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For unpublished preprint(s), click here.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
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