The Osaka Journal of Mathematics is published quarterly by the joint editorship of the Departments of Mathematics of Osaka University and Osaka City University. Founded in 1964 as continuation of the two journals, the Osaka Mathematical Journal and the Journal of Mathematics, Osaka City University, the journal is devoted entirely to the publication of original works in pure and applied mathematics.

### Volume 50, Number 3

#### Publication Date: September 2013

On relative height zero Brauer characters

Entire solutions for a discrete diffusive equation with bistable convolution type nonlinearity

Jong-Shenq Guo and Ying-Chin Lin; 607-629

Translation hypersurfaces with constant curvature in space forms

Keomkyo Seo; 631-641

On surfaces with $p_{g} = q = 2$, $K^{2} = 5$ and Albanese map of degree 3

Matteo Penegini and Francesco Polizzi; 643-686

On the distribution of $k$-th power free integers, II

Trinh Khanh Duy and Satoshi Takanobu; 687-713

Complete spacelike hypersurfaces in the de Sitter space

Xiaoli Chao; 715-723

Necessary and sufficient conditions for the solvability and maximal regularity of abstract differential equations of mixed type in Hölder spaces

Fatima Zohra Mezeghrani; 725-747

The magnetic flow on the manifold of oriented geodesics of a three dimensional space form

Yamile Godoy and Marcos Salvai; 749-763

Pointwise estimates for ground states of some classes of positivity preserving operators

Ali Beldi, Nedra Belhaj Rhouma and Ali BenAmor; 765-793

Invariant stably complex structures on topological toric manifolds

Hiroaki Ishida; 795-806

Rational Laurent series with purely periodic $\beta$-expansions

Farah Abbes and Mohamed Hbaib; 807-816

A note on generalized radix representations and dynamical systems

Manfred G. Madritsch and Attila Pethő; 817-825

Algebraic versus topological entropy for surfaces over finite fields

Hélène Esnault and Vasudevan Srinivas; 827-846