Sommaire du Fascicule no. 10

An analogue of Yi's theorem to holomorphic mappings

Shirosaki, Manabu ; Ueda, Masatsugu

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p. 1-3

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A stochastic variational condition for the Maxwell connections

Hara, Keisuke

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p. 4-5

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Error bounds on the Trotter-Kato product formula of relativistic Schrödinger operators with electromagnetic fields

Doumeki, Atsushi

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p. 7-12

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Essential self-adjointness of Dirac operators with a variable mass term

Kalf, Hubert ; Yamada, Osanobu

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p. 13-15

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On the Diophantine equation $x(x + 1) \dotsm (x + n) + 1 = y^2$

Abe, Nobuhisa

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p. 16-17

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Milnor's link invariants attached to certain Galois groups over $\mathbf {Q}$

Morishita, Masanori

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p. 18-21

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On arithmetic infinite graphs

Nagoshi, Hirofumi

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p. 22-25

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Trace theorem in a class of anisotropic Sobolev spaces

Shizuta, Yasushi ; Tanaka, Yumi

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p. 27-30

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On a refinement of the regularity theorem for solutions to the characteristic initial boundary value problem for linear symmetric hyperbolic systems

Shizuta, Yasushi ; Tanaka, Yumi

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p. 31-34

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$q$-deformation of the group algebra $k[\widehat {W}]$ associated to the elliptic root system $A_l^{(1,1)}$ ($l \geq 2$)

Takebayashi, Tadayoshi

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p. 35-38

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On complex-tangential curves on the unit sphere on $\mathbf {C}^2$ and homogeneous polynomials

Kim, Hong Oh

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p. 39-43

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

Wada, Hideo

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p. 44-46

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On the final form of the regularity theorem for solutions to the characteristic initial boundary value problem for symmetric hyperbolic systems

Shizuta, Yasushi

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p. 47-50

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Transcendency of zeros of Eisenstein series

Kanou, Naruo

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p. 51-54

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The generalized Whittaker functions for $SU(2,1)$ and the Fourier expansion of automorphic forms

Ishikawa, Yoshi-hiro

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p. 55-59

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Asymptotic behaviour of length spectrum of circles on non-flat complex space forms

Adachi, Toshiaki

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p. 60-65

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Irregular Diophantine $m$-tuples and elliptic curves of high rank

Dujella, Andrej

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p. 66-67

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A note on $K3$ surfaces and sphere packings

Shioda, Tetsuji

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p. 68-72

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Boundedness of canonical $\mathbf {Q}$-Fano 3-folds

Kollár, János ; Miyaoka, Yoichi ; Mori, Shigefumi ; Takagi, Hiromichi

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p. 73-77

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A note on unramified quadratic extensions over algebraic number fields

Ichimura, Humio

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p. 78-81

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Trigonal modular curves $X_0^*(N)$

Hasegawa, Yuji ; Shimura, Mahoro

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p. 83-86

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Sur les anneaux intègres linéairement compacts

Tabaâ, Mohamed

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p. 87-90

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The negative Pell equation and Pythagorean triples

Grytczk, Aleksander ; Luca, Florian ; Wójtowicz, Marek

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p. 91-94

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Coefficient bounds and convolution properties for certain classes of close-to-convex functions

Kim, Yong Chan ; Choi, Jae Ho ; Sugawa, Toshiyuki

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p. 95-98

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A note on the Demjanenko matrices related to the cyclotomic $\mathbf {Z}_p$-extension

Tsumura, Hirofumi

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p. 99-103

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Some congruences for binomial coefficients. II

Lee, Dong Hoon ; Hahn, Sang Geun

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p. 104-107

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Greenberg's conjecture and Leopoldt's conjecture

Kubotera, Norikazu

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p. 108-110

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Ichimura-Sumida criterion for Iwasawa $\lambda $-invariants

Fukuda, Takashi ; Komatsu, Keiichi

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p. 111-115

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On certain cohomology sets attached to Riemann surfaces

Ono, Takashi

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p. 116-117

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The ``abc'' conjecture over function fields

Hu, Pei-Chu ; Yang, Chung-Chun

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p. 118-120

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On certain real quadratic fields with class number one

Karaal\.{\i}, Fitnat ; İşcan, Hülya

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p. 121-122

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``Hasse principle'' for extraspecial $p$-groups

Kumar, Manoj ; Vermani, Lekh Raj

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p. 123-125

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On the rank of elliptic curves with a reational point of order 3

Kihara, Shoichi

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p. 126-127

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Efficient computation of rank of elliptic curves using hyperelliptic curves associated with the simplest cubic fields

Kim, Jung Soo

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p. 129-131

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The first layer of $\mathbf {Z}_2^2$-extension over imaginary quadratic fields

Oh, Jangheon

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p. 132-134

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Intersection matrix of a generalized Airy function in terms of skew-Schur polynomials

Iwasaki, Katsunori ; Matsumoto, Keiji

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p. 135-140

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Nonexistence of elliptic curves having everywhere good reduction and cubic discriminant

Kagawa, Takaaki

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p. 141-142

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A twisted invariant for finitely presentable groups

Morifuji, Takayuki

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p. 143-145

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Note on steady solutions of the Eguchi-Oki-Matsumura equation

Hanada, Takao ; Ishimura, Naoyuki ; Nakamura, MasaAki

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p. 146-148

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Global existence of solutions to the Proudman-Johnson equation

Chen, Xinfu ; Okamoto, Hisashi

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p. 149-152

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Fan's inequalities for vector-valued multifunctions

Georgiev, Pando Grigorov ; Tanaka, Tamaki

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p. 153-157

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On generic cyclic polynomials of odd prime degree

Nakano, Shin

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p. 159-162

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On Greenberg's conjecture on a certain real quadratic field

Mizusawa, Yasushi

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p. 163-164

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Adelic Minkowski's second theorem over a division algebra

Kimata, Seiji ; Watanabe, Takao

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p. 165-167

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Some characterizations of quaternionic space forms

Adachi, Toshiaki ; Maeda, Sadahiro

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p. 168-172

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