List of papers (with errata/addenda/comments) by Takakazu Satoh
For unpublished preprint(s), click here.

NOTE: The errata/addenda/comments are not meant to be complete.

• Generating Genus Two Hyperelliptic Curves over Large Characteristic Finite Fields, Advances in Cryptology - EUROCRYPT 2009, Lect. Notes in Comput. Sci., 5479(2009) 536-553.
• [with G. Bisson] More discriminants with the Berzing-Weng method, Progress in cryptology - Indocrypt 2008 Lect. Notes in Comput. Sci., 5365(2008) 389-399.
• [with N. Kurokawa] Euclid prime sequences over unique factorization domains, Exp. Math. 17(2008) 145-152.
• Closed formulae for the Weil pairing inversion, Finite fields and their appl. 14(2008), 743-765.
• On pairing inversion problems, Pairing Conference 2007, Lect. Notes in Comput. Sci. 4575(2007), 317-328.
• On degrees of polynomial interpolations releated to elliptic curves, International workshop, WCC 2005, Bergen, Norway, March 2005, Revised and selected papers, Lect. Notes Comput. Sci. 3969(2006), 155-163.
• On polynomial interpolations related to Verheul homomorphisms. LMS J. Comput. Math. 9(2006) 135-158.
• Generalized division polynomials. Mathematica Scandinavica 94(2004), 161-184.
• [With Y. Taguchi] Computing zeta functions for ordinary formal groups over finite fields. Discr. Appl. Math. 130(2003), 51-60
• [With B. Skjernaa and Y. Taguchi] Fast computation of canonical lifts of elliptic curves and its application to point counting. Finite Fields and Their Applications, 9(2003), 89-101.
• On p-adic point counting algorithms for elliptic curves over finite fields. in Algorithmic number theory, 5th international symposium, ANTS-V, Sydney, Australia, July 7-12. eds.: C. Fieker, D. R. Kohel, Lect. Notes in Comput. Sci. Vol. 2369(2002), 43-66, Springer.
• The canonical lift of an ordinary elliptic curve over a finite field and its point counting. J. Ramanujan Math. Soc. 15, 247-270 (2000). MR 2001j:11049
• [With K. Araki and S. Miura: Survey article] Overview of elliptic curve crptography in Public Key Cryptography - PKC98 proceedings, eds: H. Imai, Y. Zheng, Lect. Notes in Computer Science Vol.1431(1998), 29-49, Springer-Verlag.
• [With Y. Uchino] Function field modular forms and higher derivations, Math. Ann. 311, 439-466 (1998). MR 99j:11044
• [With K. Araki] Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves. Commentarii Math. Univ. St. Pauli, 47, 81-92, (1998). MR 98e:11083
• On duality over a certain divided power algebra with positive characteristic. Manuscr. Math., 92, 153-172, (1997). MR 98d:16055
• [with K. Araki] On construction of signature scheme over a certain non-commutative ring, Institue of Electronics, Information and Communication Engineers, transaction of Fundamentals of Electronics, Communications, and Computer Sciences. E80-A, 40-45 (1997).
• Wiener measures on certain Banach spaces over non-Archimedean local fields. Compositio Math. 93, 81-108 (1994). MR 95h:46125
• [with S. Böcherer and T. Yamazaki] On the pullback of a differential operator and its application to vector valued Eisenstein series. Commentarii Math. Univ. St. Pauli. 41, 1-22 (1992). MR 93e:11062
• Jacobi forms and certain special values of Dirichlet series associated to modular forms. Math. Ann. 285, 463-480 (1989). MR 90k:11065
• Vector valued modular forms of degree two and their application to triple L-functions. in: Advanced studies in Pure Math., 15, 89-97, Automorphic forms and geometry of arithmetic varieties (1989). MR 91b:11064
• Some remarks on triple L-functions. Math. Ann., 276, 687-698 (1987). MR 88i:11030
• On certain vector valued Siegel modular forms of degree two. Math. Ann., 274, 335-352 (1986). MR 87h:11041
• Differential operators and congruences for Siegel modular forms of degree two. J. Math. Soc. Japan., 38, 127-146 (1986). MR 86f:11036