Dr. Shuichi HAYASHIDA

日本語 english
Address :
Department of Mathematics,
Joetsu University of Education
1 Yamayashikimachi, Joetsu, Niigata 943-8512, JAPAN

Status:
Associate Professor

mail Address

My research area is number theory, especially I am interested in
automorphic forms, Jacobi forms and automorphic L-functions.


Workshop
[1]   February 2 - 6, 2016
        RIMS Workshop "Automorphic Forms, Automorphic L-functions and Related Topics"
  at Research Insitute for Mathematical Science, 4th floor 420
  Organizer: Shuichi Hayashida (Joetsu Univ. of Edu.), Co-Organizer: Shoyu Nagaoka (Kinki Univ.)




Last modified Feb. 18, 2016


Publications:

[10] S. Hayashida: Lifting from two elliptic modular forms to Siegel modular forms of half-integral weight of even degree,
       Documenta Mathematica, Vol. 21, (2016) 125--196. pdf

[9] S. Hayashida: On the spinor L-function of Miyawaki-Ikeda lifts,
      Int. J. Number Theory, Vol. 10 no. 2 (2014) 297-307. pdf

[8] S. Hayashida: On generalized Maass relations and their application to Miyawaki-Ikeda lifts,
      Comment. Math. Univ. St. Pauli, Vol. 62 no.1 (2013) 59-90. pdf

[7] S. Hayashida: Fourier-Jacobi expansion and the Ikeda lift,
      Abh. Math. Sem. Univ. Hamburg, Vol. 81 no.1 (2011) 1-17. pdf

[6] K. Bringmann and S. Hayashida: A converse theorem for Hilbert-Jacobi forms, 
      Rocky Mt. J. Math, Vol. 39 no.2 (2009) 423-435. pdf

[5] S. Hayashida : Skew-Holomorphic Jacobi Forms of Higher Degree,
      Automorphic Forms and Zeta Functions - in Memory of Tsuneo Arakawa, World Scientific (2006). 130-139.

[4] S. Hayashida and T. Ibukiyama: Siegel modular forms of half integral weights and a lifting conjecture,
     
Journal of Kyoto Univ, vol. 45 no.3 (2005) 489-530.

[3] S. Hayashida:  Skew-holomorphic Jacobi forms of index 1 and Siegel modular forms of half integral weight.  
      Journal of Number Theory, vol. 106 no.2 (2004) 200-218.  pdf

[2] S. Hayashida:  Klingen type Eisenstein series of skew holomorphic Jacobi forms.  
      Comment. Math. Univ. St. Pauli, vol. 52 no.2 (2003) 219-228.  pdf

[1] S. Hayashida:  Zeta function and Zharkovskaya's theorem on Siegel modular forms of half-integral weight.  
      Acta Arithmetica, vol. 108 no.4 (2003) 391-399.  pdf




Preprints:

[13] S. Hayashida: Generalized Maass relation and lifts,
        Proceeding of The RIMS conference on "Modular forms and automorphic representations", November 2015.

[12] S. Hayashida: On Kohnen plus-space of Jacobi forms of half integral weight of matrix index.
       preprint. (28 pages) submitted.

[11] S. Hayashida: A Maass relation for generalized Cohen-Eisenstein series of degree two and of degree three,
       preprint. (57 pages, a restricted version of [12]) pdf  arXiv

[10] S. Hayashida: Lifts from two elliptic modular forms to Siegel modular forms of half-integral weight,
       Proceeding of The 19th Number theory Summer School, September 2011. pdf (Japanese)

[9] S. Hayashida: Lifting to Siegel modular forms of half-integral weight of degree two,
      Proceeding The 56th Algebra Symposium, August 2011. pdf (Japanese)

[8] S. Hayashida: Lifting of pairs of elliptic modular forms to Siegel modular forms of half-integral weight of degree two,
      Proceeding of The RIMS conference on "Automorphic forms, trace formulas and zeta functions", January 2011. pdf

[7] H. Boylan, S. Hayashida and N.-P. Skoruppa: Jacobi forms over Q(\sqrt(5)), in preparation.

[6] S. Hayashida, H. Kawamura and N.-P. Skoruppa: Linear correspondence between Jacobi forms of
      integral weight and Siegel modular forms of half-integral weight, in preparation.

[5] S. Hayashida and N.-P. Skoruppa:  Explicit constructions of Jacobi forms of degree 1, in preparation.

[4] S. Hayashida:  Skew holomorphic Jacobi forms of general degree. (Japanese)
      Suurikaiseki-kennkyujyo koukyuroku 1338 (2003) pp. 15-24.

[3] S. Hayashida and T. Ibukiyama:  A lifting conjecture on Siegel modular forms of half integral weights.  
      Proceedings of Japanese-German Seminar, Explicit Structures of Modular Forms and Zeta Functions, Hakuba 2001 pp. 80-89.

[2] S. Hayashida and T. Ibukiyama:  Siegel modular forms of half integral weights and a lifting conjecture (in Japanese).  
      Suurikaiseki-kennkyujyo koukyuroku 1173 (2000) pp. 98-112.

[1] S. Hayashida:  Siegel modular forms of half integral weights and the plus space (in Japanese). 
      Algebra and Calculation(AC99) Electronic publication (2000) 10 pages.




Workshops:


[5]  November 6 - 10, 2015
        The 18th Hakuba Autumn Workshop on Number Theory
        "Geometrical Applications of Modular forms of Several Variables"
        at Hakuba Highmount Hotel
        Organizers: Hiroki Aoki (Tokyo Univ. of Sci.), Hiroshi Sakata (Waseda Univ. Senior High.), Shuichi Hayashida (Joetsu Univ. of Edu.)

[4]  June 6 - 7, 2015
        Workshop on Algebra  in Niigata
        at Niigata University, A128 seminar room

[3]   February 2 - 6, 2015
        RIMS Workshop " Modular Forms and Automorphic Representations"
  at Research Insitute for Mathematical Science, 4th floor 420
  Organizer: Hiroaki Narita (Kumamoto Univ.), Co-Organizer: Shuichi Hayashida (Joetsu Univ. of Edu.)

[2]  November 5 - 9, 2014
       The 17th Hakuba Autumn Workshop on Number Theory
      "Explicit Theory of Jacobi Forms and Modular Forms of Several Variables"
       at Hakuba Highmount Hotel
    Organizers: Hiroki Aoki (Tokyo Univ. of Sci.), Hiroshi Sakata (Waseda Univ. Senior High.), Shuichi Hayashida (Joetsu Univ. of Edu.)

[1]   June 11-12, 2013
       "Workshop on Modular Forms and Jacobi Forms"
        at Joetsu University of Education



Link:

Mathematics Department  Joetsu University of Education

Osaka University G30 Chemistry-Biology Combined Major Program

Department of Mathematics Osaka University

Universitšt Siegen.

Fachbereich 6, Mathematik

Algebra and Number Theory in Siegen Uni.