Sommaire du Fascicule no. 10

On the Diophantine equation $x\left( {x + 1} \right) = y\left( {y + 1} \right)z^2$

Kashihara, Kenji

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Correction

Ono, Takashi

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On a construction of the fundamental solution for the free Weyl equation by Hamiltonian path-integral

Inoue, Atsushi

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p. 1-3

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Random media with many small Robin holes

Ozawa, Shin

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p. 4-5

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A form of classical Picard principle

Ishikawa, Yujiro ; Nakai, Mitsuru ; Tada, Toshimasa

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p. 6-7

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Commutant algebra of superderivations on a Grassmann algebra

Nishiyama, Kyo ; Wang, Haiquan

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p. 8-11

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Construction of Jacobi forms from certain combinatorial polynomials

Bannai, Eiichi ; Ozeki, Michio

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p. 12-15

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The CM-fields with class number one which are Hilbert class fields of quadratic fields

Louboutin, Stéphane

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p. 16-19

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The Diophantine equation $a^x + b^y = c^z $, III

Terai, Nobuhiro

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p. 20-22

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On some examples of modular QM-abelian surfaces

Hasegawa, Yuji

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p. 23-27

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A note on the lwasawa $\lambda$-invariants of real quadratic fields

Ichimura, Humio

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p. 28-30

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Triangles and elliptic curves, VII

Ono, Takashi

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p. 31-33

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On the rank of the elliptic curve $y^2 = x^3 - 1513^2 x$

Wada, Hideo

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p. 34-35

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An anticipatory Itô formula

Kuo, Hui-Hsiung ; Nishi, Kenjiro

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p. 36-38

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Fundamental solution of anisotropic elasticity

Nakamura, Gen ; Tanuma, Kazumi

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p. 39-42

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Discretization of non-Lipschitz continuous O.D.E. and chaos

Maeda, Yoichi ; Yamaguti, Masaya

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p. 43-45

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Monopoles and dipoles in biharmonic pseudo process

Nishioka, Kunio

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p. 47-50

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On the non-analytic examples of Christ and Geller

Kamimoto, Joe

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p. 51-52

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Spectra of the Laplacian with small Robin conditional boundary

Ozawa, Shin

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p. 53-54

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On subsets of $C^{n + 1} $ in general position

Toda, Nobushige

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p. 55-58

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On the degrees of irrationality of hyperelliptic surfaces

Yoshihara, Hisao

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p. 59-60

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Power series with the Riemann zeta-function in the coefficients

Katsurada, Masanori

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p. 61-63

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The relative class number of certain imaginary abelian number fields of odd conductors

Endô, Akira

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p. 64-68

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On $L\left( {1,\chi } \right)$ and class number formula for the real quadratic fields

Leu, Ming-Guang

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p. 69-74

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Some integral transforms in the space of entire functions of exponential type

Tuan, Vu Kim ; Saigo, Megumi ; Duc, Dinh Thanh

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p. 75-77

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The embeddings of discrete series into principal series for an exceptional real simple Lie group of type $G_2$

Yoshinaga, Tetsumi ; Yamashita, Hiroshi

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p. 78-81

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Connection formulae for solutions of a system of partial differential equations associated with the confluent hypergeometric function $\Phi _2 $

Shimomura, Shun

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p. 82-84

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Degenerating problem with directional derivative for quasilinear elliptic equations of second order

Palagachev, Dian K. ; Popivanov, Peter R.

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p. 85-88

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Remark on upper bounds for $L\left( {1,\chi } \right)$

Katayama, Shin-ichi

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p. 89-90

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On the Diophantine equation $2^{a} X^{4} + 2^{b} Y^{4} = 2^{c} Z^{4}$

Suzuki, Yasutaka

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p. 92-94

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On Ito's observation on coefficients of the modular polynomial

Kaneko, Masanobu

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p. 95-96

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On Jeśmanowicz' conjecture concerning Pythagorean numbers

Le, Maohua

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p. 97-98

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On the problems of conformal maps with quasiconformal extension

Xinzhong, Huang ; Owa, Shigeyoshi

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p. 99-101

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Real tridiagonalization of Hermitian matrices by modified Householder transformation

Shukuzawa, Osamu ; Suzuki, Toshio ; Yokota, Ichiro

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p. 102-103

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Structure and orbits of certain prehomogeneous vector spaces related with orthogonal roots

Muller, Iris

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p. 104-107

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A remark on Jeśmanowicz' conjecture

Takakuwa, Kei

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p. 109-110

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The Schur indices of the cuspidal unipotent characters of the finite unitary groups

Ohmori, Zyozyu

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p. 111-113

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Orbits in the flag variety and images of the moment map for $U\left( {p,q} \right)$

Yamamoto, Atsuko

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p. 114-117

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Elliptic curves related with triangles

Kwon, Soonhak

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p. 118-120

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On the solvability of linear partial differential equations

Koshimizu, Hiroshi ; Takeuchi, Kiyoshi

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p. 121-123

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Eigenvalues of the Laplacian under singular variation of domains舒the Robin problem with obstacle of general shape

Ozawa, Shin

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p. 124-125

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Geometric measure theory and manifolds of nonnegative Ricci curvature

Itokawa, Yoe ; Kobayashi, Ryoichi

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p. 126-128

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Determination of the Harish-Chandra $C$-function for ${SU}\left( {n,1} \right)$ and its application tothe construction of the composition series

Eguchi, Masaaki ; Koizumi, Shin

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p. 129-133

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McKay correspondence and Hilbert schemes

Ito, Yukari ; Nakamura, Iku

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p. 135-138

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The automorphism group of the Klein curve in the mapping class group of genus $3$

Matsuura, Atsushi

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p. 139-140

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The maximal finite subgroup in the mapping class group of genus $5$

Battsengel, B.

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p. 141-143

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On the structure of Painlevé transcendents with a large parameter, II

Kawai, Takahiro ; Takei, Yoshitsugu

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p. 144-147

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Oscillation of solutions of nonlinear wave equations

Uesaka, Hiroshi

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p. 148-151

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A characterization of reflexivity

Dragomir, Sever S.

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p. 152-153

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Criterion of Wiener type for minimal thinness on covering surfaces

Masaoka, Hiroaki

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p. 154-156

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Quadratic forms and elliptic curves

Ono, Takashi

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p. 157-159

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On the upper bounds of the Schur indices of simple finite groups of Lie type

Ohmori, Zyozyu

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p. 160-161

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A generalization of Rosenhain's normal form for hyperelliptic curves with an application

Takase, Koichi

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p. 162-165

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Class number one problem for pure cubic fields of Rudman-Stender type

Byeon, Dongho

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p. 166-167

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Non-congruent numbers with arbitrarily many prime factors congruent to $3$ modulo $8$

Iskra, Boris

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p. 168-169

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Inverse mapping theorem in the ultradifferentiable class

Koike, Minoru

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p. 171-172

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Algorithms for $b$-functions, induced systems, and algebraic local cohomology of $D$-modules

Oaku, Toshinori

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p. 173-178

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A remark on estimates of bilinear forms of gradients in Hardy space

Shimizu, Yasuyuki

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p. 179-182

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A trace formula for the Picard group, I

Motohashi, Yoichi

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p. 183-186

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On Hasse zeta functions of enveloping algebras of solvable Lie algebras

Fukaya, Takako

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p. 187-188

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Hecke correspondences and Betti cohomology groups for smooth compactifications of Hilbert modular varieties of dimension $\leq 3$

Hatada, Kazuyuki

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p. 189-193

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Quadratic forms and elliptic curves, II

Ono, Takashi

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p. 194-196

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Einstein normal homogeneous Riemannian manifold

Park, Joon-sik

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p. 197-198

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On Hasse zeta functions of enveloping algebras of solvable Lie algebras $S2$

Fukaya, Takako

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p. 199-201

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Transcendence of Jacobi's theta series

Duverney, Daniel ; Nishioka, Keiji ; Nishioka, Kumiko ; Shiokawa, Iekata

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p. 202-203

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Quadratic forms and elliptic curves, III

Ono, Ken ; Ono, Takashi

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p. 204-205

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On the rank of the elliptic curve $y^2 = x^3 - 2379^2 x$

Nemenzo, Fidel R.

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p. 206-207

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Best constant in weighted Sobolev inequality

Horiuchi, Toshio

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p. 208-211

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Gamelin constants of two-sheeted discs

Hara, Masaru

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p. 212-214

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On an algebra of a certain class of operators in a slab domain in $R^2$

Ueda, Hideo

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p. 215-217

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A new version of the factorization of a differential equation of the form $F\left( {x,y,\tau y} \right) = 0$

Gerard, Raymond ; Tahara, Hidetoshi

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p. 218-220

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Zeta functions of categories

Kurokawa, Nobushige

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p. 221-222

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Heegner points on modular elliptic curves

Nakazato, Hajime

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p. 223-225

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Division polynomials of elliptic curves over finite fields

Cheon, J. ; Hahn, S.

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p. 226-227

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On the rank of the elliptic curve $y^2 = x^3 + k$, II

Kihara, Shoichi

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p. 228-229

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Un théorème d'unicité pour les distributions sphériques sur l'espace tangent à un espace symétrique

Torossian, Charles

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p. 230-231

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On Bloch-to-Besov composition operators

Makhmutov, Shamil

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p. 232-234

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Property $C$ with constraints for PDE

Ramm, A. G.

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p. 235-237

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Totally real minimal submanifolds in a quaternion projective space

Ximin, Liu

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p. 238-239

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The structure of subgroup of mapping class groups generated by two Dehn twists

Ishida, Atsushi

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p. 240-241

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