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Author ID: satoh.takakazu Recent zbMATH articles by "Satoh, Takakazu"
Published as: Satoh, Takakazu
Documents Indexed: 32 Publications since 1984
Co-Authors: 13 Co-Authors with 13 Joint Publications
231 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 181 times in 151 Documents Cited by Year
The canonical lift of an ordinary elliptic curve over a finite field and its point counting. Zbl 1009.11051
Satoh, Takakazu
32
2000
On certain vector valued Siegel modular forms of degree two. Zbl 0571.10028
Satoh, Takakazu
25
1986
On the pullback of a differential operator and its application to vector valued Eisenstein series. Zbl 0759.11015
Böcherer, Siegfried; Satoh, Takakazu; Yamazaki, Tadashi
19
1992
Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves. Zbl 1044.11591
Satoh, Takakazu; Araki, Kiyomichi
17
1998
Some remarks on triple L-functions. Zbl 0607.10020
Satoh, Takakazu
15
1987
Fast computation of canonical lifts of elliptic curves and its application to point counting. Zbl 1106.14302
Satoh, Takakazu; Skjernaa, Berit; Taguchi, Yuichiro
11
2003
Function field modular forms and higher derivations. Zbl 1155.11329
Uchino, Yukiko; Satoh, Takakazu
9
1998
Constructing pairing-friendly hyperelliptic curves using Weil restriction. Zbl 1245.11075
Freeman, David Mandell; Satoh, Takakazu
7
2011
On \(p\)-adic point counting algorithms for elliptic curves over finite fields. Zbl 1058.11043
Satoh, Takakazu
6
2002
Generating genus two hyperelliptic curves over large characteristic finite fields. Zbl 1239.94065
Satoh, Takakazu
5
2009
Jacobi forms and certain special values of Dirichlet series associated to modular forms. Zbl 0662.10019
Satoh, Takakazu
4
1989
Overview of elliptic curve cryptography. Zbl 0915.94003
Araki, Kiyomichi; Satoh, Takakazu; Miura, Shinji
4
1998
On polynomial interpolations related to Verheul homomorphisms. Zbl 1162.11058
Satoh, Takakazu
3
2006
On degrees of polynomial interpolations related to elliptic curve cryptography. Zbl 1151.94567
Satoh, Takakazu
3
2006
On the optimality of lattices for the Coppersmith technique. Zbl 1401.94136
Aono, Yoshinori; Agrawal, Manindra; Satoh, Takakazu; Watanabe, Osamu
3
2018
On pairing inversion problems. Zbl 1151.94568
Satoh, Takakazu
3
2007
Wiener measures on certain Banach spaces over non-Archimedean local fields. Zbl 0811.60007
Satoh, Takakazu
2
1994
Construction of certain vector valued Siegel modular forms of degree two. Zbl 0571.10027
Satoh, Takakazu
2
1985
Generalized division polynomials. Zbl 1064.11044
Satoh, Takakazu
2
2004
On the optimality of lattices for the Coppersmith technique. Zbl 1308.94058
Aono, Yoshinori; Agrawal, Manindra; Satoh, Takakazu; Watanabe, Osamu
2
2012
More discriminants with the Brezing-Weng method. Zbl 1203.94094
Bisson, Gaetan; Satoh, Takakazu
2
2008
On differential operators and congruences for Siegel modular forms of degree two. Zbl 0571.10026
Satoh, Takakazu
1
1984
Closed formulae for the Weil pairing inversion. Zbl 1175.11028
Satoh, Takakazu
1
2008
Euclid prime sequences over unique factorization domains. Zbl 1216.11107
Kurokawa, Nobushige; Satoh, Takakazu
1
2008
Computing zeta functions for ordinary formal groups over finite fields. Zbl 1040.11089
Satoh, Takakazu; Taguchi, Yuichiro
1
2003
On the equivalence of the norms of the discrete differential forms in discrete exterior calculus. (On the equivalence of the norms of the discrete diffrential forms in discrete exterior calculus.) Zbl 1410.65419
Satoh, T.; Yaguchi, T.
1
2019
On the equivalence of the norms of the discrete differential forms in discrete exterior calculus. (On the equivalence of the norms of the discrete diffrential forms in discrete exterior calculus.) Zbl 1410.65419
Satoh, T.; Yaguchi, T.
1
2019
On the optimality of lattices for the Coppersmith technique. Zbl 1401.94136
Aono, Yoshinori; Agrawal, Manindra; Satoh, Takakazu; Watanabe, Osamu
3
2018
On the optimality of lattices for the Coppersmith technique. Zbl 1308.94058
Aono, Yoshinori; Agrawal, Manindra; Satoh, Takakazu; Watanabe, Osamu
2
2012
Constructing pairing-friendly hyperelliptic curves using Weil restriction. Zbl 1245.11075
Freeman, David Mandell; Satoh, Takakazu
7
2011
Generating genus two hyperelliptic curves over large characteristic finite fields. Zbl 1239.94065
Satoh, Takakazu
5
2009
More discriminants with the Brezing-Weng method. Zbl 1203.94094
Bisson, Gaetan; Satoh, Takakazu
2
2008
Closed formulae for the Weil pairing inversion. Zbl 1175.11028
Satoh, Takakazu
1
2008
Euclid prime sequences over unique factorization domains. Zbl 1216.11107
Kurokawa, Nobushige; Satoh, Takakazu
1
2008
On pairing inversion problems. Zbl 1151.94568
Satoh, Takakazu
3
2007
On polynomial interpolations related to Verheul homomorphisms. Zbl 1162.11058
Satoh, Takakazu
3
2006
On degrees of polynomial interpolations related to elliptic curve cryptography. Zbl 1151.94567
Satoh, Takakazu
3
2006
Generalized division polynomials. Zbl 1064.11044
Satoh, Takakazu
2
2004
Fast computation of canonical lifts of elliptic curves and its application to point counting. Zbl 1106.14302
Satoh, Takakazu; Skjernaa, Berit; Taguchi, Yuichiro
11
2003
Computing zeta functions for ordinary formal groups over finite fields. Zbl 1040.11089
Satoh, Takakazu; Taguchi, Yuichiro
1
2003
On \(p\)-adic point counting algorithms for elliptic curves over finite fields. Zbl 1058.11043
Satoh, Takakazu
6
2002
The canonical lift of an ordinary elliptic curve over a finite field and its point counting. Zbl 1009.11051
Satoh, Takakazu
32
2000
Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves. Zbl 1044.11591
Satoh, Takakazu; Araki, Kiyomichi
17
1998
Function field modular forms and higher derivations. Zbl 1155.11329
Uchino, Yukiko; Satoh, Takakazu
9
1998
Overview of elliptic curve cryptography. Zbl 0915.94003
Araki, Kiyomichi; Satoh, Takakazu; Miura, Shinji
4
1998
Wiener measures on certain Banach spaces over non-Archimedean local fields. Zbl 0811.60007
Satoh, Takakazu
2
1994
On the pullback of a differential operator and its application to vector valued Eisenstein series. Zbl 0759.11015
Böcherer, Siegfried; Satoh, Takakazu; Yamazaki, Tadashi
19
1992
Jacobi forms and certain special values of Dirichlet series associated to modular forms. Zbl 0662.10019
Satoh, Takakazu
4
1989
Some remarks on triple L-functions. Zbl 0607.10020
Satoh, Takakazu
15
1987
On certain vector valued Siegel modular forms of degree two. Zbl 0571.10028
Satoh, Takakazu
25
1986
Construction of certain vector valued Siegel modular forms of degree two. Zbl 0571.10027
Satoh, Takakazu
2
1985
On differential operators and congruences for Siegel modular forms of degree two. Zbl 0571.10026
Satoh, Takakazu
1
1984
all top 5

Cited by 213 Authors

9 Ibukiyama, Tomoyoshi
9 Satoh, Takakazu
7 Dummigan, Neil
5 Böcherer, Siegfried
5 Katsurada, Hidenori
5 Mizumoto, Shin-ichiro
5 Van der Geer, Gerard
4 Bergström, Jonas
4 Faber, Carel Filip
4 Gaudry, Pierrick
4 Heim, Bernhard Ernst
4 Lubicz, David
3 Finotti, Luís R. A.
3 Hubrechts, Hendrik
3 Novoselov, S. A.
3 Schulze-Pillot, Rainer
3 Takayasu, Atsushi
2 Abelard, Simon
2 Blake, Ian F.
2 Chiesa, Alessandro
2 Cléry, Fabien
2 Freitag, Eberhard
2 Garefalakis, Theo
2 Hahn, Sang Geun
2 Kogure, Jun
2 Konstantinou, Elisavet
2 Kontogeorgis, Aristides I.
2 Kozima, Noritomo
2 Kunihiro, Noboru
2 Lercier, Reynald
2 Liu, Zeyu
2 Menezes, Alfred J.
2 Pellarin, Federico
2 Perkins, Rudolph Bronson
2 Pitale, Ameya
2 Saha, Abhishek
2 Salvati Manni, Riccardo
2 Schmidt, Ralf
2 Schost, Éric
2 Shparlinski, Igor E.
2 Skjernaa, Berit
2 Sutherland, Andrew V.
2 Takemori, Sho
2 Vincent, Christelle
2 Xia, Tie-Cheng
2 Yasuda, Masaya
1 Agrawal, Manindra
1 Ahmadi, Omran
1 Albeverio, Sergio A.
1 Ansari, Bijan
1 Aoki, Hiroki
1 Aono, Yoshinori
1 Barbosa, Manuel
1 Belkasmi, Mostafa
1 Ben-Sasson, Eli
1 Bernstein, Daniel Julius
1 Böckle, Gebhard
1 Booker, Andrew R.
1 Bosser, Vincent
1 Bostan, Alin
1 Boudjou, Hortense
1 Bouganis, Thanasis
1 Bröker, Reinier
1 Carls, Robert
1 Chang, Chieh-Yu
1 Chatel, Gweltaz
1 Chen, Shih-Yu
1 Cheng, Yao
1 Cheon, Jung Hee
1 Chinburg, Ted
1 Chua, Lynn
1 Cohen, Gérard Denis
1 Coron, Jean-Sébastien
1 Das, Soumya
1 Delaplace, Claire
1 Denef, Jan
1 Diarra, Nafissatou
1 Dominguez-Oviedo, Agustin
1 Dryło, Robert
1 Farashahi, Reza Rezaeian
1 Farmer, David W.
1 Farshim, Pooya
1 Faugère, Jean-Charles
1 Flori, Jean-Pierre
1 Fomenko, Oleg Mstislavovich
1 Freeman, David Mandell
1 Freitas, Nuno
1 Fu, Fangwei
1 Fukaya, Takako
1 Galbraith, Steven D.
1 Gezmiş, Oğuz
1 Ghitza, Alexandru
1 Gräf, Peter Mathias
1 Granger, Robert A.
1 Green, Nathan
1 Grushevsky, Samuel
1 Gürel, Nicolas
1 Gustavsen, Trond Stølen
1 Han, Jingxuan
1 Hasan, M. Anwar
...and 113 more Authors
all top 5

Cited in 59 Serials

14 Journal of Number Theory
8 Finite Fields and their Applications
7 Mathematics of Computation
6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Proceedings of the Japan Academy. Series A
5 International Journal of Number Theory
4 Mathematische Annalen
4 Theoretical Computer Science
4 Journal of Symbolic Computation
4 Applicable Algebra in Engineering, Communication and Computing
4 LMS Journal of Computation and Mathematics
3 Journal of Algebra
3 Journal of the Mathematical Society of Japan
3 Mathematische Zeitschrift
3 Osaka Journal of Mathematics
3 Journal of Complexity
3 Journal of Cryptology
3 Experimental Mathematics
3 Journal de Théorie des Nombres de Bordeaux
3 Selecta Mathematica. New Series
3 Foundations of Computational Mathematics
3 Journal of Mathematical Cryptology
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 International Journal of Mathematics
2 Designs, Codes and Cryptography
2 Journal of Mathematical Sciences (New York)
2 The Ramanujan Journal
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Prikladnaya Diskretnaya Matematika
1 Computers & Mathematics with Applications
1 Information Processing Letters
1 Rocky Mountain Journal of Mathematics
1 Acta Arithmetica
1 Archiv der Mathematik
1 Inventiones Mathematicae
1 Journal of Pure and Applied Algebra
1 Kodai Mathematical Journal
1 Manuscripta Mathematica
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Tohoku Mathematical Journal. Second Series
1 Algorithmica
1 Forum Mathematicum
1 Stochastic Processes and their Applications
1 Fractals
1 Documenta Mathematica
1 Abstract and Applied Analysis
1 Soft Computing
1 Discrete Dynamics in Nature and Society
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Acta Mathematica Sinica. English Series
1 Involve
1 Kyoto Journal of Mathematics
1 JSIAM Letters
1 Annales Mathématiques du Québec
1 Research in the Mathematical Sciences
1 Research in Number Theory
1 SIAM Journal on Applied Algebra and Geometry
1 Matematicheskie Voprosy Kriptografii

Citations by Year