Dr. Shuichi HAYASHIDA
Address :
Department of Mathematics,
Joetsu University of Education
1 Yamayashikimachi, Joetsu, Niigata 943-8512, JAPAN
mail Address
My research area is number theory, especially I am
interested in
automorphic forms, Jacobi forms and automorphic L-functions.
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Last modified April 11, 2024
Publications:
[14] S. Hayashida and Y. Mizuno : Petersson norms of
Jacobi-Eisenstein series and Gross-Kohnen-Zagier's formula,
submitted.
[13] S. Hayashida: Rankin-Selberg method for Jacobi forms of
integral weight and of half-integral weight on symplectic groups,
Kyushu Journal of Mathematcs,
Vol. 73 no. 2 (2019) 391--415. pdf
[12] S. Hayashida: A certain Dirichlet series of Rankin-Selberg type
associated with the Ikeda lift of half-integral weight,
Mathematika, Vol. 65, (2019)
897--928. pdf
[11] S. Hayashida: On Kohnen plus-space of Jacobi forms of half
integral weight of matrix index,
Osaka Journal of Mathematics Vol.
55, (2018) 499--522. pdf
[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
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
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
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. pdf
[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. pdf
[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
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
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
pdf
Preprints:
[12] S. Hayashida: Generalized Maass relation and lifts,
Proceeding of The RIMS
conference on "Modular forms and automorphic representations",
November 2015.
[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:
[6] 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.)
[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
Chemistry-Biology Combined Major Program
Osaka University
Department
of Mathematics Osaka University
Algebra and Number Theory Mathematik
Faklutät IV Universität
Siegen.
