RYUKYU MATHEMATICAL JOURNAL

Volume 36 (2023)

• Gauss decomposition and $q$-difference equations for Jackson integrals of symmetric Selberg type.
  Ito, Masahiko.
• Remarks and examples on two-variable zeta functions for graphs.
  Kimoto, Kazufumi.
• A locally commentative learning transformation by the entire cyclic cohomology theory for Banach algebras.
  Sudo, Takahiro.

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Volume 35 (2022)

• Linear relations for Bernoulli numbers and its application to congruences involving harmonic sums.
  Kimoto, Kazufumi.
• From making pairing of cyclic cohomology with K-theory for algebras with derivations to the noncommutative rotation by elliptic index theory as specialized.
  Sudo, Takahiro.

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Volume 34 (2021)

• Vulnerability of Diene-Thabet-Yusuf's cubic multivariate signature scheme.
  Hashimoto, Yasufumi.
• Wreath determinants, zonal spherical functions on symmetric groups and the Alon-Tarsi conjecture.
  Kimoto, Kazufumi.
• The Connes cyclic Hochschild cohomology theory for algebras involving derivations.
  Sudo, Takahiro.

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Volume 33 (2020)

• $q$-difference equations for $q$-hypergeometric integrals of type $G_2$.
  Ito, Masahiko ; Takushi, Yamato.
• The Hochschild homology and cohomology theory for algebras, reviewed, developed and deformed as gardening quantums or phantoms.
  Sudo, Takahiro.

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Volume 32 (2019)

• The bottom line shaking up studying the basic noncommutative geometry, towards understanding group $C^∗$-algebras and more ahead.
  Sudo, Takahiro.

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Volume 31 (2018)

• On the security of Zhang-Tan's variants of multivariate signature schemes
  Hashimoto, Yasufumi
• A locally commentative, deformative learning in the arithmetic noncommutative geometry as flower gardening variation.
  Sudo, Takahiro.

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Volume 30 (2017)

• Weaknesses of cubic UOV and its variants.
  Hashimoto, Yasufumi
• A locally commentative and transcrpitive exercising in the quantum algebraic, analytic, and geometric garden.
  Sudo, Takahiro.

Volume 29 (2016)

• Generalized Apéry-Like numbers arising from the non-commutative harmonic oscillator.
  Kimoto, Kazufumi.
• The K-theory and the E-theory for $C^*$-algebras and the Baum-Connes conjecture for discrete groups --- a commentative local study.
  Sudo, Takahiro.

Volume 28 (2015)

• The Künneth theorem and the universal coefficient theorem in equivariant K-theory and KK-theory for $C^*$-algebras --- a local study.
  Sudo, Takahiro.

Volume 27 (2014)

• Which inscribed sphere of pyramids is maximal?
  Kamiyama, Yasuhiko.
• An extremal value problem concerning the inscribed sphere of pyramids.
  Kamiyama, Yasuhiko.
• A local study on the KK-theory equivalence and more basics for $C^∗$-algebras.
  Sudo, Takahiro.
• On degenerate automorphic representations.
  Suzuki, Toshiaki.

[Errata] The volume number 26 printed on the top of the first page of each article in this volume is wrong. It should be replaced to 27.

Volume 26 (2013)

• Remarks on the homology of a regular $2$-cover.
  Kamiyana, Yasuhiko.
• An exotic involution on the moduli space of planar polygons.
  Kamiyana, Yasuhiko.
• The mapping degree of a diffeomorphism between polygon spaces.
  Kamiyana, Yasuhiko.
• The space of $9$-dimensional graded algebras of regular type.
  Shiga, Hiroo ; Sinclair, Robert.
• The Künneth theorem for tensor products of $C^∗$-algebras --- a review as a prelude.
  Sudo, Takahiro.
• The universal coefficient thorem and the Künneth theorem in Kasparov KK-theory --- a review.
  Sudo, Takahiro.

Volume 25 (2012)

• The Riemannian volume of the moduli space of planar quasi-equilateral polygons with vertex number $4$, $5$ or $6$.
  Kamiyama, Yasuhiko.
• On the Fourier coefficients of metaplectic forms.
  Suzuki, Toshiaki.

Volume 24 (2011)

• Computer-aided verification of the Gauss-Bonnet formula for closed surfaces.
  Kamiyama, Yasuhiko.
• The cyclic cohomology theory for smooth algebra crossed products by the group of integers in $C^∗$-algebra crossed products --- a review.
  Sudo, Takahiro.
• The cyclic cohomology theory for smooth algebra crossed products by the group of reals --- an overview.
  Sudo, Takahiro.
• Hirata separable extension over the descending chain of subrings.
  Yamashiro, Yasukazu.

Volume 23 (2010)

• Equi-uniform approximation processes of integral type operators.
  Nishishiraho, Toshihiko.
• The theory of $C^*$-algebra unit ball extreme points, extremally rich $C^*$-algebras, and the $\lambda$-function --- a review.
  Sudo, Takahiro.
• On equivalent class of descending chains of subrings.
  Yamashiro, Yasukazu.

Volume 22 (2009)

• Partition algebra, its characterization and representations.
  Kosuda, Masashi.
• Noncommutative continuous deformation theory by soft $C^*$-algebras --- a review.
  Sudo, Takahiro.
• Erratum: K-theory for amalgams and multi-ones of $C^*$-algebras, Ryukyu Math. J. 21 (2008), 57–139.
  Sudo, Takahiro.
• On the continuous cohomology groups of the $2\times2$ special linear group over $l$-adic integers.
  Tezuka, M. ; Yagita, N.

Volume 21 (2008)

• Estimation of a finite mixture of multivariate distributions.
  Henna, Jogi.
• On triangulations of the surface of a cube into planar acute triangles.
  Itoh, Jin-ichi ; Maehara, Hiroshi.
• Convergence rates of equi-uniform approximation processes of integral operators in Banach spaces.
  Nishishiraho, Toshihiko.
• K-theory for amalgams and multi-ones of $C^*$-algebras.
  Sudo, Takahiro.
• On metaplectic Whittaker functions.
  Suzuki, Toshiaki.

Volume 20 (2007)

• A remark on the varieties of subspaces stable under a nilpotent transformation.
  Maeda, Takashi.
• Inversions and Möbius invariants.
  Maehara, Hiroshi.
• Approximation processes of fractional interpolation type operators.
  Nishishiraho, Toshihiko.
• K-theory ranks and index for $C^*$-algebras.
  Sudo, Takahiro.

Volume 19 (2006)

• Proper time for spin $1/2$ particles.
  Kudaka, Shoju ; Matsumoto, Shuichi.
• On a special arrangement of spheres.
  Maehara, H. ; Tokushige, N.
• Approximation processes of Bernstein-type operators.
  Nishishiraho, Toshihiko.
• K-theory of multi-amalgams of $C^*$-algebras with retractions.
  Sudo, Takahiro.
• On quasicharacters associated to distinguished metaplectic forms.
  Suzuki, Toshiaki.
• Gauss sums related to the Hilbert symbol.
  Suzuki, Toshiaki.
• de Finétti's theorem for $\sigma$-finite measures on $\mathbb{R}^\infty\setminus\{0\}$.
  Yamauchi, Kana ; Yamazato, Makoto.

Volume 18 (2005)

• Almost halving a set of objects in Euclidean space by a hyperplane.
  Maehara, Hiroshi.
• The degree of convergence of equi-uniform summation processes of interpolation type operators in Banach spaces.
  Nishishiraho, Toshihiko.
• Group $C^*$-algebras as inductive limits: a survey.
  Sudo, Takahiro.
• Intersecting families --- uniform versus weighted.
  Tokushige, Norihide.

Volume 17 (2004)

• On volume-measure as hemi-metrics.
  Deza, Michel ; Dutour, Mathiew ; Maehara, Hiroshi.
• A quantum theoretical formulation of proper time for spin $1/2$ particles.
  Kudaka, Shoju ; Matsumoto, Shuichi.
• The degree of interpolation type approximation processes for vector-valued functions.
  Nishishiraho, Toshihiko.
• Around the stable rank of discrete group $C^*$-algebras.
  Sudo, Takahiro.
• On supercuspidal representations of a metaplectic group.
  Suzuki, Toshiaki.
• A frog's random jump and the Pólya identity.
  Tokushige, Norihide.

Volume 16 (2003)

• Statistical and probabilistic models for stock prices: a review.
  Chen, Chunhang.
• On the dodecahedral group.
  Komine, Kenji ; Matsumoto, Shuichi.
• The varieties of subspaces stable under a nilpotent transformation.
  Maeda, Takashi.
• Note on the star connecting given points in a normed plane.
  Maehara, Hiroshi ; Watanabe, Mamoru.
• The convergence of equi-uniform approximation processes of integral operators in Banach spaces.
  Nishishiraho, Toshihiko.
• Notes on the stable rank estimate for twisted crossed products of $C^*$-algebras by $\mathbb{Z}$.
  Sudo, Takahiro.

Volume 15 (2002)

• Stable non-Gaussian time series.
  Chen, Chunhang.
• A partial order on the symmetric groups defined by $3$-cycles.
  Maeda, Takashi.
• A simple proof of the existence of non-obtuse triangulation for polygons.
  Maehara, Hiroshi.
• Structure of the $C^*$-algebras of solvable Lie groups of full triangular matrices.
  Sudo, Takahiro.
• A maximal isotropic ring of a local field and spherical functions on a metaplectic group.
  Suzuki, Toshiaki.

Volume 14 (2001)

• Commutative sets on orbits for embedded flows.
  Kinjo, Yoshiyuki.
• On Schrödinger's variation principle.
  Kudaka, Shoju ; Matsumoto, Shuichi.
• Determinantal equations and singular loci of duals of Grassmannians.
  Maeda, Takashi.
• Isoperimetric theorem for spherical polygons and the problem of $13$ spheres.
  Maehara, Hiroshi.
• On the $\pi$-Frattini subgroup.
  Nakazato, Haruo ; Kawamitsu, Komina.
• Survey on the stable rank of group $C^*$-algebras of two-step nilpotent groups.
  Sudo, Takahiro.
• Asymptotic behaviors on the small parameter exit problems and the singularly perturbation problems.
  Sugiura, Makoto.
• The cohomology of classifying space of fibrations with elliptic fiber is infinite dimensional.
  Yamaguchi, Toshihiro.

Volume 13 (2000)

• Nonstandard proof of spectral theorem.
  Hinokuma, Takanori.
• Characterization for the party algebras.
  Kosuda, Masashi.
• Generic $G$-linear maps.
  Maeda, Takashi.
• On families of nonoverlapping balls.
  Maehara, Hiroshi.
• Continuous images of compact ordered spaces.
  Maehara, Ryuji ; Tokumoto, Hirokazu.
• Negative characters on the degree of the best approximation in Banach spaces.
  Nishishiraho, Toshihiko.
• Survey on the rank and structure theory of group $C^*$-algebras of Lie groups.
  Sudo, Takahiro.
• On semigroups corresponding to storage processes. II.
  Yamazato, Makoto.

Volume 12 (1999)

• Hamiltonian systems by an ideal of integrals.
  Kinjo, Yoshiyuki ; Miyagi, Yashushi.
• Minimal free resolution of the third Veronese subring of three variables.
  Maeda, Takashi.
• Arranging solid balls on a table to make a $k$-component link.
  Maehara, Hiroshi ; Noha, Hiroshi.
• Proper time as an operator.
  Matsumoto, Shuichi.
• General inverse problems for the best approximation in Banach spaces.
  Nishishiraho, Toshihiko.
• Structure of group $C^*$-algebras of Lie semi-direct products of $\mathbb{R}$ or $\mathbb{C}$ by Lie groups.
  Sudo, Takahiro.
• Examples of elliptic models which are oddly generated and don't have positive weights.
  Yamaguchi, Toshihiro.

Volume 11 (1998)

• A realization of twisted Grassmann varieties.
  Maeda, Takashi.
• Complete noncommutative integration of Hamiltonian systems.
  Kinjo, Yoshiyuki ; Miyagi, Yashushi.
• Remarks on the universal covering space of the space of rational functions.
  Kamiyama, Yasuhiko.
• A proof of the existence of complex-valued symmetric $\alpha$-stable random measures.
  Chen, Chunhang.
• On semigroups corresponding to storage processes.
  Yamazato, Makoto.
• Estimates for the degree of best approximation in Banach spaces.
  Nishishiraho, Toshihiko.
• $\theta$-Frattini subgroups of finite solvable groups.
  Nakazato, Haruo ; Tamashiro, Manabu.
• Vector fields and quadratic surfaces.
  Maehara, Hiroshi.

Volume 10 (1997)

• The HOMFLY invariant of closed tangles.
  Kosuda, Masashi.
• Intermediate Jacobians of projective plane bundles over a smooth projective surface.
  Maeda, Takashi.
• On the graph represented by a family of solid balls on a table.
  Maehara, Hiroshi ; Noha, Hiroshi.
• On a minimum uncertainty of space-time geometry.
  Matsumoto, Shuichi.
• Converse results for the best approximation in Banach spaces.
  Nishishiraho, Toshihiko.
• A note on iterations of mappings on an interval.
  Tamashiro, Tsuyoshi ; Matsumoto, Shuichi.

Volume 9 (1996)

• An intuitive proof of Jordan-Brower [Brouwer] separation theorem in 3-space.
  Higa, Akira ; Maehara, Hiroshi.
• Birational maps of standard projective plane bundles over algebraic surfaces.
  Maeda, Takashi.
• Fluctuations in spacetime and localization of the wave function.
  Matsumoto, Shuichi.
• Korovkin type approximation closures for vector-valued functions.
  Nishishiraho, Toshihiko.

Volume 8 (1995)

• Theoretical results and empirical studies on the forecasting accuracy of the Holt's linear exponential smoothing method.
  Chen, Chunhang.
• Projecting a finite point-set into a hyperplane.
  Frankl, P. ; Maehara, H.
• An infinitesimally rigid unit-bar-framework in the plane which contains no triangle.
  Maehara, Hiroshi ; Chinen, Kenji.
• The order of convergence for positive approximation processes.
  Nishishiraho, Toshihiko.
• Unitary highest weight modules of a Jacobi group.
  Suga, Shuichi.
• Correction to: "An analogue of a theorem of T. F. Havel" [Ryukyu Math. J. 6 (1993), 69--77].
  Toma, Tsuguyoshi.

Volume 7 (1994)

• On asymptotic normality of estimates for smoothing parameters in the Holt-Winters seasonal forecasting method.
  Chen, Chunhang.
• A note on the asymptotic distribution of the periodogram of a long memory process.
  Chen, Chunhang.
• The irreducibilities of Appell's $F_4$.
  Kato, Mitsuo.
• How many icosahedral dice?
  Maehara, Hiroshi ; Yamada, Yasuyuki.
• A reexamination of the Wigner and Araki-Yanase theorem. II.
  Matsumoto, Shuichi.
• Approximation of the Korovkin type for vector-valued functions.
  Nishishiraho, Toshihiko.
• Nagell-Bernstein units.
  Takaku, Akira ; Yoshimoto, Shin-Ichirou.

Volume 6 (1993)

• A note on partial differential equations and a distribution on manifolds.
  Kinjo, Yoshiyuki.
• Angles in lattice polygons.
  Maehara, Hiroshi.
• Approximation by linear sums of bounded linear operators.
  Nishishiraho, Toshihiko.
• Fundamental unit of the real quadratic field $\boldsymbol{Q}(\sqrt{v(v^3+1)(v^6+3v^3+3)})$.
  Takaku, Akira ; Yoshimoto, Shin-Ichirou.
• An analogue of a theorem of T. F. Havel.
  Toma, Tsuguyoshi.
• A note on endomorphism rings of $H$-separable extensions.
  Yamashiro, Yasukazu.

Volume 5 (1992)

• A remark on theorem of Jarnik.
  Hinokuma, Takanori ; Shiga, Hiroo.
• An elementary proof of a theorem of T. F. Havel.
  Kamiyama, Yasuhiko.
• The expression of an integral manifold of a $C^\infty$ $k$-dimensional distribution and its application.
  Kinjo, Yoshiyuki.
• Distance graphs in Euclidean space.
  Maehara, Hiroshi.
• Generalized states and measuring processes for continuous observables.
  Matsumoto, Shuichi.
• Approximation processes of quasi-positive linear operators.
  Nishishiraho, Toshihiko.

Volume 4 (1991)

• An estimator of the number of components of finite mixtures of discrete distributions.
  Henna, Jōgi.
• Differential forms of a motion on $S^{n-1}$.
  Kinjo, Yoshiyuki.
• A note on monomorphisms of irrational rotation $C^∗$-algebras into their matrix algebras.
  Kodaka, Kazunori.
• On a special case of Connelly's suspension theorem.
  Maehara, Hiroshi.
• Approximation by convolution operators in Banach spaces.
  Nishishiraho, Toshihiko.
• A realization of irreducible highest weight modules of a certain Lie algebra.
  Suga, Shuichi.

Volume 3 (1990)

• Nonnormal hyperplane section of Fano threefolds of first kind with index two.
  Furushima, Mikio.
• On the rationality of the invariant field under the action of $SL(3,\mathbb{C})$ with signature $(2,1)$.
  Maeda, Takashi.
• Another "match-stick" geometry.
  Maehara, Hiroshi.
• Local cut-points in the connected continuous images of compact ordered spaces. II.
  Maehara, Ryuji.
• Saturation of iterations of multiplier operators in Banach spaces.
  Nishishiraho, Toshihiko.

Volume 2 (1989)

• Estimation of finite mixtures of discrete distributions.
  Henna, Jogi.
• Nonreflexive plane curves of a certain type. II.
  Homma, Masaaki.
• On the rigidity of complete multipartite graphs.
  Maehara, Hiroshi.
• Saturation of iterations for approximation processes on Banach spaces.
  Nishishiraho, Toshihiko.

Volume 1 (1988)

• On the existence of a versal family of complex structures over weakly pseudoconvex domains.
  Akahori, Takao.
• Nonreflexive plane curves of a certain type.
  Homma, Masaaki.
• Independent balls and unit neighborhood graphs.
  Maehara, Hiroshi.
• Formations of finite $\pi$-solvable groups.
  Nakazato, Haruo ; Ohama, Hiroshi.
• Convergence of positive linear functionals.
  Nishishiraho, Toshihiko.

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