Jacobian conjecture (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Jacobian conjecture" in English language version.

refsWebsite

Global rank English rank

17doi.org

2^nd place

16ams.org

451^st place

277^th place

5worldcat.org

5^th place

3semanticscholar.org

11^th place

8^th place

2projecteuclid.org

3,707^th place

2,409^th place

1emis.de

low place

1psu.edu

207^th place

136^th place

1uni-goettingen.de

2,594^th place

2,546^th place

1handle.net

102^nd place

76^th place

1arxiv.org

69^th place

59^th place

1harvard.edu

18^th place

17^th place

1math.ac.vn

low place

ams.org (Global: 451^st place; English: 277^th place)

mathscinet.ams.org

van den Essen, Arno (1997), "Polynomial automorphisms and the Jacobian conjecture" (PDF), Algèbre non commutative, groupes quantiques et invariants (Reims, 1995), Sémin. Congr., vol. 2, Paris: Soc. Math. France, pp. 55–81, MR 1601194
Adjamagbo, Kossivi (1995), "On separable algebras over a U.F.D. and the Jacobian conjecture in any characteristic", Automorphisms of affine spaces (Curaçao, 1994), Dordrecht: Kluwer Acad. Publ., pp. 89–103, doi:10.1007/978-94-015-8555-2_5, ISBN 978-90-481-4566-9, MR 1352692
Bass, Hyman; Connell, Edwin H.; Wright, David (1982), "The Jacobian conjecture: reduction of degree and formal expansion of the inverse", Bulletin of the American Mathematical Society, New Series, 7 (2): 287–330, doi:10.1090/S0273-0979-1982-15032-7, ISSN 1088-9485, MR 0663785
Drużkowski, Ludwik M. (1983), "An effective approach to Keller's Jacobian conjecture", Mathematische Annalen, 264 (3): 303–313, doi:10.1007/bf01459126, MR 0714105
Connell, Edwin; van den Dries, Lou (1983), "Injective polynomial maps and the Jacobian conjecture", Journal of Pure and Applied Algebra, 28 (3): 235–239, doi:10.1016/0022-4049(83)90094-4, MR 0701351
Campbell, L. Andrew (1973), "A condition for a polynomial map to be invertible", Mathematische Annalen, 205 (3): 243–248, doi:10.1007/bf01349234, MR 0324062
Razar, Michael (1979), "Polynomial maps with constant Jacobian", Israel Journal of Mathematics, 32 (2–3): 97–106, doi:10.1007/bf02764906, MR 0531253
Wright, David (1981), "On the Jacobian conjecture", Illinois Journal of Mathematics, 25 (3): 423–440, doi:10.1215/ijm/1256047158, MR 0620428
Moh, Tzuong-Tsieng (1983), "On the Jacobian conjecture and the configurations of roots", Journal für die reine und angewandte Mathematik, 1983 (340): 140–212, doi:10.1515/crll.1983.340.140, ISSN 0075-4102, MR 0691964, S2CID 116143599
de Bondt, Michiel; van den Essen, Arno (2005), "A reduction of the Jacobian conjecture to the symmetric case", Proceedings of the American Mathematical Society, 133 (8): 2201–2205, doi:10.1090/S0002-9939-05-07570-2, hdl:2066/33302, MR 2138860
de Bondt, Michiel; van den Essen, Arno (2005), "The Jacobian conjecture for symmetric Drużkowski mappings", Annales Polonici Mathematici, 86 (1): 43–46, doi:10.4064/ap86-1-5, MR 2183036
Drużkowski, Ludwik M. (2005), "The Jacobian conjecture: symmetric reduction and solution in the symmetric cubic linear case", Annales Polonici Mathematici, 87: 83–92, doi:10.4064/ap87-0-7, MR 2208537
Pinchuk, Sergey (1994), "A counterexample to the strong real Jacobian conjecture", Mathematische Zeitschrift, 217 (1): 1–4, doi:10.1007/bf02571929, MR 1292168
Belov-Kanel, Alexei; Kontsevich, Maxim (2007), "The Jacobian conjecture is stably equivalent to the Dixmier conjecture", Moscow Mathematical Journal, 7 (2): 209–218, arXiv:math/0512171, Bibcode:2005math.....12171B, doi:10.17323/1609-4514-2007-7-2-209-218, MR 2337879, S2CID 15150838
Adjamagbo, Pascal Kossivi; van den Essen, Arno (2007), "A proof of the equivalence of the Dixmier, Jacobian and Poisson conjectures" (PDF), Acta Mathematica Vietnamica, 32: 205–214, MR 2368008

ams.org

Bass, Hyman; Connell, Edwin H.; Wright, David (1982). "The Jacobian conjecture: Reduction of degree and formal expansion of the inverse". Bulletin of the American Mathematical Society. 7 (2): 287–330. doi:10.1090/S0273-0979-1982-15032-7. ISSN 0273-0979. (pdf)

arxiv.org (Global: 69^th place; English: 59^th place)

Belov-Kanel, Alexei; Kontsevich, Maxim (2007), "The Jacobian conjecture is stably equivalent to the Dixmier conjecture", Moscow Mathematical Journal, 7 (2): 209–218, arXiv:math/0512171, Bibcode:2005math.....12171B, doi:10.17323/1609-4514-2007-7-2-209-218, MR 2337879, S2CID 15150838

doi.org (Global: 2^nd place; English: 2^nd place)

Keller, Ott-Heinrich (1939), "Ganze Cremona-Transformationen", Monatshefte für Mathematik und Physik, 47 (1): 299–306, doi:10.1007/BF01695502, ISSN 0026-9255
Bass, Hyman; Connell, Edwin H.; Wright, David (1982). "The Jacobian conjecture: Reduction of degree and formal expansion of the inverse". Bulletin of the American Mathematical Society. 7 (2): 287–330. doi:10.1090/S0273-0979-1982-15032-7. ISSN 0273-0979. (pdf)
Smale, Steve (1998). "Mathematical Problems for the Next Century". Mathematical Intelligencer. 20 (2): 7–15. CiteSeerX 10.1.1.35.4101. doi:10.1007/bf03025291. S2CID 1331144.
Adjamagbo, Kossivi (1995), "On separable algebras over a U.F.D. and the Jacobian conjecture in any characteristic", Automorphisms of affine spaces (Curaçao, 1994), Dordrecht: Kluwer Acad. Publ., pp. 89–103, doi:10.1007/978-94-015-8555-2_5, ISBN 978-90-481-4566-9, MR 1352692
Wang, Stuart Sui-Sheng (August 1980), "A Jacobian criterion for separability", Journal of Algebra, 65 (2): 453–494, doi:10.1016/0021-8693(80)90233-1
Bass, Hyman; Connell, Edwin H.; Wright, David (1982), "The Jacobian conjecture: reduction of degree and formal expansion of the inverse", Bulletin of the American Mathematical Society, New Series, 7 (2): 287–330, doi:10.1090/S0273-0979-1982-15032-7, ISSN 1088-9485, MR 0663785
Drużkowski, Ludwik M. (1983), "An effective approach to Keller's Jacobian conjecture", Mathematische Annalen, 264 (3): 303–313, doi:10.1007/bf01459126, MR 0714105
Connell, Edwin; van den Dries, Lou (1983), "Injective polynomial maps and the Jacobian conjecture", Journal of Pure and Applied Algebra, 28 (3): 235–239, doi:10.1016/0022-4049(83)90094-4, MR 0701351
Campbell, L. Andrew (1973), "A condition for a polynomial map to be invertible", Mathematische Annalen, 205 (3): 243–248, doi:10.1007/bf01349234, MR 0324062
Razar, Michael (1979), "Polynomial maps with constant Jacobian", Israel Journal of Mathematics, 32 (2–3): 97–106, doi:10.1007/bf02764906, MR 0531253
Wright, David (1981), "On the Jacobian conjecture", Illinois Journal of Mathematics, 25 (3): 423–440, doi:10.1215/ijm/1256047158, MR 0620428
Moh, Tzuong-Tsieng (1983), "On the Jacobian conjecture and the configurations of roots", Journal für die reine und angewandte Mathematik, 1983 (340): 140–212, doi:10.1515/crll.1983.340.140, ISSN 0075-4102, MR 0691964, S2CID 116143599
de Bondt, Michiel; van den Essen, Arno (2005), "A reduction of the Jacobian conjecture to the symmetric case", Proceedings of the American Mathematical Society, 133 (8): 2201–2205, doi:10.1090/S0002-9939-05-07570-2, hdl:2066/33302, MR 2138860
de Bondt, Michiel; van den Essen, Arno (2005), "The Jacobian conjecture for symmetric Drużkowski mappings", Annales Polonici Mathematici, 86 (1): 43–46, doi:10.4064/ap86-1-5, MR 2183036
Drużkowski, Ludwik M. (2005), "The Jacobian conjecture: symmetric reduction and solution in the symmetric cubic linear case", Annales Polonici Mathematici, 87: 83–92, doi:10.4064/ap87-0-7, MR 2208537
Pinchuk, Sergey (1994), "A counterexample to the strong real Jacobian conjecture", Mathematische Zeitschrift, 217 (1): 1–4, doi:10.1007/bf02571929, MR 1292168
Belov-Kanel, Alexei; Kontsevich, Maxim (2007), "The Jacobian conjecture is stably equivalent to the Dixmier conjecture", Moscow Mathematical Journal, 7 (2): 209–218, arXiv:math/0512171, Bibcode:2005math.....12171B, doi:10.17323/1609-4514-2007-7-2-209-218, MR 2337879, S2CID 15150838

emis.de (Global: low place; English: low place)

van den Essen, Arno (1997), "Polynomial automorphisms and the Jacobian conjecture" (PDF), Algèbre non commutative, groupes quantiques et invariants (Reims, 1995), Sémin. Congr., vol. 2, Paris: Soc. Math. France, pp. 55–81, MR 1601194

handle.net (Global: 102^nd place; English: 76^th place)

hdl.handle.net

de Bondt, Michiel; van den Essen, Arno (2005), "A reduction of the Jacobian conjecture to the symmetric case", Proceedings of the American Mathematical Society, 133 (8): 2201–2205, doi:10.1090/S0002-9939-05-07570-2, hdl:2066/33302, MR 2138860

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Belov-Kanel, Alexei; Kontsevich, Maxim (2007), "The Jacobian conjecture is stably equivalent to the Dixmier conjecture", Moscow Mathematical Journal, 7 (2): 209–218, arXiv:math/0512171, Bibcode:2005math.....12171B, doi:10.17323/1609-4514-2007-7-2-209-218, MR 2337879, S2CID 15150838

math.ac.vn (Global: low place; English: low place)

journals.math.ac.vn

Adjamagbo, Pascal Kossivi; van den Essen, Arno (2007), "A proof of the equivalence of the Dixmier, Jacobian and Poisson conjectures" (PDF), Acta Mathematica Vietnamica, 32: 205–214, MR 2368008

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

Bass, Hyman; Connell, Edwin H.; Wright, David (1982). "The Jacobian conjecture: Reduction of degree and formal expansion of the inverse". Bulletin of the American Mathematical Society. 7 (2): 287–330. doi:10.1090/S0273-0979-1982-15032-7. ISSN 0273-0979. (pdf)
Tsuchimoto, Yoshifumi (2005), "Endomorphisms of Weyl algebra and $p$ -curvatures", Osaka Journal of Mathematics, 42 (2): 435–452, ISSN 0030-6126

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

Smale, Steve (1998). "Mathematical Problems for the Next Century". Mathematical Intelligencer. 20 (2): 7–15. CiteSeerX 10.1.1.35.4101. doi:10.1007/bf03025291. S2CID 1331144.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Smale, Steve (1998). "Mathematical Problems for the Next Century". Mathematical Intelligencer. 20 (2): 7–15. CiteSeerX 10.1.1.35.4101. doi:10.1007/bf03025291. S2CID 1331144.
Moh, Tzuong-Tsieng (1983), "On the Jacobian conjecture and the configurations of roots", Journal für die reine und angewandte Mathematik, 1983 (340): 140–212, doi:10.1515/crll.1983.340.140, ISSN 0075-4102, MR 0691964, S2CID 116143599
Belov-Kanel, Alexei; Kontsevich, Maxim (2007), "The Jacobian conjecture is stably equivalent to the Dixmier conjecture", Moscow Mathematical Journal, 7 (2): 209–218, arXiv:math/0512171, Bibcode:2005math.....12171B, doi:10.17323/1609-4514-2007-7-2-209-218, MR 2337879, S2CID 15150838

uni-goettingen.de (Global: 2,594^th place; English: 2,546^th place)

resolver.sub.uni-goettingen.de

Moh, Tzuong-Tsieng (1983), "On the Jacobian conjecture and the configurations of roots", Journal für die reine und angewandte Mathematik, 1983 (340): 140–212, doi:10.1515/crll.1983.340.140, ISSN 0075-4102, MR 0691964, S2CID 116143599

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

search.worldcat.org

Keller, Ott-Heinrich (1939), "Ganze Cremona-Transformationen", Monatshefte für Mathematik und Physik, 47 (1): 299–306, doi:10.1007/BF01695502, ISSN 0026-9255
Bass, Hyman; Connell, Edwin H.; Wright, David (1982). "The Jacobian conjecture: Reduction of degree and formal expansion of the inverse". Bulletin of the American Mathematical Society. 7 (2): 287–330. doi:10.1090/S0273-0979-1982-15032-7. ISSN 0273-0979. (pdf)
Bass, Hyman; Connell, Edwin H.; Wright, David (1982), "The Jacobian conjecture: reduction of degree and formal expansion of the inverse", Bulletin of the American Mathematical Society, New Series, 7 (2): 287–330, doi:10.1090/S0273-0979-1982-15032-7, ISSN 1088-9485, MR 0663785
Moh, Tzuong-Tsieng (1983), "On the Jacobian conjecture and the configurations of roots", Journal für die reine und angewandte Mathematik, 1983 (340): 140–212, doi:10.1515/crll.1983.340.140, ISSN 0075-4102, MR 0691964, S2CID 116143599
Tsuchimoto, Yoshifumi (2005), "Endomorphisms of Weyl algebra and $p$ -curvatures", Osaka Journal of Mathematics, 42 (2): 435–452, ISSN 0030-6126

Jacobian conjecture (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)