Takeshi OGASAWARA

Department of Mathematics and Statistics, Premedical Sciences

Dokkyo Medical University,

880 Kitakobayashi, Mibu, Shimotsuga, Tochigi, 321-0293, JAPAN

Email: t-ogswr `at' dokkyomed.ac.jp


Research Interests

Algebraic number theory, Automorphic forms


Thesis

A study on elliptic modular forms of weight one, March, 2012, Kyushu University


Refereed Papers

  1. T. Ogasawara, An eigenform of weight one expressed by meromorphic η-quotients. The Ramanujan Journal, Vol. 27, no. 1 (Jan., 2012), 89--99.
  2. T. Ogasawara, Octahedral newforms of weight one associated to three division points of elliptic curves. Functiones et Approximatio, Commentarii Mathematici, Vol. 49, no. 1 (Sep., 2013), 103--109. Adam Mickiewicz University.
  3. T. Ogasawara, Appendix in F. Amano, H. Kodani, M. Morishita, T. Sakamoto, and T. Yoshida, Redei's triple symbols and modular forms, with an appendix by T. Ogasawara, Tokyo Journal of Mathematics, Vol. 36, no. 2 (Dec., 2013), 405--427.
  4. T. Ogasawara, A certain eta-quotient and the class number of an imaginary quadratic field. International Journal of Number Theory, Vol. 10, no. 6 (Sep., 2014), 1485--1499.
  5. T. Ogasawara, On Hecke modules generated by eta-products and imaginary quadratic fields. Proceedings of the American Mathematical Society, Vol. 145, no.1 (Jan., 2017), 23--37.
  6. T. Ogasawara, Some expressions for binary theta series by eta-quotients and their applications. Journal of Number Theory, Vol. 186 (May, 2018), 493--509.


Talks at International Conference

  1. Eta-quotients and class numbers of imaginary quadratic fields, 26th Automorphic Forms Workshop, University of British Columbia, Vancouver, Canada, April, 2012.
  2. Eta-quotients of weight one and ideal class groups of imaginary quadratic fields, Workshop on Modular Forms, Kyushu University, May, 2012.
  3. On Hecke modules generated by eta-quotients of weight one, Modular functions and Quadratic forms -- Number theoretic delights, Osaka University Nakanoshima Center, December 21 (Sat) -- December 23 (Mon), 2013.