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Greenberg, Ralph

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Author ID: greenberg.ralph Recent zbMATH articles by "Greenberg, Ralph"
Published as: Greenberg, R.; Greenberg, Ralph
Homepage: http://www.math.washington.edu/~greenber/personal.html
External Links: MGP · Wikidata · GND
Documents Indexed: 44 Publications since 1973, including 2 Books

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 950 times in 620 Documents Cited by Year
On the Iwasawa invariants of totally real number fields. Zbl 0334.12013
Greenberg, Ralph
134
1976
\(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms. Zbl 0778.11034
Greenberg, Ralph; Stevens, Glenn
82
1993
Iwasawa theory for \(p\)-adic representations. Zbl 0739.11045
Greenberg, Ralph
69
1989
On the structure of certain Galois groups. Zbl 0403.12004
Greenberg, Ralph
60
1978
Iwasawa theory for elliptic curves. Zbl 0946.11027
Greenberg, Ralph
54
1999
Kummer theory for abelian varieties over local fields. Zbl 0858.11032
Coates, J.; Greenberg, R.
51
1996
On the Iwasawa invariants of elliptic curves. Zbl 1032.11046
Greenberg, Ralph; Vatsal, Vinayak
43
2000
On the behavior of \(p\)-adic \(L\)-functions at \(s=0\). Zbl 0441.12003
Ferrero, Bruce; Greenberg, Ralph
43
1978
On p-adic L-functions and cyclotomic fields. II. Zbl 0373.12007
Greenberg, Ralph
35
1977
Iwasawa theory – past and present. Zbl 0998.11054
Greenberg, Ralph
34
2001
On the Birch and Swinnerton-Dyer conjecture. Zbl 0546.14015
Greenberg, Ralph
33
1983
The Iwasawa invariants of \(\Gamma\)-extensions of a fixed number field. Zbl 0268.12005
Greenberg, Ralph
33
1973
Iwasawa theory and \(p\)-adic deformations of motives. Zbl 0819.11046
Greenberg, Ralph
28
1994
On a certain \(l\)-adic representation. Zbl 0268.12004
Greenberg, Ralph
26
1973
A note on \(K_2\) and the theory of \(\mathbb{Z}_p\)-extensions. Zbl 0408.12012
Greenberg, Ralph
22
1978
Introduction to Iwasawa theory for elliptic curves. Zbl 1002.11048
Greenberg, Ralph
21
2001
Galois theory for the Selmer group of an abelian variety. Zbl 1158.11319
Greenberg, Ralph
19
2003
Trivial zeros of \(p\)-adic \(L\)-functions. Zbl 0838.11070
Greenberg, Ralph
17
1994
On the Jacobian variety of some algebraic curves. Zbl 0475.14026
Greenberg, Ralph
17
1981
On \(p\)-adic Artin \(L\)-functions. Zbl 0513.12012
Greenberg, Ralph
14
1983
Galois representations with open image. Zbl 1414.11151
Greenberg, Ralph
11
2016
Iwasawa theory, projective modules, and modular representations. Zbl 1247.11085
Greenberg, Ralph
11
2011
On the structure of certain Galois cohomology groups. Zbl 1138.11048
Greenberg, Ralph
11
2007
On the conjecture of Mazur, Tate, and Teitelbaum. Zbl 0846.11030
Greenberg, Ralph; Stevens, Glenn
9
1994
Iwasawa theory for motives. Zbl 0727.11043
Greenberg, Ralph
8
1991
On p-adic L-functions and cyclotomic fields. Zbl 0315.12008
Greenberg, Ralph
8
1975
Surjectivity of the global-to-local map defining a Selmer group. Zbl 1230.11133
Greenberg, Ralph
7
2010
On the critical values of Hecke \(L\)-functions for imaginary quadratic fields. Zbl 0558.12005
Greenberg, Ralph
7
1985
A generalization of Kummer’s criterion. Zbl 0269.12005
Greenberg, Ralph
7
1973
On the structure of Selmer groups. Zbl 1414.11140
Greenberg, Ralph
6
2016
Elliptic curves and \(p\)-adic deformations. Zbl 0821.14021
Greenberg, Ralph
5
1994
The image of Galois representations attached to elliptic curves with an isogeny. Zbl 1308.11060
Greenberg, Ralph
4
2012
On 2-adic L-functions and cyclotomic invariants. Zbl 0354.12014
Greenberg, Ralph
4
1978
Selmer groups and congruences. Zbl 1273.11091
Greenberg, Ralph
3
2011
The structure of Selmer groups. Zbl 0918.11058
Greenberg, Ralph
3
1997
Iwasawa’s theory and p-adic L-functions for imaginary quadratic fields. Zbl 0505.12006
Greenberg, Ralph
3
1982
On \(p\)-adic Artin \(L\)-functions. II. Zbl 1356.11077
Greenberg, Ralph
2
2014
On elliptic curves with an isogeny of degree 7. Zbl 1296.11063
Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M.
2
2014
Non-vanishing of certain values of \(L\)-functions. Zbl 0629.12010
Greenberg, Ralph
2
1987
Higher Chern classes in Iwasawa theory. Zbl 07208784
Bleher, F. M.; Chinburg, T.; Greenberg, R.; Kakde, M.; Pappas, G.; Sharifi, R.; Taylor, M. J.
1
2020
Cup products in the étale cohomology of number fields. Zbl 1422.11227
Bleher, F. M.; Chinburg, T.; Greenberg, R.; Kakde, M.; Pappas, G.; Taylor, M. J.
1
2018
Higher Chern classes in Iwasawa theory. Zbl 07208784
Bleher, F. M.; Chinburg, T.; Greenberg, R.; Kakde, M.; Pappas, G.; Sharifi, R.; Taylor, M. J.
1
2020
Cup products in the étale cohomology of number fields. Zbl 1422.11227
Bleher, F. M.; Chinburg, T.; Greenberg, R.; Kakde, M.; Pappas, G.; Taylor, M. J.
1
2018
Galois representations with open image. Zbl 1414.11151
Greenberg, Ralph
11
2016
On the structure of Selmer groups. Zbl 1414.11140
Greenberg, Ralph
6
2016
On \(p\)-adic Artin \(L\)-functions. II. Zbl 1356.11077
Greenberg, Ralph
2
2014
On elliptic curves with an isogeny of degree 7. Zbl 1296.11063
Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M.
2
2014
The image of Galois representations attached to elliptic curves with an isogeny. Zbl 1308.11060
Greenberg, Ralph
4
2012
Iwasawa theory, projective modules, and modular representations. Zbl 1247.11085
Greenberg, Ralph
11
2011
Selmer groups and congruences. Zbl 1273.11091
Greenberg, Ralph
3
2011
Surjectivity of the global-to-local map defining a Selmer group. Zbl 1230.11133
Greenberg, Ralph
7
2010
On the structure of certain Galois cohomology groups. Zbl 1138.11048
Greenberg, Ralph
11
2007
Galois theory for the Selmer group of an abelian variety. Zbl 1158.11319
Greenberg, Ralph
19
2003
Iwasawa theory – past and present. Zbl 0998.11054
Greenberg, Ralph
34
2001
Introduction to Iwasawa theory for elliptic curves. Zbl 1002.11048
Greenberg, Ralph
21
2001
On the Iwasawa invariants of elliptic curves. Zbl 1032.11046
Greenberg, Ralph; Vatsal, Vinayak
43
2000
Iwasawa theory for elliptic curves. Zbl 0946.11027
Greenberg, Ralph
54
1999
The structure of Selmer groups. Zbl 0918.11058
Greenberg, Ralph
3
1997
Kummer theory for abelian varieties over local fields. Zbl 0858.11032
Coates, J.; Greenberg, R.
51
1996
Iwasawa theory and \(p\)-adic deformations of motives. Zbl 0819.11046
Greenberg, Ralph
28
1994
Trivial zeros of \(p\)-adic \(L\)-functions. Zbl 0838.11070
Greenberg, Ralph
17
1994
On the conjecture of Mazur, Tate, and Teitelbaum. Zbl 0846.11030
Greenberg, Ralph; Stevens, Glenn
9
1994
Elliptic curves and \(p\)-adic deformations. Zbl 0821.14021
Greenberg, Ralph
5
1994
\(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms. Zbl 0778.11034
Greenberg, Ralph; Stevens, Glenn
82
1993
Iwasawa theory for motives. Zbl 0727.11043
Greenberg, Ralph
8
1991
Iwasawa theory for \(p\)-adic representations. Zbl 0739.11045
Greenberg, Ralph
69
1989
Non-vanishing of certain values of \(L\)-functions. Zbl 0629.12010
Greenberg, Ralph
2
1987
On the critical values of Hecke \(L\)-functions for imaginary quadratic fields. Zbl 0558.12005
Greenberg, Ralph
7
1985
On the Birch and Swinnerton-Dyer conjecture. Zbl 0546.14015
Greenberg, Ralph
33
1983
On \(p\)-adic Artin \(L\)-functions. Zbl 0513.12012
Greenberg, Ralph
14
1983
Iwasawa’s theory and p-adic L-functions for imaginary quadratic fields. Zbl 0505.12006
Greenberg, Ralph
3
1982
On the Jacobian variety of some algebraic curves. Zbl 0475.14026
Greenberg, Ralph
17
1981
On the structure of certain Galois groups. Zbl 0403.12004
Greenberg, Ralph
60
1978
On the behavior of \(p\)-adic \(L\)-functions at \(s=0\). Zbl 0441.12003
Ferrero, Bruce; Greenberg, Ralph
43
1978
A note on \(K_2\) and the theory of \(\mathbb{Z}_p\)-extensions. Zbl 0408.12012
Greenberg, Ralph
22
1978
On 2-adic L-functions and cyclotomic invariants. Zbl 0354.12014
Greenberg, Ralph
4
1978
On p-adic L-functions and cyclotomic fields. II. Zbl 0373.12007
Greenberg, Ralph
35
1977
On the Iwasawa invariants of totally real number fields. Zbl 0334.12013
Greenberg, Ralph
134
1976
On p-adic L-functions and cyclotomic fields. Zbl 0315.12008
Greenberg, Ralph
8
1975
The Iwasawa invariants of \(\Gamma\)-extensions of a fixed number field. Zbl 0268.12005
Greenberg, Ralph
33
1973
On a certain \(l\)-adic representation. Zbl 0268.12004
Greenberg, Ralph
26
1973
A generalization of Kummer’s criterion. Zbl 0269.12005
Greenberg, Ralph
7
1973
all top 5

Cited by 419 Authors

15 Fukuda, Takashi
14 Greenberg, Ralph
13 Ichimura, Humio
12 Komatsu, Keiichi
11 Itoh, Tsuyoshi
11 Lei, Antonio
11 Longo, Matteo
11 Mizusawa, Yasushi
11 Nguyen Quang Do, Thong
10 Lim, Meng Fai
10 Pollack, Robert
9 Gras, Georges
9 Movahhedi, Abbas
9 Ozaki, Manabu
8 Darmon, Henri René
8 Delbourgo, Daniel
8 Ochiai, Tadashi
8 Rubin, Karl Cooper
8 Simsek, Yilmaz
8 Ramdorai, Sujatha
7 Fujii, Satoshi
7 Jaulent, Jean-François
7 Kim, Byoung Du
7 Longhi, Ignazio
7 Perrin-Riou, Bernadette
6 Bertolini, Massimo
6 Coates, John H.
6 Matsuno, Kazuo
6 Seo, Soogil
6 Sumida-Takahashi, Hiroki
6 Tan, Ki-Seng
5 Bandini, Andrea
5 Hida, Haruzo
5 Kleine, Sören
5 Mazur, Barry
5 Rosso, Giovanni
5 Taya, Hisao
5 Vauclair, David
5 Weston, Tom
4 Ahmed, Suman
4 Bellaïche, Joël
4 Büyükboduk, Kâzim
4 Cuoco, Albert A.
4 Dasgupta, Samit
4 de Shalit, Ehud
4 Dokchitser, Vladimir
4 Gillard, Roland
4 Gross, Benedict Hyman
4 Howard, Benjamin
4 Kolster, Manfred
4 Kurihara, Masato
4 Nicole, Marc-Hubert
4 Park, Jeehoon
4 Rohrlich, David E.
4 Sands, Jonathan W.
4 Sharifi, Romyar T.
4 Shekhar, Sudhanshu
4 Tilouine, Jacques
4 Trihan, Fabien
4 Vatsal, Vinayak
4 Zerbes, Sarah Livia
3 Agboola, Adebisi
3 Arnold, Trevor
3 Assim, Jilali
3 Burns, David John
3 Castella, Francesc
3 Dokchitser, Tim
3 Greenberg, Matthew
3 Greither, Cornelius
3 Guo, Li
3 Hachimori, Yoshitaka
3 Harris, Michael Howard
3 Harron, Robert
3 Hsieh, Ming-Lun
3 Iovita, Adrian
3 Jha, Somnath
3 Kakde, Mahesh
3 Kim, Chan-Ho
3 Kim, Minhyong
3 Lai, King Fai
3 Maire, Christian
3 Masdeu, Marc
3 Matar, Ahmed
3 Monsky, Paul
3 Nakajima, Shōichi
3 Ohshita, Tatsuya
3 Palvannan, Bharathwaj
3 Ponsinet, Gautier
3 Tsuji, Takae
3 Urban, Eric
3 Venjakob, Otmar
3 Vigni, Stefano
3 Wiles, Andrew John
3 Wuthrich, Christian
3 Yamashita, Hiroshi
2 Aribam, Chandrakant S.
2 Atsuta, Mahiro
2 Backhausz, Tibor
2 Bars Cortina, Francesc
2 Belliard, Jean-Robert
...and 319 more Authors
all top 5

Cited in 97 Serials

88 Journal of Number Theory
42 Inventiones Mathematicae
34 Compositio Mathematica
28 International Journal of Number Theory
26 Annales de l’Institut Fourier
26 Mathematische Annalen
22 Manuscripta Mathematica
21 Duke Mathematical Journal
20 Transactions of the American Mathematical Society
18 Proceedings of the Japan Academy. Series A
18 Journal de Théorie des Nombres de Bordeaux
15 Annales Mathématiques du Québec
14 Proceedings of the American Mathematical Society
10 Mathematics of Computation
10 Mathematische Zeitschrift
9 Journal für die Reine und Angewandte Mathematik
9 Tokyo Journal of Mathematics
8 Mathematical Proceedings of the Cambridge Philosophical Society
7 Journal of Algebra
7 Tohoku Mathematical Journal. Second Series
6 Israel Journal of Mathematics
6 Journal of the American Mathematical Society
6 Journal of Algebraic Geometry
6 Annals of Mathematics. Second Series
6 Acta Mathematica Sinica. English Series
6 Kyoto Journal of Mathematics
5 Functiones et Approximatio. Commentarii Mathematici
5 Journal of Pure and Applied Algebra
5 Nagoya Mathematical Journal
5 Documenta Mathematica
4 Acta Arithmetica
4 Archiv der Mathematik
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 \(K\)-Theory
3 Advances in Mathematics
3 Bulletin de la Société Mathématique de France
3 Journal of the Mathematical Society of Japan
3 Kodai Mathematical Journal
3 Forum Mathematicum
3 Proceedings of the National Academy of Sciences of the United States of America
3 Mémoires de la Société Mathématique de France. Nouvelle Série
3 Experimental Mathematics
3 Russian Journal of Mathematical Physics
3 Annales Mathématiques Blaise Pascal
3 Selecta Mathematica. New Series
3 The Ramanujan Journal
3 Algebra & Number Theory
2 Bulletin of the Australian Mathematical Society
2 Computers & Mathematics with Applications
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Publications Mathématiques
2 Journal of Soviet Mathematics
2 Osaka Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Rendiconti del Seminario Matematico della Università di Padova
2 Bulletin of the American Mathematical Society. New Series
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
2 Forum of Mathematics, Sigma
2 Research in Number Theory
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Glasgow Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Acta Mathematica Hungarica
1 Revista Matemática Iberoamericana
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 L’Enseignement Mathématique. 2e Série
1 Indagationes Mathematicae. New Series
1 The New York Journal of Mathematics
1 Izvestiya: Mathematics
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 Journal of Inequalities and Applications
1 LMS Journal of Computation and Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Journal of the Australian Mathematical Society
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Involve
1 Journal of \(K\)-Theory
1 Advances in Numerical Analysis
1 Science China. Mathematics
1 Research in the Mathematical Sciences
1 Journal de l’École Polytechnique – Mathématiques
1 Journal of Numbers
1 Proceedings of the American Mathematical Society. Series B
1 Bollettino dell’Unione Matematica Italiana

Citations by Year

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