The Tokyo Journal of Mathematics was founded in 1978 with the financial support of six institutions in the Tokyo area: Gakushuin University, Keio University, Sophia University, Tokyo Metropolitan University, Tsuda College, and Waseda University. In 2000 Chuo University and Meiji University, and in 2005 Tokai University, joined as supporting institutions.

The journal appears twice a year and publishes original papers on mathematics, both pure and applied.

### Volume 10, Number 1

#### Publication Date: June 1987

Number Theoretical Transformations with Finite Range Structure and Their Ergodic Properties

Shunji ITO and Michiko YURI; 1-32

Appell's Hypergeometric Function $F_2$ and Periods of Certain Elliptic K3 Surfaces

Seiji NISHIYAMA; 33-68

On the Number of Parameters of Linear Differential Equations with Regular Singularities on a Compact Riemann Surface

Michitake KITA; 69-75

A Completely Integrable Hamiltonian System of C. Neumann-type on the Complex Projective Space

Kiyotaka II and Akira YOSHIOKA; 77-86

Remarks on Perturbations of Function Algebras

A Uniqueness Set for the Differential Operator $\Delta_z+\lambda^2$

Mitsuo MORIMOTO and Ryoko WADA; 93-105

On the Exponentially Bounded $C$-semigroups

Naoki TANAKA; 107-117

Generalized Hilbert Transforms in Tempered Distributions

Shiro ISHIKAWA; 119-132

A Note on Test Sufficiency in Weakly Dominated Statistical Experiments

Junji FUJII and Tokitake KUSAMA; 133-137

A Certain Generalized Dedekind Sum

Kiyoshi KATASE; 139-149

A Note on the Transcendental Continued Fractions

Takeshi OKANO; 151-156

On Seminormal Underrings

David E. DOBBS and Takeshi ISHIKAWA; 157-159

Reducibility of Flow-Spines

Ippei ISHII; 161-177

Isogenies between Algebraic Surfaces with Geometric Genus One

David R. MORRISON; 179-187

Small Deformations of Certain Compact Manifolds of Class $L$, II

Kaehler Submanifolds of Complex Space Forms

Masaaki UMEHARA; 203-214

Minimal Tori in $S^3$ Whose Lines of Curvature Lie in $S^2$

Local Isometric Embedding of Two Dimensional Riemannian Manifolds into $\mathbf{R}^3$ with Nonpositive Gaussian Curvature