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Coates, John Henry (b. 1945 d. 2022)

Author ID: coates.john-h Recent zbMATH articles by "Coates, John Henry"
Published as: Coates, John; Coates, J.; Coates, John H.; Coates, J. H.
Homepage: https://www.emma.cam.ac.uk/about/contact/fellows/?id=83
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Videos: carmin.tv
all top 5

Co-Authors

52 single-authored
21 Ramdorai, Sujatha
5 Liang, Zhibin
4 Li, Yongxiong
4 Schneider, Peter
4 Wiles, Andrew John
3 Kato, Kazuya
3 Kim, Minhyong
3 Mazur, Barry
3 Sinnott, Warren M.
2 Baker, Alan
2 Fukaya, Takako
2 Greenberg, Ralph
2 Howson, Susan
2 Iwasawa, Kenkichi
2 Kurihara, Masato
2 Lichtenbaum, Stephen
2 Perrin-Riou, Bernadette
2 Saikia, Anupam
2 Satake, Ichirô
2 Venjakob, Otmar
2 Yau, Shing-Tung
1 Acquista, Karen
1 Birch, Bryan John
1 Boston, Nigel
1 Buhler, Joe P.
1 Choi, Junhwa
1 Clausen, Dustin
1 Cohen, Paul Joseph
1 Colliot-Thélène, Jean-Louis
1 Dalawat, Chandan Singh
1 Dokchitser, R.
1 Dokchitser, Tim
1 Dokchitser, Vladimir
1 Duesberg, Peter
1 Ewing, John Harwood
1 Fujisaki, Genjiro
1 Gerver, Joseph L.
1 Goldberg, Lisa A.
1 Goldfeld, Dorian Morris
1 Goldstein, Catherine
1 Greenberg, Marvin Jay
1 Gross, Benedict Hyman
1 Grunewald, Fritz J.
1 Hirzebruch, Friedrich
1 Howe, Roger Evans
1 Hunt, David C.
1 Jackson, Allyn
1 Jorgenson, Jay Alan
1 Kim, Dohyeong
1 Kobayashi, Shoshichi
1 Kramer, Jürg
1 Krantz, Steven George
1 Lachaud, Gilles
1 Lang, Serge
1 Li, Jianing
1 Lubin, Jonathan D.
1 McConnell, Gary
1 Murty, Vijaya Kumar
1 Nakajima, Shōichi
1 Poitou, Georges
1 Pop, Florian
1 Popescu, Cristian D.
1 Raghuram, Anantharam
1 Ribet, Kenneth Alan
1 Rohrlich, David E.
1 Saïdi, Mohamed Réda
1 Schappacher, Norbert
1 Schmidt, Claus-Günther
1 Silverman, Joseph Hillel
1 Skorobogatov, Alexei Nikolaïevitch
1 Smale, Stephen
1 Stanley, Morgan
1 Sydenham, A.
1 Taylor, Martin J.
1 Tian, Ye
1 Uhlenbeck, Karen Keskulla
1 van der Poorten, Alfred J.
1 Vojta, Paul Alan
1 Voloch, José Felipe
1 Wintenberger, Jean-Pierre
1 Wu, Hung-Hsi
1 Wüstholz, Gisbert
1 Zhai, Shuai
1 Zhao, Chunlai
all top 5

Serials

7 Inventiones Mathematicae
5 Proceedings of the London Mathematical Society. Third Series
5 Notices of the American Mathematical Society
3 Acta Arithmetica
3 Proceedings of the Cambridge Philosophical Society
2 American Journal of Mathematics
2 Publications Mathématiques
2 Proceedings of the National Academy of Sciences of the United States of America
2 Documenta Mathematica
2 Annals of Mathematics. Second Series
2 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research
2 London Mathematical Society Lecture Note Series
2 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
2 ICCM Notices
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematics of Computation
1 Acta Mathematica Vietnamica
1 Bulletin of the London Mathematical Society
1 Gazette des Mathématiciens
1 Journal of Algebra
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Journal of the Australian Mathematical Society. Series A
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Journal of Algebraic Geometry
1 Selecta Mathematica. New Series
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Acta Mathematica Sinica. English Series
1 Journal of the Australian Mathematical Society
1 Milan Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Oberwolfach Reports
1 Pure and Applied Mathematics Quarterly
1 Advanced Studies in Pure Mathematics
1 Series in Number Theory
1 Ramanujan Mathematical Society Lecture Notes Series
1 BSHM Bulletin
1 Münster Journal of Mathematics
1 Kyoto Journal of Mathematics
1 Springer Proceedings in Mathematics & Statistics
1 SpringerBriefs in Mathematics
1 Springer Monographs in Mathematics

Publications by Year

Citations contained in zbMATH Open

85 Publications have been cited 1,329 times in 848 Documents Cited by Year
On the conjecture of Birch and Swinnerton-Dyer. Zbl 0359.14009
Coates, J.; Wiles, A.
125
1977
The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication. Zbl 1108.11081
Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai; Venjakob, Otmar
98
2005
Kummer theory for abelian varieties over local fields. Zbl 0858.11032
Coates, J.; Greenberg, R.
74
1996
Fine Selmer groups of elliptic curves over \(p\)-adic Lie extensions. Zbl 1197.11142
Coates, J.; Sujatha, R.
60
2005
p-adic L-functions and Iwasawa’s theory. Zbl 0393.12027
Coates, John
49
1977
Galois cohomology of elliptic curves. Zbl 0973.11059
Coates, J.; Sujatha, R.
45
2000
On l-adic zeta functions. Zbl 0279.12005
Coates, J.; Lichtenbaum, S.
45
1973
On \(K_2\) and some classical conjectures in algebraic number theory. Zbl 0245.12005
Coates, John
44
1972
On \(p\)-adic \(L\)-functions and elliptic units. Zbl 0442.12007
Coates, J.; Wiles, A.
39
1978
Modules over Iwasawa algebras. Zbl 1061.11060
Coates, J.; Schneider, P.; Sujatha, R.
31
2003
Euler characteristics and elliptic curves. II. Zbl 1046.11079
Coates, John; Howson, Susan
31
2001
Construction of rational functions on a curve. Zbl 0215.37302
Coates, J.
30
1970
On \(p\)-adic \(L\)-functions attached to motives over \(\mathbb Q\). Zbl 0783.11039
Coates, John; Perrin-Riou, Bernadette
28
1989
Root numbers, Selmer groups, and non-commutative Iwasawa theory. Zbl 1213.11135
Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai
28
2010
An analogue of Stickelberger’s theorem for the higher K-groups. Zbl 0282.12006
Coates, J.; Sinnott, W.
27
1974
Iwasawa theory for the symmetric square of an elliptic curve. Zbl 0609.14013
Coates, J.; Schmidt, C.-G.
26
1987
Computations in non-commutative Iwasawa theory (with an appendix by J. Coates and R. Sujatha). Zbl 1206.11083
Dokchitser, R.; Dokchitser, V.
24
2007
Quadratic twists of elliptic curves. Zbl 1311.11046
Coates, John; Li, Yongxiong; Tian, Ye; Zhai, Shuai
24
2015
On the algebraic approximation of functions. I-III. Zbl 0147.03304
Coates, J.
24
1966
Links between cyclotomic and \(\text{GL}_2\) Iwasawa theory. Zbl 1142.11366
Coates, John; Schneider, Peter; Sujatha, Ramdorai
23
2003
On p-adic L-functions over real quadratic fields. Zbl 0305.12008
Coates, J.; Sinnott, W.
22
1974
Integer points on curves of genus 1. Zbl 0194.07601
Baker, A.; Coates, J.
22
1970
Elliptic curves with complex multiplication and Iwasawa theory. Zbl 0752.11024
Coates, John
20
1991
Cyclotomic fields and zeta values. Zbl 1100.11002
Coates, John; Sujatha, R.
20
2006
Kummer’s criterion for Hurwitz numbers. Zbl 0369.12009
Coates, J.; Wiles, A.
19
1977
Fragments of the \(\text{GL}_2\) Iwasawa theory of elliptic curves without complex multiplication. Zbl 1029.11016
Coates, John
18
1999
Infinite descent on elliptic curves with complex multiplication. Zbl 0541.14026
Coates, John
18
1983
Selmer varieties for curves with CM Jacobians. Zbl 1283.11092
Coates, John; Kim, Minhyong
18
2010
An effective \(p\)-adic analogue of a theorem of Thue. Zbl 0221.10025
Coates, John
16
1969
Galois cohomology of elliptic curves. 2nd ed. Zbl 1213.11115
Coates, John; Sujatha, Ramdorai
14
2010
Diophantine approximation on abelian varieties with complex multiplication. Zbl 0342.10018
Coates, John; Lang, Serge
13
1976
Motivic p-adic L-functions. Zbl 0725.11029
Coates, John
13
1991
An effective \(p\)-adic analogue of a theorem of Thue. III: The diophantine equation \(y^2 = x^3 + k\). Zbl 0221.10027
Coates, John
13
1970
Integrality properties of the values of partial zeta functions. Zbl 0354.12009
Coates, J.; Sinnott, W.
12
1977
On the Euler-Poincaré characteristics of finite dimensional \(p\)-adic Galois representations. Zbl 1143.11021
Coates, John; Sujatha, Ramdorai; Wintenberger, Jean-Pierre
12
2001
Elliptic curves of conductor 11. Zbl 0475.14031
Agrawal, M. K.; Coates, J. H.; Hunt, D. C.; van der Poorten, A. J.
12
1980
On the \(\mathfrak M_H(G)\)-conjecture. Zbl 1278.11099
Coates, John H.; Sujatha, Ramdorai
12
2012
On \(p\)-adic \(L\)-functions attached to motives over \(\mathbb Q\). II. Zbl 0783.11040
Coates, John
11
1989
An application of the division theory of elliptic functions to diophantine approximation. Zbl 0216.04403
Coates, John
11
1970
An effective \(p\)-adic analogue of a theorem of Thue. II: The greatest prime factor of a binary form. Zbl 0221.10026
Coates, John
11
1970
\(K\)-theory and Iwasawa’s analogue of the Jacobian. Zbl 0284.12006
Coates, John
11
1973
Iwasawa theory of modular elliptic curves of analytic rank at most 1. Zbl 0864.11053
Coates, John; McConnell, Gary
10
1994
Elliptic curves, modular forms, & Fermat’s last theorem. Proceedings ot the conference on elliptic curves and modular forms held at the Chinese University of Hong Kong, December 18-21, 1993. Zbl 0824.00025
10
1995
Caractéristique d’Euler- Poincaré des variétés abéliennes. (Euler-Poincaré characteristic of abelian varieties.) Zbl 0967.14029
Coates, John; Sujatha, Ramdorai
9
1999
On \(p\)-adic \(L\)-functions. Zbl 0706.11064
Coates, John
9
1989
The transcendence of linear forms in \(\omega_1, \omega_2, \eta_1, \eta_2, 2\pi i\). Zbl 0224.10032
Coates, John
8
1971
Fractional parts of powers of rationals. Zbl 0298.10018
Baker, A.; Coates, J.
8
1975
The enigmatic Tate-Shafarevich group. Zbl 1268.11088
Coates, John
8
2012
Some remarks on the main conjecture for elliptic curves with complex multipliation. Zbl 0524.14023
Coates, John; Goldstein, Catherine
7
1983
Fine Selmer groups for elliptic curves with complex multiplication. Zbl 1082.11032
Coates, J.; Sujatha, R.
7
2005
Linear forms in the periods of the exponential and elliptic functions. Zbl 0217.04001
Coates, John
6
1971
Elliptic curves, modular forms & Fermat’s last theorem. Proceedings of the conference on elliptic curves and modular forms, Chinese University of Hong Kong, China, December 18–21, 1993. 2nd ed. Zbl 0997.11504
5
1997
On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication. Zbl 1308.11057
Coates, John; Kim, Minhyong; Liang, Zhibin; Zhao, Chunlai
5
2014
Non-vanishing theorems for central \(L\)-values of some elliptic curves with complex multiplication. Zbl 1487.11059
Coates, John; Li, Yongxiong
5
2020
The work of Mazur and Wiles on cyclotomic fields. Zbl 0506.12001
Coates, John
4
1981
Elliptic curves and Iwasawa theory. Zbl 0561.14012
Coates, John
4
1984
Iwasawa theory of quadratic twists of \(X_{0}(49)\). Zbl 1434.11115
Choi, Junhwa; Coates, John
4
2018
Iwasawa algebras and arithmetic. Zbl 1077.11077
Coates, John
3
2003
The conjecture of Birch and Swinnerton-Dyer. Zbl 1403.11053
Coates, John
3
2016
Congruent number problem. Zbl 1169.11309
Coates, John H.
3
2005
Research problems: Arithmetic questions in \(K\)-theory. Zbl 0278.18007
Coates, J.
3
1973
Elliptic curves – the crossroads of theory and computation. Zbl 1133.11311
Coates, John
3
2002
Noncommutative Iwasawa main conjectures over totally real fields. Based on a workshop, Münster, Germany, April 25–30, 2011. Zbl 1253.11002
3
2013
Values of the Riemann zeta function at the odd positive integers and Iwasawa theory. Zbl 1383.11097
Coates, John
3
2015
Introduction to the work of M. Kakde on the non-commutative main conjectures for totally real fields. Zbl 1270.11107
Coates, John; Kim, Dohyeong
3
2013
Explicit reciprocity laws. Zbl 0358.12001
Coates, J.; Wiles, A.
2
1977
An application of the Thue-Siegel-Roth theorem to elliptic functions. Zbl 0213.32702
Coates, J.
2
1971
Linear relations between 2\(\pi\)i and the periods of two elliptic curves. Zbl 0264.10022
Coates, John
2
1973
Non-abelian fundamental groups and Iwasawa theory. Zbl 1237.11001
2
2012
Euler characteristics and elliptic curves. Zbl 0924.11045
Coates, John; Howson, Susan
2
1997
The Bloch-Kato conjecture for the Riemann zeta function. Proceedings of the workshop ’The Bloch-Kato conjecture for the Riemann zeta function at the odd positive integers’, Pune, India, July 1012. Zbl 1321.11003
2
2015
Approximation in algebraic function fields of one variable. Zbl 0159.50704
Coates, J.
2
1967
Non-commutative Iwasawa theory for modular forms. Zbl 1291.11089
Coates, John H.; Dokchitser, Tim; Liang, Zhibin; Stein, William; Sujatha, R.
2
2013
The Tate-Shafarevich group for elliptic curves with complex multiplication. Zbl 1239.11069
Coates, John H.; Liang, Zhibin; Sujatha, R.
2
2009
L-functions and arithmetic. Proceedings of the London Mathematical Society symposium, held at the University of Durham/UK, from June 30 until July 11, 1989. Zbl 0718.00005
1
1991
The work of Gross and Zagier on Heegner points and the derivatives of \(L\)-series. Zbl 0608.14020
Coates, John
1
1986
Verification of Weil’s conjecture on elliptic curves over \(\mathbb Q\) in some special cases. Zbl 0345.14007
Coates, John
1
1972
On Iwasawa’s analogue of the Jacobian for totally real number fields. Zbl 0279.12006
Coates, John
1
1973
Collected papers. Vol. I, II. Edited by Ichiro Satake, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara and Shoichi Nakajima. Zbl 1021.01006
Iwasawa, Kenkichi
1
2001
The main conjecture. Zbl 1253.11097
Coates, J.; Sujatha, R.
1
2010
The Tate-Shafarevich group for elliptic curves with complex multiplication. II. Zbl 1295.11059
Coates, John H.; Liang, Zhibin; Sujatha, R.
1
2010
On the algebraic approximation of functions. IV. Zbl 0148.27506
Coates, J.
1
1967
Hecke’s \(L\)-functions. Spring, 1964. With a foreword by John Coates and Masato Kurihara. Zbl 1455.11007
Iwasawa, Kenkichi
1
2019
Congruent numbers. Zbl 1298.11052
Coates, John H.
1
2012
Classical Iwasawa theory and infinite descent on a family of abelian varieties. Zbl 1476.11136
Coates, John; Li, Jianing; Li, Yongxiong
1
2021
Classical Iwasawa theory and infinite descent on a family of abelian varieties. Zbl 1476.11136
Coates, John; Li, Jianing; Li, Yongxiong
1
2021
Non-vanishing theorems for central \(L\)-values of some elliptic curves with complex multiplication. Zbl 1487.11059
Coates, John; Li, Yongxiong
5
2020
Hecke’s \(L\)-functions. Spring, 1964. With a foreword by John Coates and Masato Kurihara. Zbl 1455.11007
Iwasawa, Kenkichi
1
2019
Iwasawa theory of quadratic twists of \(X_{0}(49)\). Zbl 1434.11115
Choi, Junhwa; Coates, John
4
2018
The conjecture of Birch and Swinnerton-Dyer. Zbl 1403.11053
Coates, John
3
2016
Quadratic twists of elliptic curves. Zbl 1311.11046
Coates, John; Li, Yongxiong; Tian, Ye; Zhai, Shuai
24
2015
Values of the Riemann zeta function at the odd positive integers and Iwasawa theory. Zbl 1383.11097
Coates, John
3
2015
The Bloch-Kato conjecture for the Riemann zeta function. Proceedings of the workshop ’The Bloch-Kato conjecture for the Riemann zeta function at the odd positive integers’, Pune, India, July 1012. Zbl 1321.11003
2
2015
On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication. Zbl 1308.11057
Coates, John; Kim, Minhyong; Liang, Zhibin; Zhao, Chunlai
5
2014
Noncommutative Iwasawa main conjectures over totally real fields. Based on a workshop, Münster, Germany, April 25–30, 2011. Zbl 1253.11002
3
2013
Introduction to the work of M. Kakde on the non-commutative main conjectures for totally real fields. Zbl 1270.11107
Coates, John; Kim, Dohyeong
3
2013
Non-commutative Iwasawa theory for modular forms. Zbl 1291.11089
Coates, John H.; Dokchitser, Tim; Liang, Zhibin; Stein, William; Sujatha, R.
2
2013
On the \(\mathfrak M_H(G)\)-conjecture. Zbl 1278.11099
Coates, John H.; Sujatha, Ramdorai
12
2012
The enigmatic Tate-Shafarevich group. Zbl 1268.11088
Coates, John
8
2012
Non-abelian fundamental groups and Iwasawa theory. Zbl 1237.11001
2
2012
Congruent numbers. Zbl 1298.11052
Coates, John H.
1
2012
Root numbers, Selmer groups, and non-commutative Iwasawa theory. Zbl 1213.11135
Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai
28
2010
Selmer varieties for curves with CM Jacobians. Zbl 1283.11092
Coates, John; Kim, Minhyong
18
2010
Galois cohomology of elliptic curves. 2nd ed. Zbl 1213.11115
Coates, John; Sujatha, Ramdorai
14
2010
The main conjecture. Zbl 1253.11097
Coates, J.; Sujatha, R.
1
2010
The Tate-Shafarevich group for elliptic curves with complex multiplication. II. Zbl 1295.11059
Coates, John H.; Liang, Zhibin; Sujatha, R.
1
2010
The Tate-Shafarevich group for elliptic curves with complex multiplication. Zbl 1239.11069
Coates, John H.; Liang, Zhibin; Sujatha, R.
2
2009
Computations in non-commutative Iwasawa theory (with an appendix by J. Coates and R. Sujatha). Zbl 1206.11083
Dokchitser, R.; Dokchitser, V.
24
2007
Cyclotomic fields and zeta values. Zbl 1100.11002
Coates, John; Sujatha, R.
20
2006
The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication. Zbl 1108.11081
Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai; Venjakob, Otmar
98
2005
Fine Selmer groups of elliptic curves over \(p\)-adic Lie extensions. Zbl 1197.11142
Coates, J.; Sujatha, R.
60
2005
Fine Selmer groups for elliptic curves with complex multiplication. Zbl 1082.11032
Coates, J.; Sujatha, R.
7
2005
Congruent number problem. Zbl 1169.11309
Coates, John H.
3
2005
Modules over Iwasawa algebras. Zbl 1061.11060
Coates, J.; Schneider, P.; Sujatha, R.
31
2003
Links between cyclotomic and \(\text{GL}_2\) Iwasawa theory. Zbl 1142.11366
Coates, John; Schneider, Peter; Sujatha, Ramdorai
23
2003
Iwasawa algebras and arithmetic. Zbl 1077.11077
Coates, John
3
2003
Elliptic curves – the crossroads of theory and computation. Zbl 1133.11311
Coates, John
3
2002
Euler characteristics and elliptic curves. II. Zbl 1046.11079
Coates, John; Howson, Susan
31
2001
On the Euler-Poincaré characteristics of finite dimensional \(p\)-adic Galois representations. Zbl 1143.11021
Coates, John; Sujatha, Ramdorai; Wintenberger, Jean-Pierre
12
2001
Collected papers. Vol. I, II. Edited by Ichiro Satake, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara and Shoichi Nakajima. Zbl 1021.01006
Iwasawa, Kenkichi
1
2001
Galois cohomology of elliptic curves. Zbl 0973.11059
Coates, J.; Sujatha, R.
45
2000
Fragments of the \(\text{GL}_2\) Iwasawa theory of elliptic curves without complex multiplication. Zbl 1029.11016
Coates, John
18
1999
Caractéristique d’Euler- Poincaré des variétés abéliennes. (Euler-Poincaré characteristic of abelian varieties.) Zbl 0967.14029
Coates, John; Sujatha, Ramdorai
9
1999
Elliptic curves, modular forms & Fermat’s last theorem. Proceedings of the conference on elliptic curves and modular forms, Chinese University of Hong Kong, China, December 18–21, 1993. 2nd ed. Zbl 0997.11504
5
1997
Euler characteristics and elliptic curves. Zbl 0924.11045
Coates, John; Howson, Susan
2
1997
Kummer theory for abelian varieties over local fields. Zbl 0858.11032
Coates, J.; Greenberg, R.
74
1996
Elliptic curves, modular forms, & Fermat’s last theorem. Proceedings ot the conference on elliptic curves and modular forms held at the Chinese University of Hong Kong, December 18-21, 1993. Zbl 0824.00025
10
1995
Iwasawa theory of modular elliptic curves of analytic rank at most 1. Zbl 0864.11053
Coates, John; McConnell, Gary
10
1994
Elliptic curves with complex multiplication and Iwasawa theory. Zbl 0752.11024
Coates, John
20
1991
Motivic p-adic L-functions. Zbl 0725.11029
Coates, John
13
1991
L-functions and arithmetic. Proceedings of the London Mathematical Society symposium, held at the University of Durham/UK, from June 30 until July 11, 1989. Zbl 0718.00005
1
1991
On \(p\)-adic \(L\)-functions attached to motives over \(\mathbb Q\). Zbl 0783.11039
Coates, John; Perrin-Riou, Bernadette
28
1989
On \(p\)-adic \(L\)-functions attached to motives over \(\mathbb Q\). II. Zbl 0783.11040
Coates, John
11
1989
On \(p\)-adic \(L\)-functions. Zbl 0706.11064
Coates, John
9
1989
Iwasawa theory for the symmetric square of an elliptic curve. Zbl 0609.14013
Coates, J.; Schmidt, C.-G.
26
1987
The work of Gross and Zagier on Heegner points and the derivatives of \(L\)-series. Zbl 0608.14020
Coates, John
1
1986
Elliptic curves and Iwasawa theory. Zbl 0561.14012
Coates, John
4
1984
Infinite descent on elliptic curves with complex multiplication. Zbl 0541.14026
Coates, John
18
1983
Some remarks on the main conjecture for elliptic curves with complex multipliation. Zbl 0524.14023
Coates, John; Goldstein, Catherine
7
1983
The work of Mazur and Wiles on cyclotomic fields. Zbl 0506.12001
Coates, John
4
1981
Elliptic curves of conductor 11. Zbl 0475.14031
Agrawal, M. K.; Coates, J. H.; Hunt, D. C.; van der Poorten, A. J.
12
1980
On \(p\)-adic \(L\)-functions and elliptic units. Zbl 0442.12007
Coates, J.; Wiles, A.
39
1978
On the conjecture of Birch and Swinnerton-Dyer. Zbl 0359.14009
Coates, J.; Wiles, A.
125
1977
p-adic L-functions and Iwasawa’s theory. Zbl 0393.12027
Coates, John
49
1977
Kummer’s criterion for Hurwitz numbers. Zbl 0369.12009
Coates, J.; Wiles, A.
19
1977
Integrality properties of the values of partial zeta functions. Zbl 0354.12009
Coates, J.; Sinnott, W.
12
1977
Explicit reciprocity laws. Zbl 0358.12001
Coates, J.; Wiles, A.
2
1977
Diophantine approximation on abelian varieties with complex multiplication. Zbl 0342.10018
Coates, John; Lang, Serge
13
1976
Fractional parts of powers of rationals. Zbl 0298.10018
Baker, A.; Coates, J.
8
1975
An analogue of Stickelberger’s theorem for the higher K-groups. Zbl 0282.12006
Coates, J.; Sinnott, W.
27
1974
On p-adic L-functions over real quadratic fields. Zbl 0305.12008
Coates, J.; Sinnott, W.
22
1974
On l-adic zeta functions. Zbl 0279.12005
Coates, J.; Lichtenbaum, S.
45
1973
\(K\)-theory and Iwasawa’s analogue of the Jacobian. Zbl 0284.12006
Coates, John
11
1973
Research problems: Arithmetic questions in \(K\)-theory. Zbl 0278.18007
Coates, J.
3
1973
Linear relations between 2\(\pi\)i and the periods of two elliptic curves. Zbl 0264.10022
Coates, John
2
1973
On Iwasawa’s analogue of the Jacobian for totally real number fields. Zbl 0279.12006
Coates, John
1
1973
On \(K_2\) and some classical conjectures in algebraic number theory. Zbl 0245.12005
Coates, John
44
1972
Verification of Weil’s conjecture on elliptic curves over \(\mathbb Q\) in some special cases. Zbl 0345.14007
Coates, John
1
1972
The transcendence of linear forms in \(\omega_1, \omega_2, \eta_1, \eta_2, 2\pi i\). Zbl 0224.10032
Coates, John
8
1971
Linear forms in the periods of the exponential and elliptic functions. Zbl 0217.04001
Coates, John
6
1971
An application of the Thue-Siegel-Roth theorem to elliptic functions. Zbl 0213.32702
Coates, J.
2
1971
Construction of rational functions on a curve. Zbl 0215.37302
Coates, J.
30
1970
Integer points on curves of genus 1. Zbl 0194.07601
Baker, A.; Coates, J.
22
1970
An effective \(p\)-adic analogue of a theorem of Thue. III: The diophantine equation \(y^2 = x^3 + k\). Zbl 0221.10027
Coates, John
13
1970
An application of the division theory of elliptic functions to diophantine approximation. Zbl 0216.04403
Coates, John
11
1970
An effective \(p\)-adic analogue of a theorem of Thue. II: The greatest prime factor of a binary form. Zbl 0221.10026
Coates, John
11
1970
An effective \(p\)-adic analogue of a theorem of Thue. Zbl 0221.10025
Coates, John
16
1969
Approximation in algebraic function fields of one variable. Zbl 0159.50704
Coates, J.
2
1967
On the algebraic approximation of functions. IV. Zbl 0148.27506
Coates, J.
1
1967
On the algebraic approximation of functions. I-III. Zbl 0147.03304
Coates, J.
24
1966
all top 5

Cited by 660 Authors

26 Lim, Meng Fai
21 Coates, John Henry
19 Lei, Antonio
18 Ramdorai, Sujatha
16 Kundu, Debanjana
16 Ray, Anwesh
12 Delbourgo, Daniel
12 Dokchitser, Vladimir
11 Greenberg, Ralph
10 Rubin, Karl Cooper
9 Gras, Georges
9 Lang, Serge
9 Li, Yongxiong
9 Venjakob, Otmar
8 Balakrishnan, Jennifer S.
8 Dokchitser, Tim
8 Kim, Minhyong
8 Nguyen Quang Do, Thong
8 Nickel, Andreas
8 Panchishkin, Alexei A.
8 Trihan, Fabien
7 Burns, David John
7 Burungale, Ashay A.
7 Kakde, Mahesh
7 Kolster, Manfred
7 Mazur, Barry
7 Movahhedi, Abbas
7 Qin, Hourong
6 Ardakov, Konstantin
6 de Weger, Benjamin M. M.
6 Matar, Ahmed
6 Ray, Jishnu
6 Schneider, Peter
6 Wuthrich, Christian
6 Zhou, Haiyan
5 Bandini, Andrea
5 Dąbrowski, Andrzej Bogdan
5 Dogra, Netan
5 Gillard, Roland
5 Győry, Kálmán
5 Jaulent, Jean-François
5 Kleine, Sören
5 Loeffler, David
5 Murty, Maruti Ram
5 Tian, Ye
5 Witte, Malte
5 Zerbes, Sarah Livia
5 Zhai, Shuai
4 Banaszak, Grzegorz
4 Beckermann, Bernhard
4 Bertrand, Daniel
4 Bouganis, Thanasis
4 Büyükboduk, Kâzim
4 Cassou-Noguès, Pierrette
4 Daoud, Alexandre
4 Hida, Haruzo
4 Hsieh, Ming-Lun
4 Jha, Somnath
4 Kato, Kazuya
4 Kezuka, Yukako
4 Kim, Dohyeong
4 Kobayashi, Shinichi
4 Komatsu, Keiichi
4 Kubert, Daniel Sion
4 Labahn, George
4 Longhi, Ignazio
4 López Lagomasino, Guillermo Tomás
4 Müller, Jan Steffen
4 Ochiai, Tadashi
4 Perrin-Riou, Bernadette
4 Robert, Gilles F.
4 Shekhar, Sudhanshu
4 Sinnott, Warren M.
4 Skinner, Christopher M.
4 Szymaszkiewicz, Lucjan
4 Tilouine, Jacques
4 Tzanakis, Nikos
4 Van Barel, Marc
4 Von Känel, Rafael
4 Waldschmidt, Michel
4 Wei, Feng
3 Ahmed, Suman
3 Bannai, Kenichi
3 Bars Cortina, Francesc
3 Bertolini, Massimo
3 Bullach, Dominik
3 Bultheel, Adhemar François
3 Byeon, Dongho
3 Castella, Francesc
3 Česnavičius, Kęstutis
3 Choi, Junhwa
3 Eischen, Ellen Elizabeth
3 Fukaya, Takako
3 Grant, David R.
3 Greither, Cornelius
3 Harris, Michael Howard
3 Johnston, Henri L. A.
3 Kim, Chan-Ho
3 Li, Jianing
3 Liu, Zheng
...and 560 more Authors
all top 5

Cited in 138 Serials

78 Journal of Number Theory
63 Inventiones Mathematicae
38 Compositio Mathematica
27 International Journal of Number Theory
26 Annales de l’Institut Fourier
26 Journal de Théorie des Nombres de Bordeaux
22 Mathematical Proceedings of the Cambridge Philosophical Society
22 Mathematische Annalen
21 Transactions of the American Mathematical Society
17 Mathematics of Computation
14 Acta Arithmetica
14 Duke Mathematical Journal
14 Journal of Algebra
13 Mathematische Zeitschrift
12 Proceedings of the American Mathematical Society
11 Journal für die Reine und Angewandte Mathematik
11 Journal of Algebraic Geometry
11 Documenta Mathematica
11 The Ramanujan Journal
11 Algebra & Number Theory
10 Nagoya Mathematical Journal
10 Annales Mathématiques du Québec
9 Journal of Pure and Applied Algebra
9 Proceedings of the Japan Academy. Series A
8 Israel Journal of Mathematics
8 Advances in Mathematics
8 Journal of the London Mathematical Society. Second Series
8 Manuscripta Mathematica
7 Proceedings of the London Mathematical Society. Third Series
7 Journal of the Ramanujan Mathematical Society
7 Annals of Mathematics. Second Series
7 Kyoto Journal of Mathematics
6 Bulletin of the Australian Mathematical Society
6 Journal of Computational and Applied Mathematics
6 Journal of Soviet Mathematics
6 \(K\)-Theory
6 Acta Mathematica Sinica. English Series
5 Communications in Algebra
5 Archiv der Mathematik
5 Canadian Journal of Mathematics
5 Tôhoku Mathematical Journal. Second Series
5 Tokyo Journal of Mathematics
5 Journal of the American Mathematical Society
5 Bulletin of the American Mathematical Society. New Series
5 Science China. Mathematics
5 Research in the Mathematical Sciences
5 Research in Number Theory
4 Rocky Mountain Journal of Mathematics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Bulletin de la Société Mathématique de France
4 Canadian Mathematical Bulletin
4 Rendiconti del Seminario Matematico della Università di Padova
4 Journal of Symbolic Computation
4 Forum Mathematicum
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of the Institute of Mathematics of Jussieu
3 Mathematical Notes
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Glasgow Mathematical Journal
3 Publications Mathématiques
3 Memoirs of the American Mathematical Society
3 Pacific Journal of Mathematics
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Acta Mathematica Hungarica
3 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
3 Numerical Algorithms
3 Mémoires de la Société Mathématique de France. Nouvelle Série
3 Indagationes Mathematicae. New Series
3 Journal of Mathematical Sciences (New York)
3 Selecta Mathematica. New Series
3 Journal of the Australian Mathematical Society
3 Journal of \(K\)-Theory
3 Forum of Mathematics, Sigma
2 Lithuanian Mathematical Journal
2 Periodica Mathematica Hungarica
2 Bulletin of the London Mathematical Society
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of the Indian Institute of Science
2 Kodai Mathematical Journal
2 Osaka Journal of Mathematics
2 Proceedings of the National Academy of Sciences of the United States of America
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Experimental Mathematics
2 Annales Mathématiques Blaise Pascal
2 Journal of the European Mathematical Society (JEMS)
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Milan Journal of Mathematics
2 Bulletin of the American Mathematical Society
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Acta Mathematica
1 Acta Mathematica Vietnamica
1 American Journal of Mathematics
1 Colloquium Mathematicum
1 Journal of Approximation Theory
1 Journal of Combinatorial Theory. Series A
1 Mathematische Nachrichten
1 Mathematika
...and 38 more Serials

Citations by Year

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