Faculty Information - Tsuyoshi ITOH

Office

Academic background

Present specialized field

Works

（Last updated : 2025-10-08 10:34:24）

Tsuyoshi ITOH
Center for Education (Faculty of Innovative Management Science), Faculty of Innovative Management Science

Professor

■ Office

Shin-Narashino Campus, No.2 Building,6th floor mathematics 9th laboratory

■ Academic background

1998/04～2001/03

〔Doctorial Course〕, Accomplished credits for doctoral program

■ Present specialized field

Algebra

■ Works

1.	Article	Class number behavior in a two-tiered tower of Z_p-extensions International Journal of Number Theory 21(7),pp.1547-1565 (Single) 2025/08
2.	Article	On the unramified Iwasawa module of a Z_p-extension generated by division points of a CM elliptic curve Rivista di Matematica della Università di Parma 14(1),pp.153-171 (Single) 2023/09
3.	Article	On q-ramified abelian 3-extensions over the initial layer of the anti-cyclotomic Z₃-extension of an imaginary quadratic field Journal of the Ramanujan Mathematical Society 36(3),pp.251-260 (Single) 2021/09
4.	Article	On the structure of the Galois group of the maximal pro-p extension with restricted ramification over the cyclotomic Z_p-extension Tokyo Journal of Mathematics 43,pp.181-204 (Single) 2020/06
5.	Article	Some remarks on pseudo-null submodules of tamely ramified Iwasawa modules Journal de Théorie des Nombres de Bordeaux 30(2),pp.533-555 (Collaboration) 2018
6.	Article	Tamely ramified Iwasawa modules having no non-trivial pseudo-null submodules Journal de Théorie des Nombres de Bordeaux 30(3),pp.859-872 (Single) 2018
7.	Article	On tamely ramified Iwasawa modules for Z_p-extensions of imaginary quadratic fields Tokyo J. Math. 37,pp.405-431 (Collaboration) 2014/12
8.	Article	On the Z_p-ranks of tamely ramified Iwasawa modules Int. J. Number Theory 9,pp.1491-1503 (Collaboration) 2013
9.	Article	On multiple Z_p-extensions of imaginary abelian quartic fields J. Number Theory 131,pp.59-66 (Single) 2011
10.	Article	Remark on elliptic units in a Z_p-extension of an imaginary quadratic field Proc. Amer. Math. Soc. 137,pp.473-478 (Single) 2009
11.	Article	Unramified extensions and geometric Z_p-extensions of global function fields RIMS K\^oky\^uroku Bessatsu B12,pp.173--182 (Single) 2009
12.	Article	On the group of modular units and the ideal class group J. Number Theory 123,pp.193-203 (Collaboration) 2007
13.	Article	Pseudo-null Iwasawa modules for Z₂²-extensions Tokyo J. Math. 30,pp.199-209 (Single) 2007
14.	Article	Some questions on the ideal class group of imaginary abelian fields Math. J. Okayama Univ. 49,pp.185-196 (Single) 2007
15.	Article	On the Iwasawa invariants of certain non-cyclotomic Z₂-extensions Manuscripta Math. 118,pp.227-233 (Collaboration) 2005
16.	Article	A computation of minimal polynomials of special values of Siegel modular functions Math. Comp. 72,pp.969-973 (Single) 2003
17.	Article	On the Iwasawa \mu-invariant of the cyclotomic Z_p-extension of certain quartic fields Galois theory and modular forms (Dev. Math., 11) pp.315-325 (Single) 2003
18.	Article	On the Stark-Shintani units and the ideal class groups in the cyclotomic Z_p-extensions of class fields over real quadratic fields Acta. Arith. 102,pp.21-26 (Single) 2002
19.	Article	On a unit group generated by special values of Siegel modular functions. II Proc. Japan Acad., Ser. A, Math. Sci. 75,pp.194-197 (Collaboration) 1999
20.	Article	A construction of normal bases over the Hilbert p-class field of imaginary quadratic fields Proc. Japan Acad., Ser. A, Math. Sci. 74,pp.25-28 (Single) 1998
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