Dr. Shuichi HAYASHIDA
Address :
Department of Mathematics,
Joetsu University of Education
1 Yamayashikimachi, Joetsu, Niigata 9438512, JAPAN
mail Address
My research area is number theory, especially I am
interested in
automorphic forms, Jacobi forms and automorphic Lfunctions.


Last modified June 2, 2021
Publications:
[14] S. Hayashida and Y. Mizuno : Petersson norms of
JacobiEisenstein series and GrossKohnenZagier's formula,
submitted.
[13] S. Hayashida: RankinSelberg method for Jacobi forms of
integral weight and of halfintegral weight on symplectic groups,
Kyushu Journal of Mathematcs,
Vol. 73 no. 2 (2019) 391415. pdf
[12] S. Hayashida: A certain Dirichlet series of RankinSelberg type
associated with the Ikeda lift of halfintegral weight,
Mathematika, Vol. 65, (2019)
897928. pdf
[11] S. Hayashida: On Kohnen plusspace of Jacobi forms of half
integral weight of matrix index,
Osaka Journal of Mathematics Vol.
55, (2018) 499522. pdf
[10] S. Hayashida: Lifting from two elliptic modular forms to Siegel
modular forms of halfintegral weight of even degree,
Documenta
Mathematica, Vol. 21, (2016) 125196. pdf
[9] S. Hayashida: On the spinor Lfunction of MiyawakiIkeda lifts,
Int. J.
Number Theory, Vol. 10 no. 2 (2014) 297307. pdf
[8] S. Hayashida: On generalized Maass relations and their
application to MiyawakiIkeda lifts,
Comment. Math. Univ. St. Pauli,
Vol. 62 no.1 (2013) 5990. pdf
[7] S. Hayashida: FourierJacobi expansion and the Ikeda lift,
Abh. Math. Sem.
Univ. Hamburg, Vol. 81 no.1 (2011) 117. pdf
[6] K. Bringmann and S. Hayashida: A converse theorem for
HilbertJacobi forms,
Rocky
Mt. J. Math, Vol. 39 no.2 (2009) 423435. pdf
[5] S. Hayashida : SkewHolomorphic Jacobi Forms of Higher Degree,
Automorphic
Forms
and Zeta Functions  in Memory of Tsuneo Arakawa, World
Scientific (2006). 130139.
[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) 489530.
[3] S. Hayashida: Skewholomorphic Jacobi forms of index 1 and
Siegel modular forms of half integral weight.
Journal of Number Theory,
vol. 106 no.2 (2004) 200218. pdf
[2] S. Hayashida: Klingen type Eisenstein series of skew
holomorphic Jacobi forms.
Comment. Math. Univ. St. Pauli,
vol. 52 no.2 (2003) 219228. pdf
[1] S. Hayashida: Zeta function and Zharkovskaya's theorem on
Siegel modular forms of halfintegral weight.
Acta Arithmetica, vol. 108 no.4 (2003)
391399. 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 CohenEisenstein
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 halfintegral weight,
Proceeding of The 19th Number
theory Summer School, September 2011. pdf (Japanese)
[9] S. Hayashida: Lifting to Siegel modular forms of halfintegral
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 halfintegral 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 halfintegral 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)
Suurikaisekikennkyujyo koukyuroku
1338 (2003) pp. 1524.
[3] S. Hayashida and T. Ibukiyama: A lifting conjecture on
Siegel modular forms of half integral weights.
Proceedings of JapaneseGerman
Seminar, Explicit Structures of Modular Forms and Zeta Functions,
Hakuba 2001 pp. 8089.
[2] S. Hayashida and T. Ibukiyama: Siegel modular forms of
half integral weights and a lifting conjecture (in Japanese).
Suurikaisekikennkyujyo koukyuroku
1173 (2000) pp. 98112.
[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 Lfunctions and Related
Topics"
at Research Insitute for Mathematical Science, 4th floor 420
Organizer: Shuichi Hayashida (Joetsu Univ. of Edu.),
CoOrganizer: 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.), CoOrganizer:
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 1112, 2013
"Workshop
on Modular Forms and Jacobi Forms"
at Joetsu University of Education
Link:
Mathematics
Department Joetsu University of Education
ChemistryBiology
Combined Major Program Osaka University
Department
of Mathematics Osaka University
Algebra and Number Theory Mathematik
Faklutät IV Universität
Siegen.