5951/mathteacmiddscho.17.4.0230, JSTOR 10.5951/mathteacmiddscho.17.4.0230
Bar-Noy, Amotz; Ladner, Richard E.; Tamir, Tami (2007), "Windows scheduling as a restricted version of bin packing", ACM Transactions on Algorithms, 3 (3): A28:1–A28:22, doi:10.1145/1273340.1273344, MR 2344019, S2CID 2461059
van Stee, Rob (June 2012), "SIGACT news online algorithms column 20: The power of harmony" (PDF), ACM SIGACT News, 43 (2): 127–136, doi:10.1145/2261417.2261440, S2CID 14805804

files.wordpress.com

terrytao.files.wordpress.com

Elsholtz, Christian; Tao, Terence (2013), "Counting the number of solutions to the Erdős–Straus equation on unit fractions" (PDF), Journal of the Australian Mathematical Society, 94 (1): 50–105, arXiv:1107.1010, doi:10.1017/S1446788712000468, MR 3101397, S2CID 17233943

gla.ac.uk

eprints.gla.ac.uk

Freniche, Francisco J. (2010), "On Riemann's rearrangement theorem for the alternating harmonic series" (PDF), The American Mathematical Monthly, 117 (5): 442–448, doi:10.4169/000298910X485969, JSTOR 10.4169/000298910x485969, MR 2663251, S2CID 20575373

harvard.edu

ui.adsabs.harvard.edu

Richardson, Thomas M. (2001), "The Filbert matrix" (PDF), Fibonacci Quarterly, 39 (3): 268–275, arXiv:math.RA/9905079, Bibcode:1999math......5079R

jstor.org

Cavey, Laurie O.; Kinzel, Margaret T. (February 2014), "From whole numbers to invert and multiply", Teaching Children Mathematics, 20 (6): 374–383, doi:10.5951/teacchilmath.20.6.0374, JSTOR 10.5951/teacchilmath.20.6.0374
Ore, Øystein (1948), "On the averages of the divisors of a number", The American Mathematical Monthly, 55 (10): 615–619, doi:10.2307/2305616, JSTOR 2305616
Boas, R. P. Jr.; Wrench, J. W. Jr. (1971), "Partial sums of the harmonic series", The American Mathematical Monthly, 78 (8): 864–870, doi:10.1080/00029890.1971.11992881, JSTOR 2316476, MR 0289994
Freniche, Francisco J. (2010), "On Riemann's rearrangement theorem for the alternating harmonic series" (PDF), The American Mathematical Monthly, 117 (5): 442–448, doi:10.4169/000298910X485969, JSTOR 10.4169/000298910x485969, MR 2663251, S2CID 20575373
Ayoub, Raymond (1974), "Euler and the zeta function", The American Mathematical Monthly, 81 (10): 1067–86, doi:10.2307/2319041, JSTOR 2319041, archived from the original on 2019-08-14, retrieved 2023-03-22
Choi, Man Duen (1983), "Tricks or treats with the Hilbert matrix", The American Mathematical Monthly, 90 (5): 301–312, doi:10.2307/2975779, JSTOR 2975779, MR 0701570
Ford, L. R. (1938), "Fractions", The American Mathematical Monthly, 45 (9): 586–601, doi:10.1080/00029890.1938.11990863, JSTOR 2302799, MR 1524411
Empson, Susan Baker; Jacobs, Victoria R.; Jessup, Naomi A.; Hewitt, Amy; Pynes, D'Anna; Krause, Gladys (April 2020), "Unit fractions as superheroes for instruction", The Mathematics Teacher, 113 (4): 278–286, doi:10.5951/mtlt.2018.0024, JSTOR 10.5951/mtlt.2018.0024, S2CID 216283105
Wilson, P. Holt; Edgington, Cynthia P.; Nguyen, Kenny H.; Pescosolido, Ryan C.; Confrey, Jere (November 2011), "Fractions: how to fair share", Mathematics Teaching in the Middle School, 17 (4): 230–236, doi:10.5951/mathteacmiddscho.17.4.0230, JSTOR 10.5951/mathteacmiddscho.17.4.0230

maa.org

Roy, Ranjan (1990), "The discovery of the series formula for $π$ by Leibniz, Gregory and Nilakantha" (PDF), Mathematics Magazine, 63 (5): 291–306, doi:10.1080/0025570X.1990.11977541, archived from the original (PDF) on 2023-03-14, retrieved 2023-03-22
Ayoub, Raymond (1974), "Euler and the zeta function", The American Mathematical Monthly, 81 (10): 1067–86, doi:10.2307/2319041, JSTOR 2319041, archived from the original on 2019-08-14, retrieved 2023-03-22

math.ca

fq.math.ca

Richardson, Thomas M. (2001), "The Filbert matrix" (PDF), Fibonacci Quarterly, 39 (3): 268–275, arXiv:math.RA/9905079, Bibcode:1999math......5079R

mq.edu.au

maths.mq.edu.au

van der Poorten, Alfred (1979), "A proof that Euler missed ... Apéry's proof of the irrationality of $\zeta (3)$ " (PDF), The Mathematical Intelligencer, 1 (4): 195–203, doi:10.1007/BF03028234, S2CID 121589323, archived from the original (PDF) on 2011-07-06

proquest.com

Humenberger, Hans (Fall 2014), "Egyptian fractions – representations as sums of unit fractions", Mathematics and Computer Education, 48 (3): 268–283, ProQuest 1622317875

semanticscholar.org

api.semanticscholar.org

Brent, Richard P.; Zimmermann, Paul (2010), "2.5 Modular division and inversion", Modern Computer Arithmetic (PDF), Cambridge Monographs on Applied and Computational Mathematics, vol. 18, Cambridge University Press, pp. 65–68, arXiv:1004.4710, doi:10.1017/cbo9780511921698.001, ISBN 978-1-139-49228-7, S2CID 441260
Croot, Ernest S. III (2003), "On a coloring conjecture about unit fractions", Annals of Mathematics, 157 (2): 545–556, arXiv:math.NT/0311421, doi:10.4007/annals.2003.157.545, MR 1973054, S2CID 13514070
Elsholtz, Christian; Tao, Terence (2013), "Counting the number of solutions to the Erdős–Straus equation on unit fractions" (PDF), Journal of the Australian Mathematical Society, 94 (1): 50–105, arXiv:1107.1010, doi:10.1017/S1446788712000468, MR 3101397, S2CID 17233943
Freniche, Francisco J. (2010), "On Riemann's rearrangement theorem for the alternating harmonic series" (PDF), The American Mathematical Monthly, 117 (5): 442–448, doi:10.4169/000298910X485969, JSTOR 10.4169/000298910x485969, MR 2663251, S2CID 20575373
van der Poorten, Alfred (1979), "A proof that Euler missed ... Apéry's proof of the irrationality of $\zeta (3)$ " (PDF), The Mathematical Intelligencer, 1 (4): 195–203, doi:10.1007/BF03028234, S2CID 121589323, archived from the original (PDF) on 2011-07-06
Euler, Leonhard (September 1983), "From Elements of Algebra", Old Intelligencer, The Mathematical Intelligencer, 5 (3): 75–76, doi:10.1007/bf03026580, S2CID 122191726
Empson, Susan Baker; Jacobs, Victoria R.; Jessup, Naomi A.; Hewitt, Amy; Pynes, D'Anna; Krause, Gladys (April 2020), "Unit fractions as superheroes for instruction", The Mathematics Teacher, 113 (4): 278–286, doi:10.5951/mtlt.2018.0024, JSTOR 10.5951/mtlt.2018.0024, S2CID 216283105
Bar-Noy, Amotz; Ladner, Richard E.; Tamir, Tami (2007), "Windows scheduling as a restricted version of bin packing", ACM Transactions on Algorithms, 3 (3): A28:1–A28:22, doi:10.1145/1273340.1273344, MR 2344019, S2CID 2461059
van Stee, Rob (June 2012), "SIGACT news online algorithms column 20: The power of harmony" (PDF), ACM SIGACT News, 43 (2): 127–136, doi:10.1145/2261417.2261440, S2CID 14805804

uni-siegen.de

van Stee, Rob (June 2012), "SIGACT news online algorithms column 20: The power of harmony" (PDF), ACM SIGACT News, 43 (2): 127–136, doi:10.1145/2261417.2261440, S2CID 14805804

web.archive.org

Roy, Ranjan (1990), "The discovery of the series formula for $π$ by Leibniz, Gregory and Nilakantha" (PDF), Mathematics Magazine, 63 (5): 291–306, doi:10.1080/0025570X.1990.11977541, archived from the original (PDF) on 2023-03-14, retrieved 2023-03-22
Ayoub, Raymond (1974), "Euler and the zeta function", The American Mathematical Monthly, 81 (10): 1067–86, doi:10.2307/2319041, JSTOR 2319041, archived from the original on 2019-08-14, retrieved 2023-03-22
van der Poorten, Alfred (1979), "A proof that Euler missed ... Apéry's proof of the irrationality of $\zeta (3)$ " (PDF), The Mathematical Intelligencer, 1 (4): 195–203, doi:10.1007/BF03028234, S2CID 121589323, archived from the original (PDF) on 2011-07-06