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