@ (V@Jc~) SHIMOMURA Katsumi ǁ^E Research and Education Faculty, Natural Sciences Cluster, Science and Technology Unit^Professor 猤@RȊwn@Hw^

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$KO$-groups of lens spaces modulo power of two
@Hiroshima Math. J. () 8/, 469--489 1978 (wpG)

Novikov's Ext$^2$ at the prime 2
@Hiroshima Math. J. () 11/, 499--513 1981 (wpG)

On product of the $\beta$-elements in the stable homotopy of spheres
@Hiroshima Math. J. () 12/, 611--626 1982 (wpG)

Non-triviality of some compositions of $\be$-elements in the stable homotopy of the Moore spaces
@Hiroshima Math. J. () 16/, 121--133 1986 (wpG)

On the Adams-Novikov spectral sequence and products of $\be$-elements
@Hiroshima Math. J. () 16/, 209--224 1986 (wpG)

$BP$-Hopf module spectrum and $BP_*$-Adams spectral sequence
@Publ. RIMS, Kyoto Univ. () 21/, 925--947 1986 (wpG)

Non-triviality of products of $\be$-elements in the stable homotopy of spheres
@Hiroshima Math. J. () 17/, 349--353 1987 (wpG)

Triviality of products of $\be$-elements in the stable homotopy group of spheres
@J. Math. Kyoto Univ. () 29/, 57--67 1989 (wpG)

On the products $\beta_s\beta_t$ in the stable homotopy groups of spheres
@Hiroshima Math. J. () 19/, 347--354 1989 (wpG)

A spectrum whose $BP_*$-homology is $(BP_*/I_5)[t_1]$
@Hiroshima Math. J. () 21/, 587--595 1991 ()

On some products of $\be$-elements in the homotopy of the Moore spectrum
@Math. J. Okayama Univ. () 34/, 195--204 1992 (wpG)

The Adams-Novikov spectral sequence for the $L_2$ localization of a $v_2$ spectrum
@Contemporary Math. () 146/, 237--250 1993 (wpG)

On the chromatic $E_1$-term $H^*M_0^2$
@Contemporary Math. () 158/, 217--228 1994 (wpG)

Existence of the greek letter elements in the stable homotopy groups of $E(n)_*$-localized spheres
@Publ. RIMS, Kyoto Univ. () 30/, 139--150 1994 (wpG)

An exact sequence related to Adams-Novikov $E_2$-term of a cofibering
@J. Math. Soc. of Japan () 46/, 645--661 1994 (wpG)

On some products of $\be$-elements in the homotopy of the Moore spectrum II
@Okayama Math. J. () 36, 185--197./, 1994 (wpG)

The homotopy groups $\pi_*(L_2S^0)$
@Topology () 34, 261--289/, 1995 (wpG)

On products of $\beta$-elements in the homotopy of $L_2$-local spheres
@Kodai Math. J. () 18, 234--241/, 1995 (wpG)

The products $\be_s\be_{tp/p}$ in the stable homotoy of $L_2$-localized spheres
@Hiroshima Math. J. () 25, 487--491/, 1995 (wpG)

The homotopy groups of the $L_2$-localized Mahowald spectrum $X<1>$
@Forum Math. () 7, 685--707/, 1995 (wpG)

The homotopy groups of a spectrum whose $BP_*$-homology is $v_2^{-1}BP_*/(2)[t_1]\otimes\Lambda(t_2)$
@Osaka J. Math. () 33, 69--82/, 1996 (wpG)

3-primary $\beta$-family in stable homotopy of a finite spectrum
@Hiroshima Math. J. () 26, 341--349/, 1996 (wpG)

The chromatic $E_1$-term $H^1M_1^1$ at the prime 3
@Hiroshima Math. J. () 26, 415--431/, 1996 (wpG)

The homotopy groups of the $L_2$-localization of a type one finite complex at the prime 3
@Fundamenta Mathematicae () 152, 1-20/, 1997 (wpG)

The homotopy groups of $L_2$-localized Toda-Smith spectrum $V(1)$ at the prime 3
@Trans. Amer. Math. Soc. () 349, 1821-1850/, 1997 (wpG)

On the products of some $\be$-elements in the homotopy of the mod $3$ Moore spectrum
@Hiroshima Math. J. () 27, 477-486/, 1997 (wpG)

The homotopy groups of an $L_2$-localized type one finite spectrum at the prime 2
@Hiroshima Math. J. () 28, 113-127/, 1998 (wpG)

The Adams-Novikov $E_2$-term for computing $\pi_*(L_2V(0))$ at the prime 2
@Topology and its Applications () 96, 133-152/, 1999 (wpG)

The homotopy groups of the $L_2$-localized mod $3$ Moore spectrum
@J. Math. Soc. Japan () 51, 65-90/, 2000 (wpG)

On the action of $\be_1$ in the stable homotopy of spheres at the prime 3
@Hiroshima Math. J. () 30, 345-362/, 2000 (wpG)

The homotopy groups $\pi_*(L_2V(0)\wedge T(k))$
@Hiroshima Math. J. () 31, 391-408/, 2001 (wpG)

The homotopy groups $\pi_*(L_nT(m)\wedge V(n-2))$
@Contemporary Math. () 293, 285-297/, 2002 (wpG)

The homotopy groups $\pi_*(L_2S^0)$ at the prime $3$
@Topology () 41, 1183-1198/, 2002 (wpG)

$E_*$-homology spheres for a connective spectrum $E$
@Contemporary Math. () 314, 153-159/, 2002 (wpG)

The Adams-Novikov $E_2$-term for $\pi_*(L_2S^0)$ at the prime $2$
@Math. Z. () 241, 271-311/, 2002 (wpG)

On the homotopy groups of an invertible spectrum in the $E(2)$-local category at the prime 3
@JP Jour. Geometry & Topology () 3, 257--268/, 2003 (wpG)

Subgroups of $\pi_*(L_2T(1))$ at the prime two
@Hiroshima Math. J. () 33, 359--369/, 2003 (wpG)

A relation between the Picard groups of the $E(n)$-local homotopy category and $E(n)$-based Adams spectral sequence
@Contemp. Math. () 346, 321-333/, 2004 (wpG)

$E(2)_*$-invertible spectra smashing with the Smith-Toda spectrum $V(1)$ at the prime 3
@Proc. Amer. Math. Soc. () 132, 3111-3119/, 2004 (wpG)

Homotopy groups of a generalized $E(2)$-local Moore spectrum at the prime three
@Hiroshima Math. J. () 35, 125--142/, 2005 (wpG)

On the homotopy groups of $E(n)$-local spectra with unusual invariant ideals
@Geometry & Topology Monographs (H. Nakai and K. Shimomura) 10/, 319--332 2007 (wpG)

Picard groups of some local categories
@Publ. RIMS, Kyoto Univ. (Y. Kamiya and K. Shimomura) 43/2, 303-314 2007 (wpG)

On subgroups of $\pi_*(L_2T(1)\wedge M(2))$ at the prime two
@Bol. Soc. Mat. Mexicana (I. Ichigi, K. Shimomura and X. Wang) 13/1, 207--230 2007 (wpG)

The modulo two homotopy groups of the $L_2$-localization of the Ravenel spectrum
@Cubo Math. J. (I. Ichigi and K. Shimomura) 10/3, 43--55 2008 (wpG)

The homotopy groups of the $L_2$-localization of the modulo $p$ Moore spectrum smashing with the first Ravenel spectrum
@Asian-European Journal of Mathematics (I. Ichigi and K. Shimomura) 3/1, 107--118 2010 (wpG)

Note on beta elements in homotopy, and an application to the prime three case
@Proc. Amer. Math. Soc. (K. Shimomura) 138/, 1495--1499 2010 (wpG)

The beta elements $\be_{tp^2/r}$ in the homotopy of spheres
@Algebraic and Geometric Topology (K. Shimomura) 10/, 2079--2090 2010 (wpG)

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