Publication List of Takaaki KAGAWA

Thesis

Elliptic curves with everywhere good reduction over real quadratic fields (dvi ps pdf)

Papers

  1. Torsion groups of elliptic curves with everywhere good reducion over quadratic fields, International Journal of Algebra 10 (2016), 461-467.
  2. The Diohphantine eqation X3=u+v over real quadratic fields, Bulletin of the Plolish Academy of Sceiences Mathematis> 59 (2011), 1-9
  3. The Diohphantine eqation X3=u+27v over real quadratic fields, Tokyo J. Math. 33 (2010), 159-163
  4. Elliptic curves over $Q(\sqrt2)$ with good reduction outside $\sqrt2$, Mem. Inst. Sci. Engrg. Ritsumeikan Univ. No. 59, (2000), 63--79 (2001).
  5. Determination of elliptic curves with everywhere good reduction over real quadratic fields $Q(\sqrt{3p})$, Acta Arith. 96 (2001), 231-245.
  6. Nonexistence of elliptic curves having everywhere good reduction and cubic discriminant, Proc. Japan Acad., Ser. A 76 (2000), 141-142.
  7. Determination of elliptic curves with everywhere good reduction over real quadratic fields. Arch. Math., 73 (1999), 25-32.
  8. Squares in Lucas sequences and some Diophantine equations (with Nobuhiro Terai),Manuscripta Math. 96 (1998), 195-202.
  9. Determination of elliptic curves with everywhere good reduction over $Q(\sqrt{37})$, Acta Arith. 83 (1998), 253-269.
  10. Nonexistence of elliptic curves with good reduction everywhere over real quadratic fields (with Masanari Kida), J. Number Theory 66 (1997), 201-210.
  11. The Hasse norm principle for the maximal real subfields of cyclotomic fields, Tokyo J. Math. 18 (1995), 221-229.
Preprint

No paper is a good news?

Talks
  1. The Diophantine equation X^3=u+v, Symposim of Number Theory (@ Sci. and Eng. Waseda Univ.) Slides for the talk
  2. The Diophantine equation X^3=u+27v over real quadratic fields, Matsue Number Theory Symposium @ Shimane Univ.
  3. Computation of integral points over an real quadratic fields, and determitation of elliptic curves with everywhere good reduction, Symposium of Number Theory (@Sci. and Eng. Waseda University)
  4. Elliptic curves with everywhere good reduction over real quadratic fields, symposium "Algebra and Computational Number Theory" (@Tokyo Metroporitain University)
  5. Determination of elliptic curves with everywhere good reduction over certain real quadratic fields, syposium "Algebraic number fields and related topics (@Kyoto Univ.).
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