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Schaefer, Edward F.

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Author ID: schaefer.edward-f Recent zbMATH articles by "Schaefer, Edward F."
Published as: Schaefer, Edward F.
External Links: MGP · dblp
Documents Indexed: 22 Publications since 1995

Publications by Year

Citations contained in zbMATH Open

17 Publications have been cited 312 times in 219 Documents Cited by Year
Cycles of quadratic polynomials and rational points on a genus-2 curve. Zbl 0958.11024
Flynn, E. V.; Poonen, Bjorn; Schaefer, Edward F.
45
1997
Explicit descent for Jacobians of cyclic covers of the projective line. Zbl 0888.11023
Poonen, Bjorn; Schaefer, Edward F.
41
1997
Computing a Selmer group of a Jacobian using functions on the curve. Zbl 0889.11021
Schaefer, Edward F.
33
1998
Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\). Zbl 1124.11019
Poonen, Bjorn; Schaefer, Edward F.; Stoll, Michael
31
2007
2-descent on the Jacobians of hyperelliptic curves. Zbl 0832.14016
Schaefer, Edward F.
28
1995
Class groups and Selmer groups. Zbl 0859.11034
Schaefer, Edward F.
26
1996
How to do a \(p\)-descent on an elliptic curve. Zbl 1119.11029
Schaefer, Edward F.; Stoll, Michael
24
2004
Constructing Brezing-Weng pairing-friendly elliptic curves using elements in the cyclotomic field. Zbl 1186.94451
Kachisa, Ezekiel J.; Schaefer, Edward F.; Scott, Michael
24
2008
Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. Zbl 1020.11043
Flynn, E. Victor; Leprévost, Franck; Schaefer, Edward F.; Stein, William A.; Stoll, Michael
17
2001
Computing the \(p\)-Selmer group of an elliptic curve. Zbl 0954.11022
Djabri, Z.; Schaefer, Edward F.; Smart, N. P.
12
2000
Selmer groups of elliptic curves that can be arbitrarily large. Zbl 1074.11032
Kloosterman, Remke; Schaefer, Edward F.
10
2003
A simplified aes algorithm and its linear and differential cryptanalyses. Zbl 1325.94131
Musa, Mohammad A.; Schaefer, Edward F.; Wedig, Stephen
5
2003
Arithmetic and geometry of the curve \(y^ 3+1=x^ 4\). Zbl 0838.14018
Klassen, Matthew J.; Schaefer, Edward F.
5
1996
A new proof for the non-degeneracy of the Frey-Rück pairing and a connection to isogenies over the base field. Zbl 1154.14320
Schaefer, Edward F.
5
2005
A simplified data encryption standard algorithm. Zbl 0853.94002
Schaefer, Edward F.
3
1996
Computing the Selmer group of an isogeny between Abelian varieties using a further isogeny to a Jacobian. Zbl 1095.11033
Schaefer, Edward F.; Wetherell, Joseph L.
2
2005
The yoga of the Cassels-Tate pairing. Zbl 1278.11062
Fisher, Tom; Schaefer, Edward F.; Stoll, Michael
1
2010
The yoga of the Cassels-Tate pairing. Zbl 1278.11062
Fisher, Tom; Schaefer, Edward F.; Stoll, Michael
1
2010
Constructing Brezing-Weng pairing-friendly elliptic curves using elements in the cyclotomic field. Zbl 1186.94451
Kachisa, Ezekiel J.; Schaefer, Edward F.; Scott, Michael
24
2008
Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\). Zbl 1124.11019
Poonen, Bjorn; Schaefer, Edward F.; Stoll, Michael
31
2007
A new proof for the non-degeneracy of the Frey-Rück pairing and a connection to isogenies over the base field. Zbl 1154.14320
Schaefer, Edward F.
5
2005
Computing the Selmer group of an isogeny between Abelian varieties using a further isogeny to a Jacobian. Zbl 1095.11033
Schaefer, Edward F.; Wetherell, Joseph L.
2
2005
How to do a \(p\)-descent on an elliptic curve. Zbl 1119.11029
Schaefer, Edward F.; Stoll, Michael
24
2004
Selmer groups of elliptic curves that can be arbitrarily large. Zbl 1074.11032
Kloosterman, Remke; Schaefer, Edward F.
10
2003
A simplified aes algorithm and its linear and differential cryptanalyses. Zbl 1325.94131
Musa, Mohammad A.; Schaefer, Edward F.; Wedig, Stephen
5
2003
Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. Zbl 1020.11043
Flynn, E. Victor; Leprévost, Franck; Schaefer, Edward F.; Stein, William A.; Stoll, Michael
17
2001
Computing the \(p\)-Selmer group of an elliptic curve. Zbl 0954.11022
Djabri, Z.; Schaefer, Edward F.; Smart, N. P.
12
2000
Computing a Selmer group of a Jacobian using functions on the curve. Zbl 0889.11021
Schaefer, Edward F.
33
1998
Cycles of quadratic polynomials and rational points on a genus-2 curve. Zbl 0958.11024
Flynn, E. V.; Poonen, Bjorn; Schaefer, Edward F.
45
1997
Explicit descent for Jacobians of cyclic covers of the projective line. Zbl 0888.11023
Poonen, Bjorn; Schaefer, Edward F.
41
1997
Class groups and Selmer groups. Zbl 0859.11034
Schaefer, Edward F.
26
1996
Arithmetic and geometry of the curve \(y^ 3+1=x^ 4\). Zbl 0838.14018
Klassen, Matthew J.; Schaefer, Edward F.
5
1996
A simplified data encryption standard algorithm. Zbl 0853.94002
Schaefer, Edward F.
3
1996
2-descent on the Jacobians of hyperelliptic curves. Zbl 0832.14016
Schaefer, Edward F.
28
1995
all top 5

Cited by 262 Authors

15 Flynn, Eugene Victor
14 Stoll, Michael
10 Fisher, Tom A.
9 Creutz, Brendan
9 Schaefer, Edward F.
7 Bruin, Nils
7 Siksek, Samir
7 Zarkhin, Yuriĭ Gennad’evich
6 Doyle, John R.
4 Balakrishnan, Jennifer S.
4 Cremona, John E.
4 Dokchitser, Tim
4 Poonen, Bjorn
3 Bandini, Andrea
3 Benedetto, Robert L.
3 Bhargava, Manjul
3 Česnavičius, Kęstutis
3 Dominguez Perez, Luis J.
3 Duquesne, Sylvain
3 Freitas, Nuno
3 Girard, Martine
3 Hutz, Benjamin
3 Lee, Hyangsook
3 Lorenzo García, Elisa
3 Manes, Michelle
3 Müller, Jan Steffen
3 Stein, William A.
3 Top, Jaap
3 Wang, Xiaoheng
3 Xue, Jiangwei
2 Bekker, Boris Mikhaĭlovich
2 Benger, Naomi
2 Bruin, Peter
2 Byeon, Dongho
2 Canci, Jung Kyu
2 Charlemagne, Manuel
2 Chen, Imin
2 Costello, Craig
2 Dahmen, Sander R.
2 Dokchitser, Vladimir
2 Faber, Xander
2 Fall, Moussa
2 Fotiadis, Georgios
2 Fouotsa, Emmanuel
2 Ghammam, Loubna
2 Gross, Benedict Hyman
2 Hirakawa, Yoshinosuke
2 Ingram, Patrick
2 Jedrzejak, Tomasz
2 Kachisa, Ezekiel J.
2 Kirst, Peter
2 Kloosterman, Remke Nanne
2 Konstantinou, Elisavet
2 Kosunen, Pekka
2 Krumm, David
2 Kulesz, Leopoldo
2 Lee, Eunjeong
2 Logan, Adam
2 Luca, Florian
2 Matsumura, Hideki
2 Miller, Robert L.
2 Narkiewicz, Władysław
2 Paladino, Laura
2 Park, Cheol Min
2 Pries, Rachel J.
2 Rodríguez-Henríquez, Francisco
2 Rouse, Jeremy A.
2 Sall, Oumar
2 Shparlinski, Igor E.
2 Silverberg, Alice
2 Silverman, Joseph Hillel
2 Smart, Nigel P.
2 Stein, Oliver
2 Sutherland, Andrew V.
2 van Bommel, Raymond
2 Viray, Bianca
2 Vishkautsan, Solomon
2 Zureick-Brown, David
1 Abdullah, Rosni
1 Agashe, Amod
1 Almazrooie, Mishal
1 Anderson, Greg W.
1 Arnth-Jensen, Anna
1 Baker, Matthew H.
1 Barbulescu, Razvan
1 Bartel, Alex
1 Bennett, Michael A.
1 Berger, Lisa
1 Besser, Amnon
1 Binegar, Skye
1 Boyd, Colin A.
1 Bremner, Andrew
1 Bright, M. J.
1 Brumer, Armand
1 Chen, Ruqian
1 Chen, Zexiang
1 Corn, Patrick
1 Cruz-Cortés, Nareli
1 Daniels, Harris B.
1 de Graaf, Willem Adriaan
...and 162 more Authors
all top 5

Cited in 68 Serials

25 Mathematics of Computation
21 Journal of Number Theory
11 Journal de Théorie des Nombres de Bordeaux
11 International Journal of Number Theory
9 Transactions of the American Mathematical Society
7 Compositio Mathematica
7 LMS Journal of Computation and Mathematics
6 Acta Arithmetica
6 Manuscripta Mathematica
5 Duke Mathematical Journal
5 Journal of Algebra
5 Mathematische Zeitschrift
5 Research in Number Theory
4 Journal für die Reine und Angewandte Mathematik
4 Proceedings of the American Mathematical Society
4 Journal of Symbolic Computation
4 Journal of Cryptology
3 Rocky Mountain Journal of Mathematics
3 Cryptologia
3 Finite Fields and their Applications
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Archiv der Mathematik
2 Indagationes Mathematicae. New Series
2 Experimental Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 JSIAM Letters
2 Research in the Mathematical Sciences
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Discrete Applied Mathematics
1 Advances in Mathematics
1 Commentarii Mathematici Helvetici
1 Czechoslovak Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Information Sciences
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series B
1 Journal of Optimization Theory and Applications
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Theoretical Computer Science
1 Ergodic Theory and Dynamical Systems
1 Journal of the American Mathematical Society
1 Journal of Global Optimization
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Applicable Algebra in Engineering, Communication and Computing
1 St. Petersburg Mathematical Journal
1 Izvestiya: Mathematics
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Transformation Groups
1 The Ramanujan Journal
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Applied Mathematics and Computing
1 Quantum Information Processing
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Mathematical Cryptology
1 Algebra & Number Theory
1 Involve
1 Afrika Matematika
1 Forum of Mathematics, Sigma
1 Carpathian Mathematical Publications
1 Journal of Complex Analysis
1 Proceedings of the American Mathematical Society. Series B
1 Prikladnaya Diskretnaya Matematika

Citations by Year