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Author ID: greenberg.ralph Recent zbMATH articles by "Greenberg, Ralph"
Published as: Greenberg, Ralph; Greenberg, R.
Homepage: http://www.math.washington.edu/~greenber/personal.html
External Links: MGP · Wikidata · GND · IdRef · theses.fr

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 1,119 times in 708 Documents Cited by Year
On the Iwasawa invariants of totally real number fields. Zbl 0334.12013
Greenberg, Ralph
147
1976
\(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms. Zbl 0778.11034
Greenberg, Ralph; Stevens, Glenn
94
1993
Iwasawa theory for \(p\)-adic representations. Zbl 0739.11045
Greenberg, Ralph
87
1989
Iwasawa theory for elliptic curves. Zbl 0946.11027
Greenberg, Ralph
77
1999
On the structure of certain Galois groups. Zbl 0403.12004
Greenberg, Ralph
62
1978
Kummer theory for abelian varieties over local fields. Zbl 0858.11032
Coates, J.; Greenberg, R.
61
1996
On the Iwasawa invariants of elliptic curves. Zbl 1032.11046
Greenberg, Ralph; Vatsal, Vinayak
55
2000
On the behavior of \(p\)-adic \(L\)-functions at \(s=0\). Zbl 0441.12003
Ferrero, Bruce; Greenberg, Ralph
48
1978
Iwasawa theory and \(p\)-adic deformations of motives. Zbl 0819.11046
Greenberg, Ralph
37
1994
The Iwasawa invariants of \(\Gamma\)-extensions of a fixed number field. Zbl 0268.12005
Greenberg, Ralph
37
1973
Iwasawa theory – past and present. Zbl 0998.11054
Greenberg, Ralph
37
2001
On p-adic L-functions and cyclotomic fields. II. Zbl 0373.12007
Greenberg, Ralph
37
1977
On the Birch and Swinnerton-Dyer conjecture. Zbl 0546.14015
Greenberg, Ralph
36
1983
On a certain \(l\)-adic representation. Zbl 0268.12004
Greenberg, Ralph
29
1973
Galois theory for the Selmer group of an abelian variety. Zbl 1158.11319
Greenberg, Ralph
25
2003
Introduction to Iwasawa theory for elliptic curves. Zbl 1002.11048
Greenberg, Ralph
23
2001
A note on \(K_2\) and the theory of \(\mathbb{Z}_p\)-extensions. Zbl 0408.12012
Greenberg, Ralph
22
1978
Trivial zeros of \(p\)-adic \(L\)-functions. Zbl 0838.11070
Greenberg, Ralph
17
1994
Iwasawa theory, projective modules, and modular representations. Zbl 1247.11085
Greenberg, Ralph
17
2011
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
16
1983
Galois representations with open image. Zbl 1414.11151
Greenberg, Ralph
16
2016
On the structure of certain Galois cohomology groups. Zbl 1138.11048
Greenberg, Ralph
15
2007
Surjectivity of the global-to-local map defining a Selmer group. Zbl 1230.11133
Greenberg, Ralph
13
2010
On the structure of Selmer groups. Zbl 1414.11140
Greenberg, Ralph
11
2016
On the conjecture of Mazur, Tate, and Teitelbaum. Zbl 0846.11030
Greenberg, Ralph; Stevens, Glenn
10
1994
On p-adic L-functions and cyclotomic fields. Zbl 0315.12008
Greenberg, Ralph
9
1975
On the critical values of Hecke \(L\)-functions for imaginary quadratic fields. Zbl 0558.12005
Greenberg, Ralph
8
1985
A generalization of Kummer’s criterion. Zbl 0269.12005
Greenberg, Ralph
7
1973
Iwasawa theory for motives. Zbl 0727.11043
Greenberg, Ralph
7
1991
Elliptic curves and \(p\)-adic deformations. Zbl 0821.14021
Greenberg, Ralph
6
1994
The image of Galois representations attached to elliptic curves with an isogeny. Zbl 1308.11060
Greenberg, Ralph
6
2012
Higher Chern classes in Iwasawa theory. Zbl 1478.11134
Bleher, F. M.; Chinburg, T.; Greenberg, R.; Kakde, M.; Pappas, G.; Sharifi, R.; Taylor, M. J.
5
2020
The structure of Selmer groups. Zbl 0918.11058
Greenberg, Ralph
5
1997
Selmer groups and congruences. Zbl 1273.11091
Greenberg, Ralph
4
2011
On 2-adic L-functions and cyclotomic invariants. Zbl 0354.12014
Greenberg, Ralph
4
1978
On elliptic curves with an isogeny of degree 7. Zbl 1296.11063
Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M.
4
2014
Iwasawa’s theory and p-adic L-functions for imaginary quadratic fields. Zbl 0505.12006
Greenberg, Ralph
3
1982
Non-vanishing of certain values of \(L\)-functions. Zbl 0629.12010
Greenberg, Ralph
2
1987
On \(p\)-adic Artin \(L\)-functions. II. Zbl 1356.11077
Greenberg, Ralph
2
2014
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 1478.11134
Bleher, F. M.; Chinburg, T.; Greenberg, R.; Kakde, M.; Pappas, G.; Sharifi, R.; Taylor, M. J.
5
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
16
2016
On the structure of Selmer groups. Zbl 1414.11140
Greenberg, Ralph
11
2016
On elliptic curves with an isogeny of degree 7. Zbl 1296.11063
Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M.
4
2014
On \(p\)-adic Artin \(L\)-functions. II. Zbl 1356.11077
Greenberg, Ralph
2
2014
The image of Galois representations attached to elliptic curves with an isogeny. Zbl 1308.11060
Greenberg, Ralph
6
2012
Iwasawa theory, projective modules, and modular representations. Zbl 1247.11085
Greenberg, Ralph
17
2011
Selmer groups and congruences. Zbl 1273.11091
Greenberg, Ralph
4
2011
Surjectivity of the global-to-local map defining a Selmer group. Zbl 1230.11133
Greenberg, Ralph
13
2010
On the structure of certain Galois cohomology groups. Zbl 1138.11048
Greenberg, Ralph
15
2007
Galois theory for the Selmer group of an abelian variety. Zbl 1158.11319
Greenberg, Ralph
25
2003
Iwasawa theory – past and present. Zbl 0998.11054
Greenberg, Ralph
37
2001
Introduction to Iwasawa theory for elliptic curves. Zbl 1002.11048
Greenberg, Ralph
23
2001
On the Iwasawa invariants of elliptic curves. Zbl 1032.11046
Greenberg, Ralph; Vatsal, Vinayak
55
2000
Iwasawa theory for elliptic curves. Zbl 0946.11027
Greenberg, Ralph
77
1999
The structure of Selmer groups. Zbl 0918.11058
Greenberg, Ralph
5
1997
Kummer theory for abelian varieties over local fields. Zbl 0858.11032
Coates, J.; Greenberg, R.
61
1996
Iwasawa theory and \(p\)-adic deformations of motives. Zbl 0819.11046
Greenberg, Ralph
37
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
10
1994
Elliptic curves and \(p\)-adic deformations. Zbl 0821.14021
Greenberg, Ralph
6
1994
\(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms. Zbl 0778.11034
Greenberg, Ralph; Stevens, Glenn
94
1993
Iwasawa theory for motives. Zbl 0727.11043
Greenberg, Ralph
7
1991
Iwasawa theory for \(p\)-adic representations. Zbl 0739.11045
Greenberg, Ralph
87
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
8
1985
On the Birch and Swinnerton-Dyer conjecture. Zbl 0546.14015
Greenberg, Ralph
36
1983
On \(p\)-adic Artin \(L\)-functions. Zbl 0513.12012
Greenberg, Ralph
16
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
62
1978
On the behavior of \(p\)-adic \(L\)-functions at \(s=0\). Zbl 0441.12003
Ferrero, Bruce; Greenberg, Ralph
48
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
37
1977
On the Iwasawa invariants of totally real number fields. Zbl 0334.12013
Greenberg, Ralph
147
1976
On p-adic L-functions and cyclotomic fields. Zbl 0315.12008
Greenberg, Ralph
9
1975
The Iwasawa invariants of \(\Gamma\)-extensions of a fixed number field. Zbl 0268.12005
Greenberg, Ralph
37
1973
On a certain \(l\)-adic representation. Zbl 0268.12004
Greenberg, Ralph
29
1973
A generalization of Kummer’s criterion. Zbl 0269.12005
Greenberg, Ralph
7
1973
all top 5

Cited by 455 Authors

19 Lim, Meng Fai
18 Lei, Antonio
16 Greenberg, Ralph
15 Fukuda, Takashi
14 Mizusawa, Yasushi
13 Ichimura, Humio
12 Komatsu, Keiichi
11 Gras, Georges
11 Itoh, Tsuyoshi
11 Longo, Matteo
11 Nguyen Quang Do, Thong
10 Delbourgo, Daniel
9 Darmon, Henri René
9 Movahhedi, Abbas
9 Ozaki, Manabu
9 Pollack, Robert
9 Ramdorai, Sujatha
8 Bertolini, Massimo
8 Coates, John H.
8 Fujii, Satoshi
8 Kim, Byoung Du
8 Ochiai, Tadashi
8 Rubin, Karl Cooper
8 Simsek, Yilmaz
7 Castella, Francesc
7 Jaulent, Jean-François
7 Kleine, Sören
7 Longhi, Ignazio
7 Perrin-Riou, Bernadette
7 Seo, Soogil
6 Hida, Haruzo
6 Matsuno, Kazuo
6 Sumida-Takahashi, Hiroki
6 Tan, Ki-Seng
5 Ahmed, Suman
5 Bandini, Andrea
5 Büyükboduk, Kâzim
5 Kataoka, Takenori
5 Matar, Ahmed
5 Mazur, Barry
5 Ray, Anwesh
5 Rosso, Giovanni
5 Sharifi, Romyar T.
5 Shekhar, Sudhanshu
5 Taya, Hisao
5 Vatsal, Vinayak
5 Vauclair, David
5 Weston, Tom
5 Zerbes, Sarah Livia
4 Agboola, Adebisi
4 Assim, Jilali
4 Barrera Salazar, Daniel
4 Bellaïche, Joël
4 Betina, Adel
4 Cuoco, Albert A.
4 Dasgupta, Samit
4 de Shalit, Ehud
4 Dimitrov, Mladen
4 Dokchitser, Tim
4 Dokchitser, Vladimir
4 Greither, Cornelius
4 Gross, Benedict Hyman
4 Hatley, Jeffrey
4 Howard, Benjamin
4 Hsieh, Ming-Lun
4 Jha, Somnath
4 Kakde, Mahesh
4 Kolster, Manfred
4 Kundu, Debanjana
4 Kurihara, Masato
4 Maire, Christian
4 Nicole, Marc-Hubert
4 Park, Jeehoon
4 Rohrlich, David E.
4 Sands, Jonathan W.
4 Tilouine, Jacques
4 Trihan, Fabien
4 Urban, Eric
4 Venerucci, Rodolfo
4 Vigni, Stefano
4 Williams, Chris J. K.
4 Yamamoto, Kota
3 Arnold, Trevor
3 Böckle, Gebhard
3 Česnavičius, Kęstutis
3 Gillard, Roland
3 Greenberg, Matthew
3 Guo, Li
3 Hachimori, Yoshitaka
3 Harris, Michael Howard
3 Harron, Robert
3 Iovita, Adrian
3 Kim, Chan-Ho
3 Kim, Minhyong
3 Lai, King Fai
3 Loeffler, David
3 Masdeu, Marc
3 Monsky, Paul
3 Murakami, Kazuaki
3 Nakajima, Shōichi
...and 355 more Authors
all top 5

Cited in 109 Serials

96 Journal of Number Theory
43 Inventiones Mathematicae
34 Compositio Mathematica
30 International Journal of Number Theory
29 Annales de l’Institut Fourier
29 Journal de Théorie des Nombres de Bordeaux
26 Mathematische Annalen
23 Manuscripta Mathematica
22 Duke Mathematical Journal
20 Transactions of the American Mathematical Society
18 Proceedings of the Japan Academy. Series A
18 Annales Mathématiques du Québec
15 Proceedings of the American Mathematical Society
12 Mathematische Zeitschrift
11 Mathematics of Computation
11 Tokyo Journal of Mathematics
10 Mathematical Proceedings of the Cambridge Philosophical Society
9 Journal für die Reine und Angewandte Mathematik
7 Acta Arithmetica
7 Advances in Mathematics
7 Journal of Algebra
7 Tôhoku Mathematical Journal. Second Series
7 Annals of Mathematics. Second Series
6 Israel Journal of Mathematics
6 Archiv der Mathematik
6 Functiones et Approximatio. Commentarii Mathematici
6 Journal of the American Mathematical Society
6 Journal of Algebraic Geometry
6 Selecta Mathematica. New Series
6 Documenta Mathematica
6 Acta Mathematica Sinica. English Series
6 Kyoto Journal of Mathematics
5 Journal of Pure and Applied Algebra
5 Nagoya Mathematical Journal
5 Forum Mathematicum
5 The Ramanujan Journal
5 Journal of the European Mathematical Society (JEMS)
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 \(K\)-Theory
4 Research in Number Theory
3 Bulletin de la Société Mathématique de France
3 Journal of the Mathematical Society of Japan
3 Kodai Mathematical Journal
3 Osaka Journal of Mathematics
3 Journal of the Ramanujan Mathematical Society
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 Algebra & Number Theory
2 Bulletin of the Australian Mathematical Society
2 Computers & Mathematics with Applications
2 Periodica Mathematica Hungarica
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Canadian Journal of Mathematics
2 Publications Mathématiques
2 Journal of Soviet Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Rendiconti del Seminario Matematico della Università di Padova
2 Acta Mathematica Hungarica
2 Revista Matemática Iberoamericana
2 Publicacions Matemàtiques
2 Bulletin of the American Mathematical Society. New Series
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 The New York Journal of Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
2 Forum of Mathematics, Sigma
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 American Journal of Mathematics
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of the London Mathematical Society. Second Series
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 L’Enseignement Mathématique. 2e Série
1 Indagationes Mathematicae. New Series
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 Australian Mathematical Society
1 Moscow Mathematical Journal
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Milan Journal of Mathematics
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Involve
1 Journal of \(K\)-Theory
...and 9 more Serials

Citations by Year

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