Sommaire du Fascicule no. 6

Hodge structure and holonomic systems

Kashiwara, Masaki ; Kawai, Takahiro

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p. 1-4

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Aitken-Steffensen acceleration and a new addition formula for Fibonacci numbers

Arai, Masaharu ; Okamoto, Kazuo ; Kametaka, Yoshinori

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p. 5-7

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Propagation of chaos for the two dimensional Navier-Stokes equation

Osada, Hirofumi

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p. 8-11

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Fock space representations of Virasoro algebra and intertwining operators

Kanie, Yukihiro ; Tsuchiya, Akihiro

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p. 12-15

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On the automorphism groups of a compact bordered Riemann surface of genus five

Nakagawa, Kenji

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p. 16-18

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$\partial$-problem on a family of weakly pseudoconvex manifolds

Kazama, Hideaki ; Shon, Kwang Ho

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p. 19-20

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Simple vector bundles over symplectic Kähler manifolds

Kobayashi, Shoshichi

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p. 21-24

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Special values of Euler products and Hardy-Littlewood constants

Kurokawa, Nobushige

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p. 25-28

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The number of embeddings of integral quadratic forms, II

Miranda, Rick ; Morrison, David R.

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p. 29-32

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On class numbers of quadratic extensions of algebraic number fields

Mollin, Richard A.

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p. 33-36

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On a lower bound for the class number of an imaginary quadratic field

Sasaki, Ryuji

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p. 37-39

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Automorphism groups of real algebraic curves of genus $3$

Bujalance, Emilio ; Etayo, José Javier ; Gamboa, José Manuel

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p. 40-42

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On the connection of the white-noise and Malliavin calculi

Potthoff, Jürgen

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p. 43-45

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Interpolation of linear operators in Lebesgue spaces with mixed norm

Igari, Satoru

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p. 46-48

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On diophantine properties for convergence of formal solutions

Yoshino, Masafumi

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p. 49-51

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Modular pairs in the lattice of projections of a von Neumann algebra

maeda, Shûichirô

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p. 52-53

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On weak, strong and classical solution of the Hopf equation an example of F.D.E. of second order

Inoue, Atsushi

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p. 54-57

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On the heat operators of cuspidally stratified Riemannian spaces

Nagase, Masayoshi

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p. 58-60

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On the construction of pure number fields of odd degrees with large $2$-class groups

Nakano, Shin

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p. 61-64

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On automorphism groups of compact Riemann surfaces of genus $4$

Kuribayashi, Izumi ; Kuribayashi, Akikazu

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p. 65-68

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On polarized manifolds of sectional genus two

Fujita, Takao

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p. 69-72

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Local analytic dimensions of a subanalytic set

Hironaka, Heisuke

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p. 73-75

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On the global existence of real analytic solutions and hyperfunction solutions of linear differential equations

Kawai, Takahiro

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p. 77-79

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Singularities and Cauchy problem for Fuchsian hyperbolic equations

Bove, Antonio ; Lewis, Jeff E. ; Parenti, Cesare ; Tahara, Hidetoshi

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p. 80-82

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On a multi-dimensional inverse parabolic problem

Suzuki, Takashi

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p. 83-86

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On the spectral manifolds of the simple unilateral shift and its adjoint

Yoshino, Takashi

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p. 87-90

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Path integral for the Weyl quantized relativistic Hamiltonian

Ichinose, Takashi ; Tamura, Hiroshi

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p. 91-93

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On Persson's theorem concerning $P$-nuclear operators

Takahashi, Yasuji ; Okazaki, Yoshiaki

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p. 94-96

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A characterization of certain real quadratic fields

Sasaki, Ryuji

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p. 97-100

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A topology on arithmetical lattice-ordered groups

Murata, Kentaro

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p. 101-103

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On the crepant blowing-ups of canonical singularities and its application to degenerations of surfaces

Kawamata, Yujiro

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p. 104-107

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Relative Zariski decomposition on higher dimensional algebraic varieties

Moriwaki, Atsushi

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p. 108-111

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Wave forms on $O\left( {1,q + 1} \right)$ and associated Dirichlet series

Takase, Koichi

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p. 112-115

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On a local existence theorem for quasilinear hyperbolic mixed problems with Neumann type boundary conditions

Nakamura, Gen ; Shibata, Yoshihiro

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p. 117-120

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Entropy of random dynamical systems

Morita, Takehiko

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p. 121-124

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Some applications of the generalized Libera integral operator

Owa, Shigeyoshi ; Srivastava, H. M.

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p. 125-128

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Density of the range of a wave operator with nonmonotone superlinear nonlinearity

Tanaka, Kazunaga

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p. 129-132

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An average effect of many tiny holes in nonlinear boundary value problems with monotone boundary conditions

Kaizu, Satoshi

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p. 133-136

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On a criterion for hypoellipticity

Morimoto, Yoshinori

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p. 137-140

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Multi-tensors of differential forms on the Siegel modular variety and on its subvarieties

Tsuyumine, Shigeaki

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p. 141-143

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Homology of a local system on the complement of hyperplanes

Kohno, Toshitake

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p. 144-147

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On the homology groups of the mapping class groups of orientable surfaces with twisted coefficients

Morita, Shigeyuki

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p. 148-151

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A note on the mean value of the zeta and $L$-functions, III

Motohashi, Yoichi

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p. 152-154

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On the Kazhdan-Lusztig conjecture for Kac-Moody algebras

Suto, Kiyokazu

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p. 155-158

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Representations of Hecke algebras on virtual character modules of a semisimple Lie group

Nishiyama, Kyo

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p. 159-162

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Continuity theorem for non-linear integral functionals and Aumann-Perles' variational problem

Maruyama, Toru

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p. 163-165

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On the existence and the asymptotic behavior of the global solution of a nonlinear variational inequality of evolution

Hisamitsu, Toru

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p. 167-170

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Regularity of the $90$-velocity model of the Boltzmann equation

Shizuta, Yasushi ; Maeji, Machi ; Watanabe, Akemi ; Kawashima, Shuichi

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p. 171-173

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The Aitken-Steffensen formula for systems of nonlinear equations, III

Noda, Tatsuo

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p. 174-177

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Initial-boundary value problem for parabolic equation in $L^1$

Park, Dong Gun

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p. 178-180

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Magnetohydrodynamic approximation of the complete equations for an electromagnetic fluid, II

Kawashima, Shuichi ; Shizuta, Yasushi

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p. 181-184

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Area integrals for normal and Yosida functions

Yamashita, Shinji

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p. 185-188

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On compactifiable strongly pseudoconvex surfaces

Van Tan, Vo

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p. 189-192

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Zeta functions of analytic rings via Euler products

Kurokawa, Nobushige

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p. 193-196

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On some integral invariants on complex manifolds, I

Bando, Shigetoshi ; Mabuchi, Toshiki

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p. 197-200

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Discrepancy with respect to weighted means of some sequences

Ohkubo, Yukio

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p. 201-204

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On Artinian modules

Inoue, Makoto

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p. 205-208

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Simple proof of Fermat's last theorem for $n = 4$

Suzuki, Yasutaka

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p. 209-210

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On semi-idempotents in rings

Jinnah, M. I. ; Kannan, B.

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p. 211-212

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Galois type correspondence for non-separable normal extensions of fields

Popescu, Angel

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p. 213-215

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Class number relations of algebraic Tori, I

Katayama, Shin-ichi

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p. 216-218

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Proof of Masser's conjecture on the algebraic independence of values of Liouville series

Nishioka, Kumiko

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p. 219-222

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A characterization of Heegaard diagrams for the $3$-sphere

Kaneto, Takeshi

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p. 223-226

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Tori whose covering spaces have convex distance functions

Innami, Nobuhiro

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p. 227-229

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Characterizations of $\mathbf{P}^3$ and hyperquadrics $Q^3$ in $\mathbf{P}^4 $

Nakamura, Iku

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p. 230-233

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Canonical bundles of compact complex surfaces containing global spherical shells

Nishiguchi, Kenji

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p. 234-237

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On the generators of exponentially bounded $C$-semigroups

Miyadera, Isao

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p. 239-242

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$2$-nd microlocalization and conical refraction

Tose, Nobuyuki

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p. 243-245

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Fluctuation of spectra in random media

Ozawa, Shin

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p. 246-248

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Asymptotic behavior of solutions for the equations of a viscous heat-conductive gas

Kawashima, Shuichi ; Matsumura, Akitaka ; Nishihara, Kenji

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p. 249-252

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Estimation of multiple Laplace transforms of convex functions with an application to analytic $\left( {C_0 } \right)$-semigroups

Nakamura, Gen ; Oharu, Shinnosuke

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p. 253-256

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Local isometric embedding problem of Riemannian $3$-manifold into $\mathbf{R}^6 $

Nakamura, Gen ; Maeda, Yoshiaki

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p. 257-259

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On Matukuma's equation and related topics

Ni, Wei-Ming ; Yotsutani, Shoji

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p. 260-263

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Group rings whose augmentation ideals are residually Lie solvable

Mitsuda, Tadashi

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p. 264-266

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A problem of Orlicz in the Scottish book

Akita, Minoru ; Goto, Kazuo ; Kano, Takeshi

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p. 267-319

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On cusp forms of octahedral type

Tanigawa, Yoshio

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p. 270-273

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On conjugacy classes of the Pro-$\ell$ braid group of degree $2$

Kaneko, Masanobu

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p. 274-277

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Transformé de Fourier et produit de convolution de bons opérateurs

Charrière, H.

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p. 278-281

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The $n$-plane with integral curvature zero and without conjugate points

Innami, Nobuhiro

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p. 282-284

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Large-time behavior of solutions for hyperbolic-parabolic systems of conservation laws

Kawashima, Shuichi

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p. 285-287

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Periodicity and almost periodicity of solutions to free boundary problems in Hele-Shaw flows

Kubo, Masahiro

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p. 288-291

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On Kakeya's maximal function

Igari, Satoru

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p. 292-293

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Boundedness of closed linear operator $T$ satisfying $R\left( T \right) \subset D\left( T \right)$

OKazaki, Yoshiaki

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p. 294-296

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Some new two-step integration methods

Nakashima, Masaharu

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p. 297-299

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On the existence of polyharmonic functions in Lebesgue classes

Mizuta, Yoshihiro

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p. 300-303

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Products of compact Fréchet spaces

Tamano, Ken-ichi

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p. 304-307

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Pluricanonical mappings of elliptic fiber spaces

Fujimoto, Yoshio

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p. 308-310

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A note on the mean value of the zeta and $L$-functions, IV

Motohashi, Yoichi

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p. 311-313

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String theories and prime number theories

Kurokawa, Nobushige

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p. 314-317

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A remark on the $\lambda$-invariant of real quadratic fields

Fukuda, Takashi ; Komatsu, Keiichi ; Wada, Hideo

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p. 318-319

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Class number relations of algebraic Tori, II

Katayama, Shin-ichi

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p. 320-322

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Class numbers of positive definite binary and ternary unimodular Hermitian forms

Hashimoto, Ki-ichiro ; Koseki, Harutaka

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p. 323-326

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A remark on the essential self-adjointness of Dirac operators

Yamada, Osanobu

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p. 327-330

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Representations of a solvable Lie group on $\overline \partial _b$ cohomology spaces

Nomura, Takaaki

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p. 331-334

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Uniqueness of the $\omega $-limit point of solutions of a semilinear heat equation on the circle

Chen, Xuyan

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p. 335-337

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Product of linear operators with closed range

Nikaido, Gyokai

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p. 338-340

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A note on Heegaard splittings of non-orientable surface bundles over $S^1 $

Morimoto, Kanji

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p. 341-342

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On closed maximal ideals of $M$

Kim, Hong Oh

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p. 343-346

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A note on a global version of the Coleman embedding

Ichimura, Humio

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p. 347-349

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Structures paragraduées (groupes, anneaux, modules), I

Krasner, Marc ; Vuković, Mirjana

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p. 350-352

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On algebraic $K3$ surfaces with finite automorphism groups

Kondō, Shigeyuki

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p. 353-355

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On automorphisms of algebraic $K3$ surfaces which act trivially on Picard groups

Kondō, Shigeyuki

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p. 356-359

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Mixed Hodge modules

Saito, Morihiko

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p. 360-363

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On the derived categories of mixed Hodge modules

Saito, Morihiko

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p. 364-366

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The $102$-velocity model and the related discrete models of the Boltzmann equation

Shizuta, Yasushi ; Maeji, Machi ; Watanabe, Akemi ; Kawashima, Shuichi

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p. 367-370

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Large time behavior of a solution of a parabolic equation

Nishioka, Kunio

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p. 371-374

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A characterization of Chebyshev spaces

Kitahara, Kazuaki

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p. 375-378

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Note on chemical interfacial reaction models

Yamada, Yoshio ; Yotsutani, Shoji

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p. 379-381

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Isotropic submanifolds in a Euclidean space

Itoh, Takehiro

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p. 382-385

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On a closed range property of a linear differential operator

Kawai, Takahiro ; Takei, Yoshitsugu

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p. 386-388

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Structures paragraduées (groupes, anneaux, modules), II

Krasner, Marc ; Vuković, Mirjana

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p. 389-391

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Groups associated with compact type subalgebras of Kac-Moody algebras

Suto, Kiyokazu

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p. 392-395

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On triple $L$-functions

Satoh, Takakazu

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p. 396-398

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A note on the mean value of the zeta and $L$-functions, V

Motohashi, Yoichi

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p. 399-401

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Casson's invariant for homology $3$-spheres and the mapping class group

Morita, Shigeyuki

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p. 402-405

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On surfaces of class $\mathrm{VII}_0$ with curves, II

Nakamura, Iku

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p. 406-409

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A note on the approximate functional equation for $\zeta ^2 \left( S \right)$, III

Motohashi, Yoichi

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p. 410-412

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