These preprints have not undergone peer review or any post-submission improvements or corrections. The Final versions of these articles are published in the following journals.

pdf files (preprints, errata)

[24] Greenberg's generalized conjecture and pairings of $p$-units in the $4p$-cyclotomic field (with N. Furuya and K. Kitano), Journal of the Ramanujan Mathematical Society, 39 (2024), 79-90

[23] On the class groups of certain real cyclic fields of $2$-power degree (with H. Ichimura), Journal of Mathematics, Tokushima University, 57 (2023), 31-62

[22] A generalized problem associated to the Kummer-Vandiver conjecture (online 2022, Nov. 7), Arnold Mathematical Journal, 9 (2023), 381-391

[21] On the $l$-part of the class groups of imaginary cyclic fields of conductor $p$ and degree $2l^n$ (with N. Furuya and K. Kitano), Journal of Mathematics, Tokushima University, 56 (2022), 1-10

[20] On the class groups of certain imaginary abelian fields of $2$-power degree (with H. Ichimura), Journal of the Mathematical Society of Japan, 74 (2022), 945-972

[19] On the class group of an imaginary cyclic field of conductor $8p$ and $2$-power degree
(with H. Ichimura), Tokyo Journal of Mathematics, 44 (2021), 157-173

[18] Normal integral basis of an unramified quadratic extension over a cyclotomic $\mathbf{Z}_2$-extension
(with H. Ichimura), Journal de Th\'{e}orie des Nombres de Bordeaux, 28 (2016), 325-345

[17] On the $2$-adic Iwasawa lambda invariants of the $p$-cyclotomic fields and their quadratic twists
(with H. Ichimura and S. Nakajima), International Journal of Number Theory, 10 (2014), 283-296

[16] On the Iwasawa lambda invariant of an imaginary abelian field of conductor $3p^{n+1}$
(with H. Ichimura and S. Nakajima), Journal of Number Theory, 133 (2013), 787-801

[15] On Hilbert-Speiser type imaginary quadratic fields (with H. Ichimura),
Acta Arithmetica, 136 (2009), 385-389

[14] Examples of the Iwasawa invariants and the higher $K$-groups associated to quadratic fields , Journal of Mathematics, the University of Tokushima, 41 (2007), 33-41

[13] Imaginary quadratic fields satisfying the Hilbert-Speiser type condition for a small prime $p$ (with H. Ichimura), Acta Arithmetica, 127 (2007), 179-191

[12] Computation of the $p$-part of the ideal class group of certain real abelian fields , Mathematics of Computation, 76 (2007), 1059-1071

[11] Stickelberger ideals of conductor $p$ and its application (with H. Ichimura), Journal of the Mathematical Society of Japan, 58 (2006), 885-902

[10] The Iwasawa invariants and the higher $K$-groups associated
to real quadratic fields , Experimental Mathematics, 14 (2005), 307-316

[9] Computation of the Iwasawa invariants of certain real abelian fields , Journal of Number Theory, 105 (2004), 235-250

[8] A note on integral bases of unramified cyclic extensions of prime degree. II (with H. Ichimura), Manuscripta Mathematica, 104 (2001), 201-210

[7] On capitulation of $S$-ideals in $\mathbf{Z}_p$-extensions , Journal of Number Theory, 86 (2001), 163-174

[6] Isomorphism classes and adjoints of certain Iwasawa modules , Abhandlungen aus dem Mathematischen Seminar der Universit\"at Hamburg, 70 (2000), 113-117

[5] Initial layers of $\mathbf{Z}_p$-extensions and Greenberg's conjecture , Manuscripta Mathematica, 98 (1999), 477-490

[4] Greenberg's conjecture and the Iwasawa polynomial , Journal of the Mathematical Society of Japan, 49 (1997), 689-711

[3] On the Iwasawa invariants of certain real abelian fields (with H. Ichimura), T\^ohoku Mathematical Journal, 49 (1997), 203-215

[2] On the Iwasawa invariants of certain real abelian fields II (with H. Ichimura), International Journal of Mathematics, 7 (1996), 721-744

[1] On the Iwasawa $\lambda$-invariant of the $p$-cyclotomic field (with H. Ichimura), Journal of Mathematical Sciences, University of Tokyo, 3 (1996), 457-470

[A] Solution of hidden symmetry on the periodic lattice structure (with I. Ario), Journal of Structural Engineering, AIJ, 47B (2001), 31-39

Remarks

*In [6] I first dealt with the greatness of "3-7". I would like to express my gratitude to the editor for the numbers of pages.

*[9], [10] and [12] are three brothers.

*In [9] "777" was hidden.

Back (English)

Back (Japanese)