수학의 미해결 문제 목록 (Korean Wikipedia)

Analysis of information sources in references of the Wikipedia article "수학의 미해결 문제 목록" in Korean language version.

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14doi.org

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13ams.org

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12arxiv.org

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7web.archive.org

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5books.google.com

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4semanticscholar.org

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4jstor.org

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3claymath.org

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3harvard.edu

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3psu.edu

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3worldcat.org

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1oxfordjournals.org

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1uni-regensburg.de

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1cnn.com

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1imj-prg.fr

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1ou.edu

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1combinatorics.org

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1utsa.edu

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1log-it-ex.com

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1youtube.com

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1quantamagazine.org

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ams.org (Global: 451^st place; Korean: 121^st place)

“THREE DIMENSIONAL MANIFOLDS, KLEINIAN GROUPS AND HYPERBOLIC GEOMETRY” (PDF). 2021년 10월 14일에 확인함.
Zariski, Oscar (1971). “Some open questions in the theory of singularities”. 《Bulletin of the American Mathematical Society》 77 (4): 481–491. doi:10.1090/S0002-9904-1971-12729-5. MR 0277533.
Melissen, Hans (1993), “Densest packings of congruent circles in an equilateral triangle”, 《American Mathematical Monthly》 100 (10): 916–925, doi:10.2307/2324212, JSTOR 2324212, MR 1252928
Brass, Peter; Moser, William; Pach, János (2005), 《Research Problems in Discrete Geometry》, New York: Springer, 45쪽, ISBN 978-0387-23815-9, MR 2163782
Morris, Walter D.; Soltan, Valeriu (2000), “The Erdős-Szekeres problem on points in convex position—a survey”, 《Bull. Amer. Math. Soc.》 37 (4): 437–458, doi:10.1090/S0273-0979-00-00877-6, MR 1779413 ; Suk, Andrew (2016), “On the Erdős–Szekeres convex polygon problem”, 《J. Amer. Math. Soc.》 30 (4): 1047–1053, arXiv:1604.08657, doi:10.1090/jams/869, S2CID 15732134
Brass, Peter; Moser, William; Pach, János (2005), 〈5.1 The Maximum Number of Unit Distances in the Plane〉, 《Research problems in discrete geometry》, Springer, New York, 183–190쪽, ISBN 978-0-387-23815-9, MR 2163782
Norwood, Rick; Poole, George; Laidacker, Michael (1992), “The worm problem of Leo Moser”, 《Discrete and Computational Geometry》 7 (2): 153–162, doi:10.1007/BF02187832, MR 1139077
Whyte, L. L. (1952), “Unique arrangements of points on a sphere”, 《The American Mathematical Monthly》 59 (9): 606–611, doi:10.2307/2306764, JSTOR 2306764, MR 0050303
Toft, Bjarne (1996), “A survey of Hadwiger's conjecture”, 《Congressus Numerantium》 115: 249–283, MR 1411244 .
Hartsfield, Nora; Ringel, Gerhard (2013), 《Pearls in Graph Theory: A Comprehensive Introduction》, Dover Books on Mathematics, Courier Dover Publications, p. 247, ISBN 978-0-486-31552-2, MR 2047103 .
Brightwell, Graham R.; Felsner, Stefan; Trotter, William T. (1995), “Balancing pairs and the cross product conjecture”, 《Order》 12 (4): 327–349, CiteSeerX 10.1.1.38.7841, doi:10.1007/BF01110378, MR 1368815, S2CID 14793475
Bruhn, Henning; Schaudt, Oliver (2015), “The journey of the union-closed sets conjecture”, 《Graphs and Combinatorics》 31 (6): 2043–2074, arXiv:1309.3297, doi:10.1007/s00373-014-1515-0, MR 3417215, S2CID 17531822
“Bombieri and Tao Receive King Faisal Prize” (PDF). 《Notices of the AMS》 57 (5): 642–643. May 2010. ISSN 1088-9477. OCLC 34550461. Working with Ben Green, he proved there are arbitrarily long arithmetic progressions of prime numbers—a result now known as the Green–Tao theorem.

arxiv.org (Global: 69^th place; Korean: 54^th place)

Maulik, Davesh; Nekrasov, Nikita; Okounov, Andrei; Pandharipande, Rahul (2004년 6월 5일), 《Gromov–Witten theory and Donaldson–Thomas theory, I》, arXiv:math/0312059, Bibcode:2003math.....12059M
Aronov, Boris; Dujmović, Vida; Morin, Pat; Ooms, Aurélien; Schultz Xavier da Silveira, Luís Fernando (2019), “More Turán-type theorems for triangles in convex point sets”, 《Electronic Journal of Combinatorics》 26 (1): P1.8, arXiv:1706.10193, Bibcode:2017arXiv170610193A, doi:10.37236/7224, 2019년 2월 18일에 원본 문서에서 보존된 문서, 2021년 10월 11일에 확인함
Morris, Walter D.; Soltan, Valeriu (2000), “The Erdős-Szekeres problem on points in convex position—a survey”, 《Bull. Amer. Math. Soc.》 37 (4): 437–458, doi:10.1090/S0273-0979-00-00877-6, MR 1779413 ; Suk, Andrew (2016), “On the Erdős–Szekeres convex polygon problem”, 《J. Amer. Math. Soc.》 30 (4): 1047–1053, arXiv:1604.08657, doi:10.1090/jams/869, S2CID 15732134
Bruhn, Henning; Schaudt, Oliver (2016). “Newer sums of three cubes”. arXiv:1604.07746v1 [math.NT].
Tao, Terence (2017), “Some remarks on the lonely runner conjecture”, arXiv:1701.02048 [math.CO]
Bruhn, Henning; Schaudt, Oliver (2015), “The journey of the union-closed sets conjecture”, 《Graphs and Combinatorics》 31 (6): 2043–2074, arXiv:1309.3297, doi:10.1007/s00373-014-1515-0, MR 3417215, S2CID 17531822
Bruhn, Henning; Schaudt, Oliver (2015). “The Erdos discrepancy problem”. arXiv:1509.05363v5 [math.CO].
Helfgott, Harald A. (2013). “Major arcs for Goldbach's theorem”. arXiv:1305.2897 [math.NT].
Helfgott, Harald A. (2012). “Minor arcs for Goldbach's problem”. arXiv:1205.5252 [math.NT].
Helfgott, Harald A. (2013). “The ternary Goldbach conjecture is true”. arXiv:1312.7748 [math.NT].
Croot, Ernest S., III (2000), 《Unit Fractions》, Ph.D. thesis, 조지아 대학교 . Croot, Ernest S., III (2003), “On a coloring conjecture about unit fractions”, 《수학연보》 157 (2): 545–556, arXiv:math.NT/0311421, Bibcode:2003math.....11421C, doi:10.4007/annals.2003.157.545
Bruhn, Henning; Schaudt, Oliver (2015). “A formal proof of the Kepler conjecture”. arXiv:1501.02155 [math.MG].

books.google.com (Global: 3^rd place; Korean: 9^th place)

Guy, Richard (1994), 《Unsolved Problems in Number Theory》 2판, Springer, vii쪽, ISBN 978-1-4899-3585-4, 2021년 10월 14일에 확인함 .
Abe, Jair Minoro; Tanaka, Shotaro (2001). 《Unsolved Problems on Mathematics for the 21st Century》. IOS Press. ISBN 978-9051994902.
Conway, John H.; Neil J.A. Sloane (1999), 《Sphere Packings, Lattices and Groups》 3판, New York: Springer-Verlag, 21–22쪽, ISBN 978-0-387-98585-5
Brass, Peter; Moser, William; Pach, János (2005), 《Research Problems in Discrete Geometry》, New York: Springer, 45쪽, ISBN 978-0387-23815-9, MR 2163782
Hartsfield, Nora; Ringel, Gerhard (2013), 《Pearls in Graph Theory: A Comprehensive Introduction》, Dover Books on Mathematics, Courier Dover Publications, p. 247, ISBN 978-0-486-31552-2, MR 2047103 .

claymath.org (Global: 8,402^nd place; Korean: 4,026^th place)

“Millennium Problems”. 2024년 4월 28일에 확인함.
“Poincaré Conjecture”. 《Clay Mathematics Institute》. 2013년 12월 15일에 원본 문서에서 보존된 문서.
“Prize for Resolution of the Poincaré Conjecture Awarded to Dr. Grigoriy Perelman” (보도 자료). 클레이 수학연구소. 2010년 3월 22일에 원본 문서 (PDF)에서 보존된 문서. The Clay Mathematics Institute hereby awards the Millennium Prize for resolution of the Poincaré conjecture to Grigoriy Perelman.

cnn.com (Global: 28^th place; Korean: 89^th place)

edition.cnn.com

“DARPA invests in math”. CNN. 2008년 10월 14일. 2021년 10월 14일에 확인함.

combinatorics.org (Global: low place; Korean: low place)

Aronov, Boris; Dujmović, Vida; Morin, Pat; Ooms, Aurélien; Schultz Xavier da Silveira, Luís Fernando (2019), “More Turán-type theorems for triangles in convex point sets”, 《Electronic Journal of Combinatorics》 26 (1): P1.8, arXiv:1706.10193, Bibcode:2017arXiv170610193A, doi:10.37236/7224, 2019년 2월 18일에 원본 문서에서 보존된 문서, 2021년 10월 11일에 확인함

doi.org (Global: 2^nd place; Korean: 3^rd place)

dx.doi.org

Shimura, G. (1989). “Yutaka Taniyama and his time”. 《Bulletin of the London Mathematical Society》 21 (2): 186–196. doi:10.1112/blms/21.2.186. 2021년 10월 14일에 확인함.
Zariski, Oscar (1971). “Some open questions in the theory of singularities”. 《Bulletin of the American Mathematical Society》 77 (4): 481–491. doi:10.1090/S0002-9904-1971-12729-5. MR 0277533.
Barlet, Daniel; Peternell, Thomas; Schneider, Michael (1990). “On two conjectures of Hartshorne's”. 《Mathematische Annalen》 286 (1–3): 13–25. doi:10.1007/BF01453563. S2CID 122151259.
Melissen, Hans (1993), “Densest packings of congruent circles in an equilateral triangle”, 《American Mathematical Monthly》 100 (10): 916–925, doi:10.2307/2324212, JSTOR 2324212, MR 1252928
Aronov, Boris; Dujmović, Vida; Morin, Pat; Ooms, Aurélien; Schultz Xavier da Silveira, Luís Fernando (2019), “More Turán-type theorems for triangles in convex point sets”, 《Electronic Journal of Combinatorics》 26 (1): P1.8, arXiv:1706.10193, Bibcode:2017arXiv170610193A, doi:10.37236/7224, 2019년 2월 18일에 원본 문서에서 보존된 문서, 2021년 10월 11일에 확인함
Morris, Walter D.; Soltan, Valeriu (2000), “The Erdős-Szekeres problem on points in convex position—a survey”, 《Bull. Amer. Math. Soc.》 37 (4): 437–458, doi:10.1090/S0273-0979-00-00877-6, MR 1779413 ; Suk, Andrew (2016), “On the Erdős–Szekeres convex polygon problem”, 《J. Amer. Math. Soc.》 30 (4): 1047–1053, arXiv:1604.08657, doi:10.1090/jams/869, S2CID 15732134
Wagner, Neal R. (1976), “The Sofa Problem” (PDF), 《The American Mathematical Monthly》 83 (3): 188–189, doi:10.2307/2977022, 2015년 4월 20일에 원본 문서 (PDF)에서 보존된 문서, 2021년 11월 28일에 확인함
Norwood, Rick; Poole, George; Laidacker, Michael (1992), “The worm problem of Leo Moser”, 《Discrete and Computational Geometry》 7 (2): 153–162, doi:10.1007/BF02187832, MR 1139077
Whyte, L. L. (1952), “Unique arrangements of points on a sphere”, 《The American Mathematical Monthly》 59 (9): 606–611, doi:10.2307/2306764, JSTOR 2306764, MR 0050303
Brightwell, Graham R.; Felsner, Stefan; Trotter, William T. (1995), “Balancing pairs and the cross product conjecture”, 《Order》 12 (4): 327–349, CiteSeerX 10.1.1.38.7841, doi:10.1007/BF01110378, MR 1368815, S2CID 14793475
Bruhn, Henning; Schaudt, Oliver (2015), “The journey of the union-closed sets conjecture”, 《Graphs and Combinatorics》 31 (6): 2043–2074, arXiv:1309.3297, doi:10.1007/s00373-014-1515-0, MR 3417215, S2CID 17531822
Croot, Ernest S., III (2000), 《Unit Fractions》, Ph.D. thesis, 조지아 대학교 . Croot, Ernest S., III (2003), “On a coloring conjecture about unit fractions”, 《수학연보》 157 (2): 545–556, arXiv:math.NT/0311421, Bibcode:2003math.....11421C, doi:10.4007/annals.2003.157.545
앤드루 와일스 (1995). “Modular elliptic curves and Fermat's Last Theorem”. 《수학연보》 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255.
리처드 로런스 테일러, 앤드루 와일스 (1995). “Ring theoretic properties of certain Hecke algebras”. 《수학연보》 141 (3): 553–572. CiteSeerX 10.1.1.128.531. doi:10.2307/2118560. JSTOR 2118560. OCLC 37032255.

harvard.edu (Global: 18^th place; Korean: 27^th place)

adsabs.harvard.edu

Maulik, Davesh; Nekrasov, Nikita; Okounov, Andrei; Pandharipande, Rahul (2004년 6월 5일), 《Gromov–Witten theory and Donaldson–Thomas theory, I》, arXiv:math/0312059, Bibcode:2003math.....12059M
Aronov, Boris; Dujmović, Vida; Morin, Pat; Ooms, Aurélien; Schultz Xavier da Silveira, Luís Fernando (2019), “More Turán-type theorems for triangles in convex point sets”, 《Electronic Journal of Combinatorics》 26 (1): P1.8, arXiv:1706.10193, Bibcode:2017arXiv170610193A, doi:10.37236/7224, 2019년 2월 18일에 원본 문서에서 보존된 문서, 2021년 10월 11일에 확인함
Croot, Ernest S., III (2000), 《Unit Fractions》, Ph.D. thesis, 조지아 대학교 . Croot, Ernest S., III (2003), “On a coloring conjecture about unit fractions”, 《수학연보》 157 (2): 545–556, arXiv:math.NT/0311421, Bibcode:2003math.....11421C, doi:10.4007/annals.2003.157.545

imj-prg.fr (Global: low place; Korean: low place)

webusers.imj-prg.fr

Michel Waldschmidt, 2008, "An introduction to irrationality and transcendence methods," at The University of Arizona The Southwest Center for Arithmetic Geometry 2008 Arizona Winter School, March 15–19, 2008 (Special Functions and Transcendence), [7], 2021년 10월 11일 확인.

jstor.org (Global: 26^th place; Korean: 70^th place)

Melissen, Hans (1993), “Densest packings of congruent circles in an equilateral triangle”, 《American Mathematical Monthly》 100 (10): 916–925, doi:10.2307/2324212, JSTOR 2324212, MR 1252928
Whyte, L. L. (1952), “Unique arrangements of points on a sphere”, 《The American Mathematical Monthly》 59 (9): 606–611, doi:10.2307/2306764, JSTOR 2306764, MR 0050303
앤드루 와일스 (1995). “Modular elliptic curves and Fermat's Last Theorem”. 《수학연보》 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255.
리처드 로런스 테일러, 앤드루 와일스 (1995). “Ring theoretic properties of certain Hecke algebras”. 《수학연보》 141 (3): 553–572. CiteSeerX 10.1.1.128.531. doi:10.2307/2118560. JSTOR 2118560. OCLC 37032255.

log-it-ex.com (Global: low place; Korean: low place)

english.log-it-ex.com

“보관된 사본”. 2017년 11월 10일에 원본 문서에서 보존된 문서. 2020년 8월 14일에 확인함. Ten open questions about Sudoku (2012-01-21).

ou.edu (Global: 5,878^th place; Korean: low place)

www2.math.ou.edu

John Albert, posting date unknown, "Some unsolved problems in number theory" [from Victor Klee & Stan Wagon, "Old and New Unsolved Problems in Plane Geometry and Number Theory"], in University of Oklahoma Math 4513 course materials, [8], 2021년 10월 11일 확인.

oxfordjournals.org (Global: 1,389^th place; Korean: 550^th place)

blms.oxfordjournals.org

Shimura, G. (1989). “Yutaka Taniyama and his time”. 《Bulletin of the London Mathematical Society》 21 (2): 186–196. doi:10.1112/blms/21.2.186. 2021년 10월 14일에 확인함.

psu.edu (Global: 207^th place; Korean: 220^th place)

citeseerx.ist.psu.edu

Brightwell, Graham R.; Felsner, Stefan; Trotter, William T. (1995), “Balancing pairs and the cross product conjecture”, 《Order》 12 (4): 327–349, CiteSeerX 10.1.1.38.7841, doi:10.1007/BF01110378, MR 1368815, S2CID 14793475
앤드루 와일스 (1995). “Modular elliptic curves and Fermat's Last Theorem”. 《수학연보》 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255.
리처드 로런스 테일러, 앤드루 와일스 (1995). “Ring theoretic properties of certain Hecke algebras”. 《수학연보》 141 (3): 553–572. CiteSeerX 10.1.1.128.531. doi:10.2307/2118560. JSTOR 2118560. OCLC 37032255.

quantamagazine.org (Global: 6,413^th place; Korean: 1,959^th place)

Wolchover, Natalie, “Pentagon Tiling Proof Solves Century-Old Math Problem”, 《Quanta Magazine》

semanticscholar.org (Global: 11^th place; Korean: 310^th place)

api.semanticscholar.org

Barlet, Daniel; Peternell, Thomas; Schneider, Michael (1990). “On two conjectures of Hartshorne's”. 《Mathematische Annalen》 286 (1–3): 13–25. doi:10.1007/BF01453563. S2CID 122151259.
Morris, Walter D.; Soltan, Valeriu (2000), “The Erdős-Szekeres problem on points in convex position—a survey”, 《Bull. Amer. Math. Soc.》 37 (4): 437–458, doi:10.1090/S0273-0979-00-00877-6, MR 1779413 ; Suk, Andrew (2016), “On the Erdős–Szekeres convex polygon problem”, 《J. Amer. Math. Soc.》 30 (4): 1047–1053, arXiv:1604.08657, doi:10.1090/jams/869, S2CID 15732134
Brightwell, Graham R.; Felsner, Stefan; Trotter, William T. (1995), “Balancing pairs and the cross product conjecture”, 《Order》 12 (4): 327–349, CiteSeerX 10.1.1.38.7841, doi:10.1007/BF01110378, MR 1368815, S2CID 14793475
Bruhn, Henning; Schaudt, Oliver (2015), “The journey of the union-closed sets conjecture”, 《Graphs and Combinatorics》 31 (6): 2043–2074, arXiv:1309.3297, doi:10.1007/s00373-014-1515-0, MR 3417215, S2CID 17531822

theguardian.com (Global: 12^th place; Korean: 65^th place)

Bellos, Alex (2014년 8월 13일). “Fields Medals 2014: the maths of Avila, Bhargava, Hairer and Mirzakhani explained”. 《가디언》. 2021년 10월 14일에 확인함.

uni-regensburg.de (Global: low place; Korean: low place)

“Archived copy” (PDF). 2016년 2월 8일에 원본 문서 (PDF)에서 보존된 문서. 2021년 10월 14일에 확인함.

utk.edu (Global: 4,653^rd place; Korean: 1,340^th place)

math.utk.edu

“Broad Agency Announcement (BAA 07-68) for Defense Sciences Office (DSO)”. DARPA. 2007년 9월 10일. 2012년 10월 1일에 원본 문서에서 보존된 문서. 2021년 10월 14일에 확인함.

utsa.edu (Global: low place; Korean: low place)

cs.utsa.edu

Wagner, Neal R. (1976), “The Sofa Problem” (PDF), 《The American Mathematical Monthly》 83 (3): 188–189, doi:10.2307/2977022, 2015년 4월 20일에 원본 문서 (PDF)에서 보존된 문서, 2021년 11월 28일에 확인함

web.archive.org (Global: 1^st place; Korean: 1^st place)

“Archived copy” (PDF). 2016년 2월 8일에 원본 문서 (PDF)에서 보존된 문서. 2021년 10월 14일에 확인함.
“Broad Agency Announcement (BAA 07-68) for Defense Sciences Office (DSO)”. DARPA. 2007년 9월 10일. 2012년 10월 1일에 원본 문서에서 보존된 문서. 2021년 10월 14일에 확인함.
“Poincaré Conjecture”. 《Clay Mathematics Institute》. 2013년 12월 15일에 원본 문서에서 보존된 문서.
Aronov, Boris; Dujmović, Vida; Morin, Pat; Ooms, Aurélien; Schultz Xavier da Silveira, Luís Fernando (2019), “More Turán-type theorems for triangles in convex point sets”, 《Electronic Journal of Combinatorics》 26 (1): P1.8, arXiv:1706.10193, Bibcode:2017arXiv170610193A, doi:10.37236/7224, 2019년 2월 18일에 원본 문서에서 보존된 문서, 2021년 10월 11일에 확인함
Wagner, Neal R. (1976), “The Sofa Problem” (PDF), 《The American Mathematical Monthly》 83 (3): 188–189, doi:10.2307/2977022, 2015년 4월 20일에 원본 문서 (PDF)에서 보존된 문서, 2021년 11월 28일에 확인함
“보관된 사본”. 2017년 11월 10일에 원본 문서에서 보존된 문서. 2020년 8월 14일에 확인함. Ten open questions about Sudoku (2012-01-21).
“Prize for Resolution of the Poincaré Conjecture Awarded to Dr. Grigoriy Perelman” (보도 자료). 클레이 수학연구소. 2010년 3월 22일에 원본 문서 (PDF)에서 보존된 문서. The Clay Mathematics Institute hereby awards the Millennium Prize for resolution of the Poincaré conjecture to Grigoriy Perelman.

wolfram.com (Global: 513^th place; Korean: 230^th place)

mathworld.wolfram.com

다음의 Eric W.Weisstein의 문서는 각 수들에 대한 설명이다. π: [1], e: [2], 킨친 상수: [3], 무리수: [4], 초월수 [5], 무리성 측도: [6], Wolfram MathWorld, 2021년 10월 11일 확인.

worldcat.org (Global: 5^th place; Korean: 11^th place)

“Bombieri and Tao Receive King Faisal Prize” (PDF). 《Notices of the AMS》 57 (5): 642–643. May 2010. ISSN 1088-9477. OCLC 34550461. Working with Ben Green, he proved there are arbitrarily long arithmetic progressions of prime numbers—a result now known as the Green–Tao theorem.
앤드루 와일스 (1995). “Modular elliptic curves and Fermat's Last Theorem”. 《수학연보》 141 (3): 443–551. CiteSeerX 10.1.1.169.9076. doi:10.2307/2118559. JSTOR 2118559. OCLC 37032255.
리처드 로런스 테일러, 앤드루 와일스 (1995). “Ring theoretic properties of certain Hecke algebras”. 《수학연보》 141 (3): 553–572. CiteSeerX 10.1.1.128.531. doi:10.2307/2118560. JSTOR 2118560. OCLC 37032255.

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“Higher-Dimensional Tic-Tac-Toe”. 《PBS》. YouTube. 2017년 9월 21일. 2021년 10월 14일에 확인함.

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