Sommaire du Fascicule no. 10

``Hasse principle'' for free groups

Ono, Takashi ; Wada, Hideo

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p. 1-2

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Explicit representations of classes of some binary quadratic forms of discriminants $4q^2+1$

Hashimoto, Ryūta

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p. 3-6

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Homotopy groups of compact exceptional Lie groups

Kachi, Hideyuki ; Mimura, Mamoru

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p. 47-49

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The unitary part of class $\mathcal {F}$ contractions

Yoshino, Takashi

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p. 50-52

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Integral manifolds of impulsive differential equations defined on torus

Schneider, K. ; Kostadinov, S.I. ; Stamov, G.T.

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p. 53-57

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A condition of quasiconformal extendability

Gotoh, Yasuhiro ; Taniguchi, Masahiko

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p. 58-60

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``Hasse principle'' for symmetric and alternating groups

Ono, Takashi ; Wada, Hideo

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p. 61-62

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On the units and the class numbers of certain composita of two quadratic fields

Katayama, Shin-ichi ; Levesque, Claude ; Nakahara, Toru

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p. 63-66

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``Hasse principle'' for $SL_n(D)$

Wada, Hideo

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p. 67-69

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On the generalized Nörlund summability of a sequence of Fourier coefficients

Okuyama, Yasuo ; Miyamoto, Ikuko

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p. 70-73

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Applications of Kawamata's positivity theorem

Fujino, Osamu

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p. 75-79

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On abundance theorem for semi log canonical threefolds

Fujino, Osamu

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p. 80-84

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A note on a problem of lattice points in a certain planar domain

Furuya, Jun

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p. 85-87

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The fundamental group of the moduli space of polygons in the Euclidean plane

Tsukuda, Shuichi

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p. 88-89

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An upper bound for the number of solutions of the exponential diophantine equation $a^x + b^y = c^z$

Le, Maohua

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p. 90-91

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Spectra of categories

Kurokawa, Nobushige ; Sasaki, Ryo ; Tanuma, Hideki

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p. 92-95

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``Shafarevich-Tate sets'' for profinite groups

Ono, Takashi

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p. 96-97

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Infinitesimal locally trivial deformation spaces of compact complex surfaces with ordinary singularities

Tsuboi, Shoji

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p. 99-102

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3-manifold groups and property $T$ of Kazhdan

Fujiwara, Koji

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p. 103-104

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Remarks on harmonic maps into a cone from a stochastically complete manifold

Atsuji, Atsushi

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p. 105-108

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On function-theoretic conditions characterizing compact composition operators on $H^2$

Choa, Jun Soo ; Kim, Hong Oh

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p. 109-112

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A generalization of the Hardy theorem to semisimple Lie groups

Ebata, Mitsuhiko ; Eguchi, Masaaki ; Koizumi, Shin ; Kumahara, Keisaku

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p. 113-114

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$K$-approximations and strongly countable-dimensional spaces

Hattori, Yasunao

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p. 115-117

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Representations of the solvable group acting on a homogeneous Siegel domain

Ishi, Hideyuki

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p. 118-121

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Quasilinear degenerate elliptic equations with absorption term

Horiuchi, Toshio

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p. 122-125

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On the topology of the moduli space of negative constant scalar curvature metrics on a Haken manifold

Katagiri, Minyo

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p. 126-128

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The uniformizing differential equation of the complex hyperbolic structure on the moduli space of marked cubic surfaces

Sasaki, Takeshi ; Yoshida, Masaaki

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p. 129-133

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Some formulas in $\mathfrak {sl}_3$ weight systems

Yoshizumi, Shutaro ; Kuga, Ken'ichi

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p. 134-136

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A note on algebraic aspects of boundary feedback control systems of parabolic type

Nambu, Takao

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p. 137-140

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``Hasse principle'' for $GL_2(D)$

Ono, Takashi

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p. 141-142

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On the mean value of $|L(1, \chi )|^2$ for odd primitive Dirichlet characters

Louboutin, Stéphane

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p. 143-145

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A note on the mean value of the zeta and $L$-functions. IX

Motohashi, Yoichi

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p. 147-149

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A note on quadratic fields in which a fixed prime number splits completely. II

Ichimura, Humio

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p. 150-151

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On a naturality of Chern-Mather classes

Yokura, Shoji

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p. 153-158

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On semicontinuous solutions for general Hamilton-Jacobi equations

Giga, Yoshikazu ; Sato, Moto-Hiko

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p. 159-162

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On a differential subordination for domains bounded by parabolas

Kim, Yong Chan ; Lecko, Adam

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p. 163-165

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Elliptic Curve Lifting Problem and Its Applications

Kim, Hwan Joon ; Cheon, Jung Hee ; Hahn, Sang Geun

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p. 166-169

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A simple proof of a theorem of Parish

Kwon, Soonhak

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p. 170-171

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Trigonal Modular Curves $X_0^{+d}(N)$

Hasegawa, Yuji ; Shimura, Mahoro

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p. 172-175

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A note on quadratic fields in which a fixed prime number splits completely, III

Ichimura, Humio

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p. 176-177

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Milnor numbers and classes of local complete intersections

Brasselet, Jean-Paul ; Lehmann, Daniel ; Seade, José ; Suwa, Tatsuo

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p. 179-183

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Cauchy-Kovalevskaja-Nagumo type theorems for PDEs with shrinkings

Kawagishi, Masaki

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p. 184-187

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Ordering trees by the spectral radius of Laplacian

Tan, Jinsong

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p. 188-193

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On a unit group generated by special values of Siegel modular functions. II

Fukuda, Takashi ; Itoh, Takeshi ; Komatsu, Keiichi

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p. 194-197

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The abc conjecture and the fundamental system of units of certain real bicyclic biquadratic fields

Katayama, Shin-ichi

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p. 198-199

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