## 論文

- On the difference between the ordinary height
and the canonical height on elliptic curves,
Proc. Japan Acad. Ser. A Math. Sci.
82, no. 3, 56-60, (2006).
- The difference between the ordinary height
and the canonical height on elliptic curves,
J. Number Theory
128, 263-279, (2008).
- Division polynomials and canonical local heights
on hyperelliptic Jacobians,
Manuscripta Math.
134, 273-308, (2011).
- Valuations of Somos 4 sequences and
canonical local heights on elliptic curves,
Math. Proc. Cambridge Philos. Soc.
150, 385-397, (2011).
- Canonical local heights and multiplication
formulas for the Jacobians of curves of genus 2,
Acta Arith.
149, 111-130, (2011).
- (with Shigenori Uchiyama) The Tate-Lichtenbaum pairing
on a hyperelliptic curve via hyperelliptic nets,
Pairing-Based Cryptography - Pairing 2012, 218-233,
Lecture Notes in Comput. Sci., 7708, Springer, Berlin, 2013.
- (with Junichi Yarimizu and Shigenori Uchiyama)
The elliptic curve Diffie-Hellman problem and an
equivalent hard problem for elliptic divisibility sequences,
JSIAM Lett.
6, 5-7, (2014).
- (with Akihiko Onishi and Shigenori Uchiyama)
A small secret exponent attack on cryptosystems
using Dickson polynomials,
JSIAM Lett.
7, 41-43, (2015).
- 超楕円Jacobi多様体のMordell-Weil群の計算,
日本応用数理学会論文誌 25, 229-253, (2015).
- Counting points on hyperelliptic curves of genus 2 with real models,
JSIAM Lett.
11, 1-4, (2019).
- (with Masanori Sawa) Discriminants of classical quasi-orthogonal
polynomials with application to Diophantine equations,
J. Math. Soc. Japan
71, 831-860, (2019).
- (with Masanori Sawa) Algebro-geometric aspects of the
Christoffel-Darboux kernels for classical orthogonal polynomials,
Trans. Amer. Math. Soc.
373, 1243-1264, (2020).
- (with Yasuhiro Ishitsuka, Tetsushi Ito, Tatsuya Ohshita, and Takashi Taniguchi)
The local-global property for bitangents of plane quartics,
JSIAM Lett.
12, 41-44, (2020).

## プレプリント

- (with Hiro-o Tokunaga) A remark on a Nagell-Lutz type statement for
the Jacobian of a curve of genus 2 and a (2, 3, 6) quasi-torus
decomposition of a sextic with 9 cusps,
arXiv:1808.10187.
- (with Yasuhiro Ishitsuka, Tetsushi Ito, Tatsuya Ohshita, and Takashi Taniguchi)
Periods modulo
*p* of integer sequences associated with division polynomials of genus 2 curves,
arXiv:2310.01013.

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