John Henry Coates - Publications

Affiliations: 
University of Cambridge, Cambridge, England, United Kingdom 

25 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Coates J, Li Y. Non‐vanishing theorems for central L‐values of some elliptic curves with complex multiplication Proceedings of the London Mathematical Society. 121: 1531-1578. DOI: 10.1112/Plms.12379  0.31
2018 Choi J, Coates J. Iwasawa theory of quadratic twists of X 0 (49) Acta Mathematica Sinica. 34: 19-28. DOI: 10.1007/S10114-017-6414-X  0.437
2015 Coates J, Li Y, Tian Y, Zhai S. Quadratic twists of elliptic curves Proceedings of the London Mathematical Society. 110: 357-394. DOI: 10.1112/Plms/Pdu059  0.303
2013 Coates J, Dokchitser T, Liang Z, Stein W, Sujatha R. Non-commutative iwasawa theory for modular forms Proceedings of the London Mathematical Society. 107: 481-516. DOI: 10.1112/Plms/Pds061  0.425
2012 Coates JH. Congruent numbers. Proceedings of the National Academy of Sciences of the United States of America. 109: 21182-3. PMID 23248279 DOI: 10.1073/Pnas.1219394110  0.341
2010 Coates J, Kim M. Selmer varieties for curves with CM Jacobians Kyoto Journal of Mathematics. 50: 827-852. DOI: 10.1215/0023608X-2010-015  0.363
2010 Coates J, Fukaya T, Kato K, Sujatha R. Root numbers, Selmer groups, and non-commutative Iwasawa theory Journal of Algebraic Geometry. 19: 19-97. DOI: 10.1090/S1056-3911-09-00504-9  0.375
2010 Coates J, Liang Z, Sujatha R. The Tate-Shafarevich Group for Elliptic Curves with Complex Multiplication II Milan Journal of Mathematics. 78: 395-416. DOI: 10.1007/S00032-010-0127-2  0.364
2009 Coates J, Liang Z, Sujatha R. The Tate–Shafarevich group for elliptic curves with complex multiplication Journal of Algebra. 322: 657-674. DOI: 10.1016/J.Jalgebra.2009.04.039  0.359
2008 Coates J. Euler's work on Zeta and L -functions and their special values Bshm Bulletin: Journal of the British Society For the History of Mathematics. 23: 37-41. DOI: 10.1080/17498430701790422  0.361
2007 Dokchitser T, Dokchitser V, Coates J, Sujatha R. Computations in non-commutative Iwasawa theory Proceedings of the London Mathematical Society. 94: 211-272. DOI: 10.1112/Plms/Pdl014  0.377
2005 Coates J, Fukaya T, Kato K, Sujatha R, Venjakob O. The GL2 Main Conjecture for Elliptic Curves without Complex Multiplication Publications MathéMatiques De L'IhéS. 101: 163-208. DOI: 10.1007/S10240-004-0029-3  0.381
2005 Coates J, Sujatha R. Fine Selmer groups of elliptic curves over p-adic Lie extensions Mathematische Annalen. 331: 809-839. DOI: 10.1007/S00208-004-0609-Z  0.317
2003 Coates JH, Schneider P, Sujatha R. Modules Over Iwasawa Algebras Journal of the Institute of Mathematics of Jussieu. 2: 73-108. DOI: 10.1017/S1474748003000045  0.379
1999 Coates J, Sujatha R. Euler-Poincaré characteristics of abelian varieties Comptes Rendus De L Academie Des Sciences Serie I-Mathematique. 329: 309-313. DOI: 10.1016/S0764-4442(00)88572-9  0.325
1997 Coates J, Howson S. Euler characteristics and elliptic curves Proceedings of the National Academy of Sciences of the United States of America. 94: 11115-11117. PMID 11607752 DOI: 10.1073/Pnas.94.21.11115  0.395
1989 Coates J. On p-adic L-functions attached to motives over ℚ II Boletim Da Sociedade Brasileira De Matematica. 20: 101-112. DOI: 10.1007/Bf02585471  0.304
1988 Coates J. LOCAL CLASS FIELD THEORY (Oxford Mathematical Monographs) Bulletin of the London Mathematical Society. 20: 79-80. DOI: 10.1112/Blms/20.1.79  0.315
1986 Coates J. ARITHMETIC MODULI OF ELLIPTIC CURVES (Annals of Mathematics Studies 108) Bulletin of the London Mathematical Society. 18: 215-216. DOI: 10.1112/Blms/18.2.215  0.311
1978 Coates J, Wiles A. On p-adic l-functions and elliptic units Journal of the Australian Mathematical Society. 26: 1-25. DOI: 10.1017/S1446788700011459  0.595
1977 Coates J, Sinnott W. Integrality properties of the values of partial zeta functions Proceedings of the London Mathematical Society. 365-384. DOI: 10.1112/Plms/S3-34.2.365  0.65
1977 Coates J, Wiles A. On the conjecture of Birch and Swinnerton-Dyer Inventiones Mathematicae. 39: 223-251. DOI: 10.1007/978-3-319-32162-2_4  0.578
1974 Coates J, Sinnott W. An analogue of Stickelberger's theorem for the higher K-groups Inventiones Mathematicae. 24: 149-161. DOI: 10.1007/Bf01404303  0.668
1974 Coates J, Sinnott W. On p-adic L-functions over real quadratic fields Inventiones Mathematicae. 25: 253-279. DOI: 10.1007/Bf01389730  0.688
1972 Coates J. On K 2 and Some Classical Conjectures in Algebraic Number Theory Annals of Mathematics. 95: 99. DOI: 10.2307/1970857  0.475
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