Satoh, Takakazu

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 Author ID: 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
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Co-Authors

 18 single-authored 4 Araki, Kiyomichi 2 Agrawal, Manindra 2 Aono, Yoshinori 2 Taguchi, Yuichiro 2 Watanabe, Osamu 1 Bisson, Gaetan 1 Böcherer, Siegfried 1 Freeman, David Mandell 1 Kurokawa, Nobushige 1 Miura, Shinji 1 Skjernaa, Berit 1 Uchino, Yukiko 1 Yaguchi, Takaharu 1 Yamazaki, Tadashi
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Serials

 4 Mathematische Annalen 3 Commentarii Mathematici Universitatis Sancti Pauli 3 Proceedings of the Japan Academy. Series A 2 Finite Fields and their Applications 1 Discrete Applied Mathematics 1 Compositio Mathematica 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Journal of the Ramanujan Mathematical Society 1 Japan Journal of Industrial and Applied Mathematics 1 Applicable Algebra in Engineering, Communication and Computing 1 Experimental Mathematics 1 RIMS Kokyuroku 1 LMS Journal of Computation and Mathematics
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Fields

 28 Number theory (11-XX) 8 Information and communication theory, circuits (94-XX) 5 Algebraic geometry (14-XX) 2 Computer science (68-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX)

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
2000
On certain vector valued Siegel modular forms of degree two. Zbl 0571.10028
Satoh, Takakazu
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
1992
Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves. Zbl 1044.11591
Satoh, Takakazu; Araki, Kiyomichi
1998
Some remarks on triple L-functions. Zbl 0607.10020
Satoh, Takakazu
1987
Fast computation of canonical lifts of elliptic curves and its application to point counting. Zbl 1106.14302
Satoh, Takakazu; Skjernaa, Berit; Taguchi, Yuichiro
2003
Function field modular forms and higher derivations. Zbl 1155.11329
Uchino, Yukiko; Satoh, Takakazu
1998
Constructing pairing-friendly hyperelliptic curves using Weil restriction. Zbl 1245.11075
Freeman, David Mandell; Satoh, Takakazu
2011
On $$p$$-adic point counting algorithms for elliptic curves over finite fields. Zbl 1058.11043
Satoh, Takakazu
2002
Generating genus two hyperelliptic curves over large characteristic finite fields. Zbl 1239.94065
Satoh, Takakazu
2009
Jacobi forms and certain special values of Dirichlet series associated to modular forms. Zbl 0662.10019
Satoh, Takakazu
1989
Overview of elliptic curve cryptography. Zbl 0915.94003
Araki, Kiyomichi; Satoh, Takakazu; Miura, Shinji
1998
On polynomial interpolations related to Verheul homomorphisms. Zbl 1162.11058
Satoh, Takakazu
2006
On degrees of polynomial interpolations related to elliptic curve cryptography. Zbl 1151.94567
Satoh, Takakazu
2006
On the optimality of lattices for the Coppersmith technique. Zbl 1401.94136
Aono, Yoshinori; Agrawal, Manindra; Satoh, Takakazu; Watanabe, Osamu
2018
On pairing inversion problems. Zbl 1151.94568
Satoh, Takakazu
2007
Wiener measures on certain Banach spaces over non-Archimedean local fields. Zbl 0811.60007
Satoh, Takakazu
1994
Construction of certain vector valued Siegel modular forms of degree two. Zbl 0571.10027
Satoh, Takakazu
1985
Generalized division polynomials. Zbl 1064.11044
Satoh, Takakazu
2004
On the optimality of lattices for the Coppersmith technique. Zbl 1308.94058
Aono, Yoshinori; Agrawal, Manindra; Satoh, Takakazu; Watanabe, Osamu
2012
More discriminants with the Brezing-Weng method. Zbl 1203.94094
Bisson, Gaetan; Satoh, Takakazu
2008
On differential operators and congruences for Siegel modular forms of degree two. Zbl 0571.10026
Satoh, Takakazu
1984
Closed formulae for the Weil pairing inversion. Zbl 1175.11028
Satoh, Takakazu
2008
Euclid prime sequences over unique factorization domains. Zbl 1216.11107
Kurokawa, Nobushige; Satoh, Takakazu
2008
Computing zeta functions for ordinary formal groups over finite fields. Zbl 1040.11089
Satoh, Takakazu; Taguchi, Yuichiro
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.
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.
2019
On the optimality of lattices for the Coppersmith technique. Zbl 1401.94136
Aono, Yoshinori; Agrawal, Manindra; Satoh, Takakazu; Watanabe, Osamu
2018
On the optimality of lattices for the Coppersmith technique. Zbl 1308.94058
Aono, Yoshinori; Agrawal, Manindra; Satoh, Takakazu; Watanabe, Osamu
2012
Constructing pairing-friendly hyperelliptic curves using Weil restriction. Zbl 1245.11075
Freeman, David Mandell; Satoh, Takakazu
2011
Generating genus two hyperelliptic curves over large characteristic finite fields. Zbl 1239.94065
Satoh, Takakazu
2009
More discriminants with the Brezing-Weng method. Zbl 1203.94094
Bisson, Gaetan; Satoh, Takakazu
2008
Closed formulae for the Weil pairing inversion. Zbl 1175.11028
Satoh, Takakazu
2008
Euclid prime sequences over unique factorization domains. Zbl 1216.11107
Kurokawa, Nobushige; Satoh, Takakazu
2008
On pairing inversion problems. Zbl 1151.94568
Satoh, Takakazu
2007
On polynomial interpolations related to Verheul homomorphisms. Zbl 1162.11058
Satoh, Takakazu
2006
On degrees of polynomial interpolations related to elliptic curve cryptography. Zbl 1151.94567
Satoh, Takakazu
2006
Generalized division polynomials. Zbl 1064.11044
Satoh, Takakazu
2004
Fast computation of canonical lifts of elliptic curves and its application to point counting. Zbl 1106.14302
Satoh, Takakazu; Skjernaa, Berit; Taguchi, Yuichiro
2003
Computing zeta functions for ordinary formal groups over finite fields. Zbl 1040.11089
Satoh, Takakazu; Taguchi, Yuichiro
2003
On $$p$$-adic point counting algorithms for elliptic curves over finite fields. Zbl 1058.11043
Satoh, Takakazu
2002
The canonical lift of an ordinary elliptic curve over a finite field and its point counting. Zbl 1009.11051
Satoh, Takakazu
2000
Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves. Zbl 1044.11591
Satoh, Takakazu; Araki, Kiyomichi
1998
Function field modular forms and higher derivations. Zbl 1155.11329
Uchino, Yukiko; Satoh, Takakazu
1998
Overview of elliptic curve cryptography. Zbl 0915.94003
Araki, Kiyomichi; Satoh, Takakazu; Miura, Shinji
1998
Wiener measures on certain Banach spaces over non-Archimedean local fields. Zbl 0811.60007
Satoh, Takakazu
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
1992
Jacobi forms and certain special values of Dirichlet series associated to modular forms. Zbl 0662.10019
Satoh, Takakazu
1989
Some remarks on triple L-functions. Zbl 0607.10020
Satoh, Takakazu
1987
On certain vector valued Siegel modular forms of degree two. Zbl 0571.10028
Satoh, Takakazu
1986
Construction of certain vector valued Siegel modular forms of degree two. Zbl 0571.10027
Satoh, Takakazu
1985
On differential operators and congruences for Siegel modular forms of degree two. Zbl 0571.10026
Satoh, Takakazu
1984
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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
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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
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Cited in 20 Fields

 129 Number theory (11-XX) 54 Algebraic geometry (14-XX) 44 Information and communication theory, circuits (94-XX) 8 Computer science (68-XX) 4 Commutative algebra (13-XX) 3 Special functions (33-XX) 2 Field theory and polynomials (12-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)