## Coates, John H.

Compute Distance To:
 Author ID: coates.john-h Published as: Coates, John; Coates, J.; Coates, John H.; Coates, J. H. more...less Homepage: https://www.emma.cam.ac.uk/contact/fellows/?id=83 External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 96 Publications since 1966, including 3 Books 11 Contributions as Editor · 4 Further Contributions Biographic References: 2 Publications Co-Authors: 59 Co-Authors with 59 Joint Publications 1,223 Co-Co-Authors
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### Co-Authors

 52 single-authored 20 Ramdorai, Sujatha 4 Liang, Zhibin 4 Schneider, Peter 4 Wiles, Andrew John 3 Kato, Kazuya 3 Kim, Minhyong 3 Li, Yongxiong 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 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, Steve 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
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### 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 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
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### Fields

 99 Number theory (11-XX) 28 Algebraic geometry (14-XX) 13 History and biography (01-XX) 9 General and overarching topics; collections (00-XX) 4 Category theory; homological algebra (18-XX) 3 Associative rings and algebras (16-XX) 2 $$K$$-theory (19-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX)

### Citations contained in zbMATH Open

80 Publications have been cited 1,077 times in 685 Documents Cited by Year
On the conjecture of Birch and Swinnerton-Dyer. Zbl 0359.14009
Coates, J.; Wiles, A.
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
2005
Kummer theory for abelian varieties over local fields. Zbl 0858.11032
Coates, J.; Greenberg, R.
1996
On l-adic zeta functions. Zbl 0279.12005
Coates, J.; Lichtenbaum, S.
1973
On $$K_2$$ and some classical conjectures in algebraic number theory. Zbl 0245.12005
Coates, John
1972
Fine Selmer groups of elliptic curves over $$p$$-adic Lie extensions. Zbl 1197.11142
Coates, J.; Sujatha, R.
2005
On $$p$$-adic $$L$$-functions and elliptic units. Zbl 0442.12007
Coates, J.; Wiles, A.
1978
Galois cohomology of elliptic curves. Zbl 0973.11059
Coates, J.; Sujatha, R.
2000
p-adic L-functions and Iwasawa’s theory. Zbl 0393.12027
Coates, John
1977
Euler characteristics and elliptic curves. II. Zbl 1046.11079
Coates, John; Howson, Susan
2001
Modules over Iwasawa algebras. Zbl 1061.11060
Coates, J.; Schneider, P.; Sujatha, R.
2003
Construction of rational functions on a curve. Zbl 0215.37302
Coates, J.
1970
An analogue of Stickelberger’s theorem for the higher K-groups. Zbl 0282.12006
Coates, J.; Sinnott, W.
1974
Iwasawa theory for the symmetric square of an elliptic curve. Zbl 0609.14013
Coates, J.; Schmidt, C.-G.
1987
On $$p$$-adic $$L$$-functions attached to motives over $$\mathbb Q$$. Zbl 0783.11039
1989
Links between cyclotomic and $$\text{GL}_2$$ Iwasawa theory. Zbl 1142.11366
Coates, John; Schneider, Peter; Sujatha, Ramdorai
2003
Computations in non-commutative Iwasawa theory (with an appendix by J. Coates and R. Sujatha). Zbl 1206.11083
Dokchitser, R.; Dokchitser, V.
2007
Root numbers, Selmer groups, and non-commutative Iwasawa theory. Zbl 1213.11135
Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai
2010
On the algebraic approximation of functions. I-III. Zbl 0147.03304
Coates, J.
1966
Coates, J.; Sinnott, W.
1974
Integer points on curves of genus 1. Zbl 0194.07601
Baker, A.; Coates, J.
1970
Quadratic twists of elliptic curves. Zbl 1311.11046
Coates, John; Li, Yongxiong; Tian, Ye; Zhai, Shuai
2015
Kummer’s criterion for Hurwitz numbers. Zbl 0369.12009
Coates, J.; Wiles, A.
1977
An effective $$p$$-adic analogue of a theorem of Thue. Zbl 0221.10025
Coates, John
1969
Elliptic curves with complex multiplication and Iwasawa theory. Zbl 0752.11024
Coates, John
1991
Selmer varieties for curves with CM Jacobians. Zbl 1283.11092
Coates, John; Kim, Minhyong
2010
Integrality properties of the values of partial zeta functions. Zbl 0354.12009
Coates, J.; Sinnott, W.
1977
Diophantine approximation on abelian varieties with complex multiplication. Zbl 0342.10018
Coates, John; Lang, Serge
1976
Infinite descent on elliptic curves with complex multiplication. Zbl 0541.14026
Coates, John
1983
Fragments of the $$\text{GL}_2$$ Iwasawa theory of elliptic curves without complex multiplication. Zbl 1029.11016
Coates, John
1999
Elliptic curves of conductor 11. Zbl 0475.14031
Agrawal, M. K.; Coates, J. H.; Hunt, D. C.; van der Poorten, A. J.
1980
An effective $$p$$-adic analogue of a theorem of Thue. II: The greatest prime factor of a binary form. Zbl 0221.10026
Coates, John
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
1970
Cyclotomic fields and zeta values. Zbl 1100.11002
Coates, John; Sujatha, R.
2006
An application of the division theory of elliptic functions to diophantine approximation. Zbl 0216.04403
Coates, John
1970
$$K$$-theory and Iwasawa’s analogue of the Jacobian. Zbl 0284.12006
Coates, John
1973
On the Euler-Poincaré characteristics of finite dimensional $$p$$-adic Galois representations. Zbl 1143.11021
Coates, John; Sujatha, Ramdorai; Wintenberger, Jean-Pierre
2001
Galois cohomology of elliptic curves. 2nd ed. Zbl 1213.11115
Coates, John; Sujatha, Ramdorai
2010
Iwasawa theory of modular elliptic curves of analytic rank at most 1. Zbl 0864.11053
Coates, John; McConnell, Gary
1994
Fractional parts of powers of rationals. Zbl 0298.10018
Baker, A.; Coates, J.
1975
On the $$\mathfrak M_H(G)$$-conjecture. Zbl 1278.11099
Coates, John H.; Sujatha, Ramdorai
2012
The transcendence of linear forms in $$\omega_1, \omega_2, \eta_1, \eta_2, 2\pi i$$. Zbl 0224.10032
Coates, John
1971
Caractéristique d’Euler- Poincaré des variétés abéliennes. (Euler-Poincaré characteristic of abelian varieties.) Zbl 0967.14029
Coates, John; Sujatha, Ramdorai
1999
On $$p$$-adic $$L$$-functions. Zbl 0706.11064
Coates, John
1989
The enigmatic Tate-Shafarevich group. Zbl 1268.11088
Coates, John
2012
Linear forms in the periods of the exponential and elliptic functions. Zbl 0217.04001
Coates, John
1971
Fine Selmer groups for elliptic curves with complex multiplication. Zbl 1082.11032
Coates, J.; Sujatha, R.
2005
On $$p$$-adic $$L$$-functions attached to motives over $$\mathbb Q$$. II. Zbl 0783.11040
Coates, John
1989
Coates, John
1991
Some remarks on the main conjecture for elliptic curves with complex multipliation. Zbl 0524.14023
Coates, John; Goldstein, Catherine
1983
Elliptic curves and Iwasawa theory. Zbl 0561.14012
Coates, John
1984
The work of Mazur and Wiles on cyclotomic fields. Zbl 0506.12001
Coates, John
1981
Research problems: Arithmetic questions in $$K$$-theory. Zbl 0278.18007
Coates, J.
1973
Values of the Riemann zeta function at the odd positive integers and Iwasawa theory. Zbl 1383.11097
Coates, John
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
2014
Non-vanishing theorems for central $$L$$-values of some elliptic curves with complex multiplication. Zbl 1487.11059
Coates, John; Li, Yongxiong
2020
Explicit reciprocity laws. Zbl 0358.12001
Coates, J.; Wiles, A.
1977
Elliptic curves – the crossroads of theory and computation. Zbl 1133.11311
Coates, John
2002
Approximation in algebraic function fields of one variable. Zbl 0159.50704
Coates, J.
1967
Noncommutative Iwasawa main conjectures over totally real fields. Based on a workshop, Münster, Germany, April 25–30, 2011. Zbl 1253.11002
2013
Iwasawa algebras and arithmetic. Zbl 1077.11077
Coates, John
2003
The Tate-Shafarevich group for elliptic curves with complex multiplication. Zbl 1239.11069
Coates, John H.; Liang, Zhibin; Sujatha, R.
2009
Iwasawa theory of quadratic twists of $$X_{0}(49)$$. Zbl 1434.11115
Choi, Junhwa; Coates, John
2018
Collected papers. Vol. I, II. Edited by Ichiro Satake, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara and Shoichi Nakajima. Zbl 1021.01006
Iwasawa, Kenkichi
2001
Euler characteristics and elliptic curves. Zbl 0924.11045
Coates, John; Howson, Susan
1997
An application of the Thue-Siegel-Roth theorem to elliptic functions. Zbl 0213.32702
Coates, J.
1971
Linear relations between 2$$\pi$$i and the periods of two elliptic curves. Zbl 0264.10022
Coates, John
1973
On Iwasawa’s analogue of the Jacobian for totally real number fields. Zbl 0279.12006
Coates, John
1973
On the algebraic approximation of functions. IV. Zbl 0148.27506
Coates, J.
1967
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
1991
The main conjecture. Zbl 1253.11097
Coates, J.; Sujatha, R.
2010
Introduction to the work of M. Kakde on the non-commutative main conjectures for totally real fields. Zbl 1270.11107
Coates, John; Kim, Dohyeong
2013
Congruent numbers. Zbl 1298.11052
Coates, John H.
2012
Verification of Weil’s conjecture on elliptic curves over $$\mathbb Q$$ in some special cases. Zbl 0345.14007
Coates, John
1972
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
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
2015
Non-commutative Iwasawa theory for modular forms. Zbl 1291.11089
Coates, John H.; Dokchitser, Tim; Liang, Zhibin; Stein, William; Sujatha, R.
2013
The Tate-Shafarevich group for elliptic curves with complex multiplication. II. Zbl 1295.11059
Coates, John H.; Liang, Zhibin; Sujatha, R.
2010
The conjecture of Birch and Swinnerton-Dyer. Zbl 1403.11053
Coates, John
2016
Congruent number problem. Zbl 1169.11309
Coates, John H.
2005
Non-vanishing theorems for central $$L$$-values of some elliptic curves with complex multiplication. Zbl 1487.11059
Coates, John; Li, Yongxiong
2020
Iwasawa theory of quadratic twists of $$X_{0}(49)$$. Zbl 1434.11115
Choi, Junhwa; Coates, John
2018
The conjecture of Birch and Swinnerton-Dyer. Zbl 1403.11053
Coates, John
2016
Quadratic twists of elliptic curves. Zbl 1311.11046
Coates, John; Li, Yongxiong; Tian, Ye; Zhai, Shuai
2015
Values of the Riemann zeta function at the odd positive integers and Iwasawa theory. Zbl 1383.11097
Coates, John
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
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
2014
Noncommutative Iwasawa main conjectures over totally real fields. Based on a workshop, Münster, Germany, April 25–30, 2011. Zbl 1253.11002
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
2013
Non-commutative Iwasawa theory for modular forms. Zbl 1291.11089
Coates, John H.; Dokchitser, Tim; Liang, Zhibin; Stein, William; Sujatha, R.
2013
On the $$\mathfrak M_H(G)$$-conjecture. Zbl 1278.11099
Coates, John H.; Sujatha, Ramdorai
2012
The enigmatic Tate-Shafarevich group. Zbl 1268.11088
Coates, John
2012
Congruent numbers. Zbl 1298.11052
Coates, John H.
2012
Root numbers, Selmer groups, and non-commutative Iwasawa theory. Zbl 1213.11135
Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai
2010
Selmer varieties for curves with CM Jacobians. Zbl 1283.11092
Coates, John; Kim, Minhyong
2010
Galois cohomology of elliptic curves. 2nd ed. Zbl 1213.11115
Coates, John; Sujatha, Ramdorai
2010
The main conjecture. Zbl 1253.11097
Coates, J.; Sujatha, R.
2010
The Tate-Shafarevich group for elliptic curves with complex multiplication. II. Zbl 1295.11059
Coates, John H.; Liang, Zhibin; Sujatha, R.
2010
The Tate-Shafarevich group for elliptic curves with complex multiplication. Zbl 1239.11069
Coates, John H.; Liang, Zhibin; Sujatha, R.
2009
Computations in non-commutative Iwasawa theory (with an appendix by J. Coates and R. Sujatha). Zbl 1206.11083
Dokchitser, R.; Dokchitser, V.
2007
Cyclotomic fields and zeta values. Zbl 1100.11002
Coates, John; Sujatha, R.
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
2005
Fine Selmer groups of elliptic curves over $$p$$-adic Lie extensions. Zbl 1197.11142
Coates, J.; Sujatha, R.
2005
Fine Selmer groups for elliptic curves with complex multiplication. Zbl 1082.11032
Coates, J.; Sujatha, R.
2005
Congruent number problem. Zbl 1169.11309
Coates, John H.
2005
Modules over Iwasawa algebras. Zbl 1061.11060
Coates, J.; Schneider, P.; Sujatha, R.
2003
Links between cyclotomic and $$\text{GL}_2$$ Iwasawa theory. Zbl 1142.11366
Coates, John; Schneider, Peter; Sujatha, Ramdorai
2003
Iwasawa algebras and arithmetic. Zbl 1077.11077
Coates, John
2003
Elliptic curves – the crossroads of theory and computation. Zbl 1133.11311
Coates, John
2002
Euler characteristics and elliptic curves. II. Zbl 1046.11079
Coates, John; Howson, Susan
2001
On the Euler-Poincaré characteristics of finite dimensional $$p$$-adic Galois representations. Zbl 1143.11021
Coates, John; Sujatha, Ramdorai; Wintenberger, Jean-Pierre
2001
Collected papers. Vol. I, II. Edited by Ichiro Satake, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara and Shoichi Nakajima. Zbl 1021.01006
Iwasawa, Kenkichi
2001
Galois cohomology of elliptic curves. Zbl 0973.11059
Coates, J.; Sujatha, R.
2000
Fragments of the $$\text{GL}_2$$ Iwasawa theory of elliptic curves without complex multiplication. Zbl 1029.11016
Coates, John
1999
Caractéristique d’Euler- Poincaré des variétés abéliennes. (Euler-Poincaré characteristic of abelian varieties.) Zbl 0967.14029
Coates, John; Sujatha, Ramdorai
1999
Euler characteristics and elliptic curves. Zbl 0924.11045
Coates, John; Howson, Susan
1997
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
1997
Kummer theory for abelian varieties over local fields. Zbl 0858.11032
Coates, J.; Greenberg, R.
1996
Iwasawa theory of modular elliptic curves of analytic rank at most 1. Zbl 0864.11053
Coates, John; McConnell, Gary
1994
Elliptic curves with complex multiplication and Iwasawa theory. Zbl 0752.11024
Coates, John
1991
Coates, John
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
1991
On $$p$$-adic $$L$$-functions attached to motives over $$\mathbb Q$$. Zbl 0783.11039
1989
On $$p$$-adic $$L$$-functions. Zbl 0706.11064
Coates, John
1989
On $$p$$-adic $$L$$-functions attached to motives over $$\mathbb Q$$. II. Zbl 0783.11040
Coates, John
1989
Iwasawa theory for the symmetric square of an elliptic curve. Zbl 0609.14013
Coates, J.; Schmidt, C.-G.
1987
Elliptic curves and Iwasawa theory. Zbl 0561.14012
Coates, John
1984
Infinite descent on elliptic curves with complex multiplication. Zbl 0541.14026
Coates, John
1983
Some remarks on the main conjecture for elliptic curves with complex multipliation. Zbl 0524.14023
Coates, John; Goldstein, Catherine
1983
The work of Mazur and Wiles on cyclotomic fields. Zbl 0506.12001
Coates, John
1981
Elliptic curves of conductor 11. Zbl 0475.14031
Agrawal, M. K.; Coates, J. H.; Hunt, D. C.; van der Poorten, A. J.
1980
On $$p$$-adic $$L$$-functions and elliptic units. Zbl 0442.12007
Coates, J.; Wiles, A.
1978
On the conjecture of Birch and Swinnerton-Dyer. Zbl 0359.14009
Coates, J.; Wiles, A.
1977
p-adic L-functions and Iwasawa’s theory. Zbl 0393.12027
Coates, John
1977
Kummer’s criterion for Hurwitz numbers. Zbl 0369.12009
Coates, J.; Wiles, A.
1977
Integrality properties of the values of partial zeta functions. Zbl 0354.12009
Coates, J.; Sinnott, W.
1977
Explicit reciprocity laws. Zbl 0358.12001
Coates, J.; Wiles, A.
1977
Diophantine approximation on abelian varieties with complex multiplication. Zbl 0342.10018
Coates, John; Lang, Serge
1976
Fractional parts of powers of rationals. Zbl 0298.10018
Baker, A.; Coates, J.
1975
An analogue of Stickelberger’s theorem for the higher K-groups. Zbl 0282.12006
Coates, J.; Sinnott, W.
1974
Coates, J.; Sinnott, W.
1974
On l-adic zeta functions. Zbl 0279.12005
Coates, J.; Lichtenbaum, S.
1973
$$K$$-theory and Iwasawa’s analogue of the Jacobian. Zbl 0284.12006
Coates, John
1973
Research problems: Arithmetic questions in $$K$$-theory. Zbl 0278.18007
Coates, J.
1973
Linear relations between 2$$\pi$$i and the periods of two elliptic curves. Zbl 0264.10022
Coates, John
1973
On Iwasawa’s analogue of the Jacobian for totally real number fields. Zbl 0279.12006
Coates, John
1973
On $$K_2$$ and some classical conjectures in algebraic number theory. Zbl 0245.12005
Coates, John
1972
Verification of Weil’s conjecture on elliptic curves over $$\mathbb Q$$ in some special cases. Zbl 0345.14007
Coates, John
1972
The transcendence of linear forms in $$\omega_1, \omega_2, \eta_1, \eta_2, 2\pi i$$. Zbl 0224.10032
Coates, John
1971
Linear forms in the periods of the exponential and elliptic functions. Zbl 0217.04001
Coates, John
1971
An application of the Thue-Siegel-Roth theorem to elliptic functions. Zbl 0213.32702
Coates, J.
1971
Construction of rational functions on a curve. Zbl 0215.37302
Coates, J.
1970
Integer points on curves of genus 1. Zbl 0194.07601
Baker, A.; Coates, J.
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
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
1970
An application of the division theory of elliptic functions to diophantine approximation. Zbl 0216.04403
Coates, John
1970
An effective $$p$$-adic analogue of a theorem of Thue. Zbl 0221.10025
Coates, John
1969
Approximation in algebraic function fields of one variable. Zbl 0159.50704
Coates, J.
1967
On the algebraic approximation of functions. IV. Zbl 0148.27506
Coates, J.
1967
On the algebraic approximation of functions. I-III. Zbl 0147.03304
Coates, J.
1966
all top 5

### Cited by 532 Authors

 23 Lim, Meng Fai 19 Coates, John H. 15 Lei, Antonio 11 Greenberg, Ralph 10 Delbourgo, Daniel 10 Ramdorai, Sujatha 9 Lang, Serge 9 Rubin, Karl Cooper 8 Balakrishnan, Jennifer S. 8 Dokchitser, Vladimir 8 Kundu, Debanjana 8 Nguyen Quang Do, Thong 8 Panchishkin, Alexei A. 7 Dokchitser, Tim 7 Kim, Minhyong 7 Kolster, Manfred 7 Nickel, Andreas 7 Qin, Hourong 7 Trihan, Fabien 7 Venjakob, Otmar 6 Ardakov, Konstantin 6 de Weger, Benjamin M. M. 6 Li, Yongxiong 6 Mazur, Barry 6 Movahhedi, Abbas 5 Bandini, Andrea 5 Dąbrowski, Andrzej Bogdan 5 Gillard, Roland 5 Győry, Kálmán 5 Kakde, Mahesh 5 Matar, Ahmed 5 Murty, Maruti Ram 5 Ray, Anwesh 5 Schneider, Peter 5 Witte, Malte 5 Wuthrich, Christian 5 Zerbes, Sarah Livia 5 Zhou, Haiyan 4 Banaszak, Grzegorz 4 Beckermann, Bernhard 4 Bertrand, Daniel 4 Bouganis, Thanasis 4 Burns, David John 4 Büyükboduk, Kâzim 4 Cassou-Noguès, Pierrette 4 Dogra, Netan 4 Gras, Georges 4 Hida, Haruzo 4 Jaulent, Jean-François 4 Kato, Kazuya 4 Kubert, Daniel Sion 4 Labahn, George 4 López Lagomasino, Guillermo Tomás 4 Müller, Jan Steffen 4 Ochiai, Tadashi 4 Perrin-Riou, Bernadette 4 Robert, Gilles F. 4 Sinnott, Warren M. 4 Szymaszkiewicz, Lucjan 4 Tilouine, Jacques 4 Tzanakis, Nikos 4 Van Barel, Marc 4 Wei, Feng 4 Zhai, Shuai 3 Ahmed, Suman 3 Bars Cortina, Francesc 3 Bertolini, Massimo 3 Bultheel, Adhemar François 3 Byeon, Dongho 3 Choi, Junhwa 3 Eischen, Ellen Elizabeth 3 Fukaya, Takako 3 Grant, David R. 3 Greither, Cornelius 3 Harris, Michael Howard 3 Hsieh, Ming-Lun 3 Jha, Somnath 3 Kim, Dohyeong 3 Komatsu, Keiichi 3 Loeffler, David 3 Longhi, Ignazio 3 Palvannan, Bharathwaj 3 Popescu, Cristian D. 3 Ray, Jishnu 3 Sharifi, Romyar T. 3 Stroeker, Roelof J. 3 Taylor, Martin J. 3 Tian, Ye 3 Tijdeman, Robert 3 Top, Jaap 3 Valentino, Maria 3 Vauclair, David 3 Wadsley, Simon J. 3 Waldschmidt, Michel 3 Walsh, Peter Gareth 3 Wiles, Andrew John 3 Zábrádi, Gergely 2 Agboola, Adebisi 2 Aribam, Chandrakant S. 2 Backhausz, Tibor ...and 432 more Authors
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### Cited in 119 Serials

 68 Journal of Number Theory 62 Inventiones Mathematicae 37 Compositio Mathematica 24 Annales de l’Institut Fourier 22 Journal de Théorie des Nombres de Bordeaux 21 International Journal of Number Theory 20 Mathematical Proceedings of the Cambridge Philosophical Society 19 Mathematische Annalen 16 Mathematics of Computation 14 Duke Mathematical Journal 13 Journal of Algebra 11 Proceedings of the American Mathematical Society 11 Transactions of the American Mathematical Society 11 Journal of Algebraic Geometry 10 Acta Arithmetica 10 Mathematische Zeitschrift 9 Journal für die Reine und Angewandte Mathematik 9 Nagoya Mathematical Journal 9 Proceedings of the Japan Academy. Series A 9 Documenta Mathematica 8 Journal of Pure and Applied Algebra 7 Israel Journal of Mathematics 7 Advances in Mathematics 7 Manuscripta Mathematica 7 Kyoto Journal of Mathematics 6 Journal of Computational and Applied Mathematics 6 Journal of Soviet Mathematics 6 $$K$$-Theory 6 Journal of the Ramanujan Mathematical Society 6 The Ramanujan Journal 6 Annals of Mathematics. Second Series 6 Acta Mathematica Sinica. English Series 6 Annales Mathématiques du Québec 5 Bulletin of the Australian Mathematical Society 5 Communications in Algebra 5 Archiv der Mathematik 5 Bulletin of the American Mathematical Society. New Series 5 Mémoires de la Société Mathématique de France. Nouvelle Série 4 Rocky Mountain Journal of Mathematics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Tôhoku Mathematical Journal. Second Series 4 Tokyo Journal of Mathematics 4 Journal of Symbolic Computation 4 Forum Mathematicum 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mathematical Notes 3 Bulletin de la Société Mathématique de France 3 Canadian Mathematical Bulletin 3 Publications Mathématiques 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Rendiconti del Seminario Matematico della Università di Padova 3 Acta Mathematica Hungarica 3 Journal of the American Mathematical Society 3 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 3 Numerical Algorithms 3 Indagationes Mathematicae. New Series 3 Selecta Mathematica. New Series 3 Journal of $$K$$-Theory 3 Science China. Mathematics 3 Forum of Mathematics, Sigma 2 Lithuanian Mathematical Journal 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Functiones et Approximatio. Commentarii Mathematici 2 Glasgow Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Kodai Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 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 Journal of Mathematical Sciences (New York) 2 Annales Mathématiques Blaise Pascal 2 Journal of the Australian Mathematical Society 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Milan Journal of Mathematics 2 Bulletin of the American Mathematical Society 2 Algebra & Number Theory 2 Research in the Mathematical Sciences 2 Research in Number Theory 1 International Journal of Modern Physics A 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Periodica Mathematica Hungarica 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Computing 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Advances in Applied Mathematics 1 Constructive Approximation 1 Revista Matemática Iberoamericana ...and 19 more Serials
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### Cited in 32 Fields

 627 Number theory (11-XX) 176 Algebraic geometry (14-XX) 40 $$K$$-theory (19-XX) 25 Associative rings and algebras (16-XX) 23 Field theory and polynomials (12-XX) 19 Approximations and expansions (41-XX) 15 Group theory and generalizations (20-XX) 12 Topological groups, Lie groups (22-XX) 10 Special functions (33-XX) 9 Numerical analysis (65-XX) 8 Commutative algebra (13-XX) 8 Functions of a complex variable (30-XX) 7 Computer science (68-XX) 6 Category theory; homological algebra (18-XX) 5 Ordinary differential equations (34-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 History and biography (01-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

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