Nagaoka Shoyu

ナガオカショウユウ | Nagaoka Shoyu

Research field (1)： Algebra

Research keywords (2)：多変数保型形式論 , Automorphic Forms of Several Complex Variables

Research theme for competitive and other funds (12)：

2009 - 2014 Explicit study of arithmetic structures of automorphic forms of several variables and trace formulas
2008 - 2010 Geometry of modular varieties and congruence, P-adic theory of Siegel modular forms
2005 - 2008 Explicit Study of Automorphic Forms of Several Variables and Algebraic and Geometric Invariants
2004 - 2006 Researches of finite geometries and functions over finite fields
2000 - 2002 STUDY OF SEMIGROUPS OF SETS OF VALUATIONS DEFINED BY EXCEPTIONAL COMPONENTS

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Papers (48)：

Shoyu Nagaoka. Congruence relations satisfied by quaternionic modular forms. The Ramanujan Journal. 2023. 61. 3. 799-811
Hidenori Katsurada, Shoyu Nagaoka. On p-adic Siegel Eisenstein series. Journal of Number Theory. 2023. 251. 3-30
Shoyu Nagaoka. On p-divisibility of Fourier coefficients of Siegel modular forms. The Ramanujan Journal of Mathematics. 2023
Shoyu Nagaoka. Residue of some Eisenstein series. Indian Journal of Pure and Applied Mathemtaics. 2023
Shoyu Nagaoka. Notes on theta series for Niemeier lattices II. The Ramanujan Journal. 2020. 55. 1. 327-335

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MISC (15)：

Shoyu Nagaoka. The wonder of prime number 23: relationship with the Fourier coefficients of modular forms. Far East Journal of Mathematical Sciences. 2023. 140. 2. 119-132
Shoyu Nagaoka. Book review: Analytische Zahlen Theorie I,II: Carl Siegel, translated by Koji Katayama. Mathematics. 2022. 74. 4. 426-430
BOCHERER BIEGFRIED, KODAMA HIROTAKA, NAGAOKA SHOYU. EXAMPLES OF SIEGEL MODULAR FORMS IN THE KERNEL OF THE THETA OPERATOR MOD p (保型形式・保型的L関数とその周辺). 数理解析研究所講究録. 2017. 2036. 92-99
NAGAOKA Shoyu. Jordan algebra. Mathematical Seminar. 2015. 54. 12. 24-27
(Department of Science) A congruence relation satisfied by Siegel cusp form of odd weight. 2013. 49. 9-15

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Books (4)：

Lectures and oral presentations (11)：

On theta series for Niemeier lattices
(Polynomial invariants in discrete structures 2023)
Theta operator for modular forms
(Invariant theory, automorphic forms and geometry 2019)
Theta operator for modular forms
(56th ABKLS on Automorphic Forms 2019)
On the kernel of the theta operator mod p
(2017)
On the mod p kernel of the theta operator and Eisenstein series
(2016)

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Education (5)：

Professional career (1)：

Work history (5)：

Committee career (1)：

Association Membership(s) (1)：

日本数学会

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